{"id":58134,"date":"2026-02-04T10:41:18","date_gmt":"2026-02-04T02:41:18","guid":{"rendered":"https:\/\/www.wukongsch.com\/blog\/?p=58134"},"modified":"2026-02-04T15:39:31","modified_gmt":"2026-02-04T07:39:31","slug":"multiples-of-9","status":"publish","type":"post","link":"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/","title":{"rendered":"What Are the Multiples of 9?  Chart, Methods, and Easy Tricks"},"content":{"rendered":"<div style=\"margin-top: 0px; margin-bottom: 0px;\" class=\"sharethis-inline-share-buttons\" ><\/div>\n<p>Do you know why <strong>multiples of 9<\/strong> always seem a little magical?<br>Why do their digits often add up to 9, 18, or 27? And why do teachers love using 9 to teach math patterns?<\/p>\n\n\n\n<p><a href=\"https:\/\/www.wukongsch.com\/\"><strong>Wukong Edu<\/strong><\/a> will explore the <strong>multiples of 9<\/strong> together! In this guide, you\u2019ll learn what they are, see clear lists and tables, discover easy tricks kids love, and understand how multiples of 9 show up in real life. This article is perfect for <strong>students, parents, and beginners<\/strong> who want math explained simply.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"definition-of-multiples-of-9\"><\/span>Definition of <a href=\"https:\/\/www.wukongsch.com\/blog\/kids-multiplication-math-games-post-35737\/\">Multiples<\/a> of 9<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>A <strong>multiple of 9<\/strong> is any number you get when you multiply <strong>9 by a whole number<\/strong>.<\/p>\n\n\n<div class=\"retention-card-new\" data-lang=\"en\" data-subject=\"CHINESE\" data-btnName=\"Get started free!\" data-subTitle=\"Specially tailored for kids aged 3-18 around the world!\">\r\n    <div class=\"retention-card-l\">\r\n        <div class=\"trustpilot-image\"><\/div>\r\n        <h3><p>Learn <span>authentic Chinese<\/span> from those who live and breathe the culture.<\/p>\n<\/h3>\r\n        <p>Specially tailored for kids aged 3-18 around the world!<\/p>\r\n        <a class=\"retention-card-button is-point\" href=\"https:\/\/www.wukongsch.com\/independent-appointment\/?subject=chinese&amp;l=d232a08b-51de-4a90-b301-47ad0f87f71a&amp;booking_triggerevent=BLOG_DETAIL_MODEL_CTA_BUTTON\" data-buttonname=\"\u7acb\u5373\u9884\u7ea6\u6309\u94ae\u70b9\u51fb\" data-event=\"C_Blog_BLOG_DETAIL_MIDDLE_CTA_BUTTON\" data-expose-buttonname=\"\u7acb\u5373\u9884\u7ea6\u6309\u94ae\u66dd\u5149\" data-expose-event=\"D_Blog_BLOG_DETAIL_MIDDLE_CTA_BUTTON\" target=\"_blank\" title=\"Get started free!\">\r\n            Get started free!\r\n        <\/a>\r\n    <\/div>\r\n    <div class=\"retention-card-r\"><\/div>\r\n<\/div>\n\n\n<p>In other words:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>9 \u00d7 1 = 9<\/li>\n\n\n\n<li>9 \u00d7 2 = 18<\/li>\n\n\n\n<li>9 \u00d7 3 = 27<\/li>\n<\/ul>\n\n\n\n<p>Each result is a <strong>multiple of 9<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Simple Rule<\/h3>\n\n\n\n<p>If a number can be written as <strong>9 \u00d7 a whole number<\/strong>, then it is a multiple of 9.<\/p>\n\n\n\n<p>Examples:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>36 = 9 \u00d7 4 \u2705<\/li>\n\n\n\n<li>90 = 9 \u00d7 10 \u2705<\/li>\n\n\n\n<li>25 \u274c (not a multiple of 9)<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"chart-of-the-first-20-multiples-of-9\"><\/span>Chart of the First 20 Multiples of 9<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Below is a clear table showing the <strong>first 20 multiples of 9<\/strong>. This is great for memorization and quick reference.Have kids read this table aloud.And it helps with number rhythm and memory.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" width=\"320\" height=\"480\" src=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/02\/89e14b1c-ae14-4f3b-96af-0249e4a72590-\u6700\u5927\u5bbd\u5ea6-640-\u6700\u5927\u9ad8\u5ea6-480.webp\" alt=\"Chart of the First 20 Multiples of 9\" class=\"wp-image-58137\" style=\"width:506px;height:auto\" srcset=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/02\/89e14b1c-ae14-4f3b-96af-0249e4a72590-\u6700\u5927\u5bbd\u5ea6-640-\u6700\u5927\u9ad8\u5ea6-480.webp 320w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/02\/89e14b1c-ae14-4f3b-96af-0249e4a72590-\u6700\u5927\u5bbd\u5ea6-640-\u6700\u5927\u9ad8\u5ea6-480-200x300.webp 200w\" sizes=\"(max-width: 320px) 100vw, 320px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"what-are-the-multiples-of-9-up-to-150\"><\/span>What Are the Multiples of 9 Up to 150?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Here are the multiples of 9 up to 150 \ud83d\udc47<\/p>\n\n\n\n<p>9, 18, 27, 36, 45,<br>54, 63, 72, 81, 90,<br>99, 108, 117, 126, 135, 144<\/p>\n\n\n\n<p>\u2705 These are all the numbers you get by multiplying 9 \u00d7 1 through 9 \u00d7 16<\/p>\n\n\n\n<p>\u274c 9 \u00d7 17 = 153, which is greater than 150, so it\u2019s not included.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>9 \u00d7 n<\/th><th>Result<\/th><\/tr><\/thead><tbody><tr><td>9 \u00d7 1<\/td><td>9<\/td><\/tr><tr><td>9 \u00d7 2<\/td><td>18<\/td><\/tr><tr><td>9 \u00d7 3<\/td><td>27<\/td><\/tr><tr><td>9 \u00d7 4<\/td><td>36<\/td><\/tr><tr><td>9 \u00d7 5<\/td><td>45<\/td><\/tr><tr><td>9 \u00d7 6<\/td><td>54<\/td><\/tr><tr><td>9 \u00d7 7<\/td><td>63<\/td><\/tr><tr><td>9 \u00d7 8<\/td><td>72<\/td><\/tr><tr><td>9 \u00d7 9<\/td><td>81<\/td><\/tr><tr><td>9 \u00d7 10<\/td><td>90<\/td><\/tr><tr><td>9 \u00d7 11<\/td><td>99<\/td><\/tr><tr><td>9 \u00d7 12<\/td><td>108<\/td><\/tr><tr><td>9 \u00d7 13<\/td><td>117<\/td><\/tr><tr><td>9 \u00d7 14<\/td><td>126<\/td><\/tr><tr><td>9 \u00d7 15<\/td><td>135<\/td><\/tr><tr><td>9 \u00d7 16<\/td><td>144<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"how-many-multiples-of-9-are-in-100\"><\/span>How Many Multiples of 9 Are in 100?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" width=\"320\" height=\"240\" src=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/02\/Multiples-of-Nine-2-1-\u6700\u5927\u5bbd\u5ea6-640-\u6700\u5927\u9ad8\u5ea6-480-\u6700\u5927\u5bbd\u5ea6-320-\u6700\u5927\u9ad8\u5ea6-240.webp\" alt=\"How Many Multiples of 9 Are in 100?\" class=\"wp-image-58138\" style=\"width:458px;height:auto\" srcset=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/02\/Multiples-of-Nine-2-1-\u6700\u5927\u5bbd\u5ea6-640-\u6700\u5927\u9ad8\u5ea6-480-\u6700\u5927\u5bbd\u5ea6-320-\u6700\u5927\u9ad8\u5ea6-240.webp 320w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/02\/Multiples-of-Nine-2-1-\u6700\u5927\u5bbd\u5ea6-640-\u6700\u5927\u9ad8\u5ea6-480-\u6700\u5927\u5bbd\u5ea6-320-\u6700\u5927\u9ad8\u5ea6-240-300x225.webp 300w\" sizes=\"(max-width: 320px) 100vw, 320px\" \/><\/figure>\n\n\n\n<p>To find <strong>how many multiples of 9 are in 100<\/strong>, divide 100 by 9 and keep only the whole number:<\/p>\n\n\n\n<p>100 \u00f7 9 = <strong>11.11\u2026<\/strong><\/p>\n\n\n\n<p>So there are <strong>11 multiples of 9 in 100<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">The multiples of 9 up to 100 are:<\/h3>\n\n\n\n<p>9, 18, 27, 36, 45,<br>54, 63, 72, 81, 90, 99<\/p>\n\n\n\n<p>\u2705 <strong>Answer:<\/strong> <strong>11 multiples of 9<\/strong><br>\u274c The next one, 108, is greater than 100.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"how-to-explain-multiples-of-9-simply-to-a-child\"><\/span>How to Explain Multiples of 9 Simply to a Child?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>This is where <strong>multiples of 9<\/strong> become really fun. They follow patterns that make them easy to spot.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. Digit Sum Trick (Most Famous!)<\/h3>\n\n\n\n<p>Add the digits of a number.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the digits add up to <strong>9 or a multiple of 9<\/strong>, the number is a multiple of 9.<\/li>\n<\/ul>\n\n\n\n<p>Examples:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>45 \u2192 4 + 5 = 9 \u2705<\/li>\n\n\n\n<li>72 \u2192 7 + 2 = 9 \u2705<\/li>\n\n\n\n<li>162 \u2192 1 + 6 + 2 = 9 \u2705<\/li>\n<\/ul>\n\n\n\n<p>If the sum is <strong>not<\/strong> 9, 18, 27, etc., then it\u2019s not a multiple of 9.<\/p>\n\n\n\n<p>This trick is part of the <strong>divisibility rule for 9<\/strong>, which you\u2019ll see again later.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2. Finger Trick for 9 Times Table<\/h3>\n\n\n\n<p>Kids love this one!<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Hold up both hands (10 fingers).<\/li>\n\n\n\n<li>To find 9 \u00d7 4, bend down your <strong>4th finger<\/strong> from the left.<\/li>\n\n\n\n<li>Count fingers:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Fingers on the left = tens<\/li>\n\n\n\n<li>Fingers on the right = ones<\/li>\n<\/ul>\n\n\n\n<p>You\u2019ll get <strong>36<\/strong>!<\/p>\n\n\n\n<p>This trick works for 9 \u00d7 1 through 9 \u00d7 10 and helps visual learners a lot.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3. Number Pattern in the Ones and Tens<\/h3>\n\n\n\n<p>Look at the multiples of 9:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>09<\/li>\n\n\n\n<li>18<\/li>\n\n\n\n<li>27<\/li>\n\n\n\n<li>36<\/li>\n\n\n\n<li>45<\/li>\n\n\n\n<li>54<\/li>\n\n\n\n<li>63<\/li>\n\n\n\n<li>72<\/li>\n\n\n\n<li>81<\/li>\n\n\n\n<li>90<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"615\" height=\"343\" src=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/02\/\u5c4f\u5e55\u622a\u56fe-2026-02-04-100139-\u6700\u5927\u5bbd\u5ea6-640-\u6700\u5927\u9ad8\u5ea6-480.webp\" alt=\"3. Number Pattern in the Ones and Tens\" class=\"wp-image-58139\" srcset=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/02\/\u5c4f\u5e55\u622a\u56fe-2026-02-04-100139-\u6700\u5927\u5bbd\u5ea6-640-\u6700\u5927\u9ad8\u5ea6-480.webp 615w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/02\/\u5c4f\u5e55\u622a\u56fe-2026-02-04-100139-\u6700\u5927\u5bbd\u5ea6-640-\u6700\u5927\u9ad8\u5ea6-480-300x167.webp 300w\" sizes=\"(max-width: 615px) 100vw, 615px\" \/><\/figure>\n\n\n\n<p>Notice:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The <strong>tens digit goes up by 1<\/strong><\/li>\n\n\n\n<li>The <strong>ones digit goes down by 1<\/strong><\/li>\n<\/ul>\n\n\n\n<p>This beautiful pattern is one reason teachers call multiples of 9 \u201cmath magic.\u201d<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"common-multiples-of-9-and-1027-with-lcm\"><\/span>Common Multiples of 9 and 10~27 with LCM<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Let&#8217;s explore what <strong>common multiples<\/strong> are and how to find the <strong>Least Common Multiple (LCM)<\/strong> for two numbers. We&#8217;ll look at two pairs: <strong>9 and 10<\/strong>, and <strong>9 and 27<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">What Are Common Multiples?<\/h3>\n\n\n\n<p><strong>Common multiples<\/strong> are numbers that are multiples of two or more given numbers. For example, a number that is a multiple of both 9 and 10 is a common multiple of 9 and 10.<\/p>\n\n\n\n<p>The <strong>Least Common Multiple (LCM)<\/strong> is the smallest positive number that is a multiple of both numbers. It&#8217;s a key concept for adding fractions and solving many math problems.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Common Multiples of 9 and number N(example:10)<\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: List Some Multiples<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Multiples of 9:<\/strong> 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, \u2026<\/li>\n\n\n\n<li><strong>Multiples of 10:<\/strong> 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, \u2026<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Identify Common Multiples<\/h3>\n\n\n\n<p>Looking at the lists, the first number that appears in both is <strong>90<\/strong>. The next one is 180 (since 9\u00d720=180 and 10\u00d718=180).<\/p>\n\n\n\n<p><strong>A few common multiples of 9 and 10 are:<\/strong> 90, 180, 270, 360, 450, \u2026<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Find the LCM<\/h3>\n\n\n\n<p>The smallest common multiple is <strong>90<\/strong>. Therefore:<br><strong>LCM(9, 10) = 90.<\/strong><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>Quick Fact:<\/strong> Since 9 and 10 share no common factors (they are <strong>relatively prime<\/strong>), their LCM is simply their product: 9 \u00d7 10 = 90. All common multiples are multiples of 90.<\/p>\n<\/blockquote>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Number<\/th><th>LCM(9, n)<\/th><th>First Few Common Multiples<\/th><\/tr><\/thead><tbody><tr><td>9&amp;10<\/td><td>90<\/td><td>90, 180, 270<\/td><\/tr><tr><td>9&amp;11<\/td><td>99<\/td><td>99, 198, 297<\/td><\/tr><tr><td>9&amp;12<\/td><td>36<\/td><td>36, 72, 108<\/td><\/tr><tr><td>9&amp;13<\/td><td>117<\/td><td>117, 234, 351<\/td><\/tr><tr><td>9&amp;14<\/td><td>126<\/td><td>126, 252, 378<\/td><\/tr><tr><td>9&amp;15<\/td><td>45<\/td><td>45, 90, 135<\/td><\/tr><tr><td>9&amp;16<\/td><td>144<\/td><td>144, 288, 432<\/td><\/tr><tr><td>9&amp;17<\/td><td>153<\/td><td>153, 306, 459<\/td><\/tr><tr><td>9&amp;18<\/td><td>18<\/td><td>18, 36, 54<\/td><\/tr><tr><td>9&amp;19<\/td><td>171<\/td><td>171, 342, 513<\/td><\/tr><tr><td>9&amp;20<\/td><td>180<\/td><td>180, 360, 540<\/td><\/tr><tr><td>9&amp;21<\/td><td>63<\/td><td>63, 126, 189<\/td><\/tr><tr><td>9&amp;22<\/td><td>198<\/td><td>198, 396, 594<\/td><\/tr><tr><td>9&amp;23<\/td><td>207<\/td><td>207, 414, 621<\/td><\/tr><tr><td>9&amp;24<\/td><td>72<\/td><td>72, 144, 216<\/td><\/tr><tr><td>9&amp;25<\/td><td>225<\/td><td>225, 450, 675<\/td><\/tr><tr><td>9&amp;26<\/td><td>234<\/td><td>234, 468, 702<\/td><\/tr><tr><td>9&amp;27<\/td><td>27<\/td><td>27, 54, 81<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"examples-and-real-life-applications\"><\/span>Examples and Real-Life Applications<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>You might wonder: <em>Where do we actually use multiples of 9?<\/em><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 1: Money<\/h3>\n\n\n\n<p>If one toy costs $9:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>3 toys cost 9 \u00d7 3 = 27 dollars<\/li>\n\n\n\n<li>5 toys cost 9 \u00d7 5 = 45 dollars<\/li>\n<\/ul>\n\n\n\n<p>Those totals are multiples of 9.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 2: Time and Calendars<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>9 minutes, 18 minutes, 27 minutes\u2026 all multiples of 9<\/li>\n\n\n\n<li>Many puzzles and math games use multiples of 9 to test number sense<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Example 3: Classroom Math<\/h3>\n\n\n\n<p>Teachers often use multiples of 9 to:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Teach <strong>patterns<\/strong><\/li>\n\n\n\n<li>Introduce <strong>division<\/strong><\/li>\n\n\n\n<li>Compare with other concepts like<a href=\"https:\/\/www.wukongsch.com\/blog\/multiples-of-3-post-41116\/\"> <em>multiples of 3<\/em> <\/a>or <em><a href=\"https:\/\/www.wukongsch.com\/blog\/multiples-of-6-post-41073\/\">multiples of 6<\/a><\/em><br>(You can explore those topics next for deeper understanding.)<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"related-concepts-divisibility-rule-for-9\"><\/span>Related Concepts: Divisibility Rule for 9<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>The divisibility rule for 9 helps you check large numbers quickly.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">The Core Rule<\/h4>\n\n\n\n<p>A number is divisible by 9 <strong>if and only if the sum of its digits is also divisible by 9<\/strong>.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">How and Why It Works<\/h4>\n\n\n\n<p>In our number system, every place value (ones, tens, hundreds) is a power of 10. When you divide any power of 10 (like 10, 100, or 1000) by 9, the remainder is always 1.<\/p>\n\n\n\n<p>This means a number like 567 is really:<br>(5 x 100) + (6 x 10) + (7 x 1)<br>When divided by 9, this is the same as:<br>(5 x 1) + (6 x 1) + (7 x 1) = 5 + 6 + 7<br>\u2026which is just the sum of its digits (18).<\/p>\n\n\n\n<p>Therefore, the original number (567) and the sum of its digits (18) will have the same remainder when divided by 9. If the digit sum is divisible by 9 (remainder 0), then the original number is also divisible by 9.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Examples<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Is 189 divisible by 9?<\/strong><br>Digit sum: 1 + 8 + 9 = <strong>18<\/strong>.<br>Since 18 \u00f7 9 = 2 (no remainder), <strong>189 is divisible by 9<\/strong>. (189 \u00f7 9 = 21)<\/li>\n\n\n\n<li><strong>Is 999 divisible by 9?<\/strong><br>Digit sum: 9 + 9 + 9 = <strong>27<\/strong>.<br>Since 27 \u00f7 9 = 3, <strong>999 is divisible by 9<\/strong>. (999 \u00f7 9 = 111)<\/li>\n\n\n\n<li><strong>Is 1,234 divisible by 9?<\/strong><br>Digit sum: 1 + 2 + 3 + 4 = <strong>10<\/strong>.<br>10 \u00f7 9 = 1 with a remainder of 1. Therefore, <strong>1,234 is NOT divisible by 9<\/strong>.<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">Related Concepts<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Divisibility Rule for 3:<\/strong> A number is divisible by 3 if the sum of its digits is divisible by 3. (This is related but a weaker condition than the rule for 9).<\/li>\n\n\n\n<li><strong>Digit Sum:<\/strong> The foundation of this rule. You can repeat the digit sum process (e.g., for 99, 9+9=18, then 1+8=9) until you get a single digit.<\/li>\n\n\n\n<li><strong>Casting Out Nines:<\/strong> A historical technique for checking arithmetic calculations, based on this same principle.<\/li>\n\n\n\n<li><strong>Factors and Multiples:<\/strong> If a number &#8216;N&#8217; is divisible by 9, then 9 is a <strong>factor<\/strong> of &#8216;N&#8217;, and &#8216;N&#8217; is a <strong>multiple<\/strong> of 9.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"multiplication-tables\"><\/span>Multiplication Tables<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Multiplication Tables From 1-24<\/h3>\n\n\n\n<p>This collection of multiplication resources is designed to support mastery of <strong>Common Core State Standards<\/strong> for Operations and Algebraic Thinking. Specifically, it aligns with <strong>CCSS.MATH.CONTENT.3.OA.C.7<\/strong>, which requires students to fluently multiply and divide within 100, and <strong>4.OA.B.4<\/strong>, focusing on factors and multiples. By exploring these tables, learners develop the algebraic foundation necessary for mental math fluency and higher-level problem solving.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><td><strong><a href=\"https:\/\/www.wukongsch.com\/blog\/multiplication-chart-1-20-post-39855\/\">Multiplication Chart 1 to 20<\/a><\/strong><\/td><td><strong>Multiplication Tables<\/strong><\/td><\/tr><\/thead><tbody><tr><td>1Times Table<\/td><td><a href=\"https:\/\/www.wukongsch.com\/blog\/multiples-of-2-post-58053\/\">2 Times Table<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.wukongsch.com\/blog\/multiples-of-3-post-41116\/\">3 Times Table <\/a><\/td><td><a href=\"https:\/\/www.wukongsch.com\/blog\/multiples-of-4-post-43055\/\">4 Times Table<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.wukongsch.com\/blog\/multiples-of-5-post-58048\/\">5 Times Table<\/a><\/td><td><a href=\"https:\/\/www.wukongsch.com\/blog\/multiples-of-6-post-41073\/\">6 Times Table<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.wukongsch.com\/blog\/multiples-of-seven-post-41850\/\">7 Times Table<\/a><\/td><td><a href=\"https:\/\/www.wukongsch.com\/blog\/multiples-of-8-math-post-43677\/\">8 Times Table<\/a><\/td><\/tr><tr><td>9 Times Table(this)<\/td><td>10 Times Table<\/td><\/tr><tr><td><a href=\"https:\/\/www.wukongsch.com\/blog\/11-times-table-post-54986\/\">11 Times Table<\/a><\/td><td><a href=\"https:\/\/www.wukongsch.com\/blog\/multiples-of-12-post-42809\/\">12 Times Table<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.wukongsch.com\/blog\/13-times-table-post-55001\/\">13 Times Table<\/a><\/td><td>14 Times Table<\/td><\/tr><tr><td>15 Times Table<\/td><td>16 Times Table<\/td><\/tr><tr><td>17 Times Table<\/td><td>18 Times Table<\/td><\/tr><tr><td>19 Times Table<\/td><td>20 Times Table<\/td><\/tr><tr><td><a href=\"https:\/\/www.wukongsch.com\/blog\/21-times-table-post-55145\/\">21 Times Table<\/a><\/td><td><a href=\"https:\/\/www.wukongsch.com\/blog\/22-times-table-post-55169\/\">22 Times Table<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.wukongsch.com\/blog\/23-times-table-post-55230\/\">23 Times Table<\/a><\/td><td><a href=\"https:\/\/www.wukongsch.com\/blog\/24-times-table-post-55248\/\">24 Times Table<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"final-thoughts\"><\/span>Final Thoughts<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Remember, <strong>multiples of 9<\/strong> are everywhere in math\u2014and they follow some of the coolest patterns you\u2019ll ever see.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Key Takeaways:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiples of 9 come from 9 \u00d7 whole numbers<\/li>\n\n\n\n<li>Their digits often add up to 9 or 18<\/li>\n\n\n\n<li>Easy tricks make them fun and simple to learn<\/li>\n\n\n\n<li>They help build strong number sense for future math topics<\/li>\n<\/ul>\n\n\n\n<p>Try this next:Look around and see how many multiples of 9 you can spot today. Practice makes patterns stick!How many multiples of nine are there? When doing arithmetic, how can one avoid confusion? Remember to read this article from <a href=\"https:\/\/www.wukongsch.com\/math\/\">Wukong Math.<\/a> The courses and teachers here will help you solve this problem.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"faqs\"><\/span>FAQS<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div class=\"schema-faq\"><div class=\"schema-faq-section\" id=\"faq-question-1770169024475\"><strong class=\"schema-faq-question\">Is 0 a multiple of 9?<\/strong> <p class=\"schema-faq-answer\">Yes! Because 9 \u00d7 0 = 0.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1770169036753\"><strong class=\"schema-faq-question\">Are all multiples of 9 also multiples of 3?<\/strong> <p class=\"schema-faq-answer\">Yes. Every multiple of 9 is also a multiple of 3.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1770169047207\"><strong class=\"schema-faq-question\">What is the smallest positive multiple of 9?<\/strong> <p class=\"schema-faq-answer\">The smallest positive one is 9.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1770169223458\"><strong class=\"schema-faq-question\">How many numbers are multiples of 9?<\/strong> <p class=\"schema-faq-answer\">The number of <strong>multiples of 9<\/strong> depends on the range you are looking at.<br\/>You can find how many by:<br\/><strong>Dividing the largest number by 9<\/strong><br\/>Examples:<br\/>Up to 100: 100 \u00f7 9 = 11 (so there are <strong>11 multiples of 9<\/strong>)<br\/>Up to 200: 200 \u00f7 9 = 22 (so there are <strong>22 multiples of 9<\/strong>)<br\/>This rule works every time and is easy for kids to learn.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1770169234822\"><strong class=\"schema-faq-question\">What are the multiples of 9 to 100?<\/strong> <p class=\"schema-faq-answer\">The <strong>multiples of 9 to 100<\/strong> are numbers from 9 \u00d7 1 to 9 \u00d7 11.<br\/>They are:<br\/>9, 18, 27, 36, 45<br\/>54, 63, 72, 81, 90<br\/>99<br\/>These are the most commonly memorized multiples of 9 for elementary students.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1770169261470\"><strong class=\"schema-faq-question\">What are the multiples of 9 up to 200?<\/strong> <p class=\"schema-faq-answer\">The <strong>multiples of 9 up to 200<\/strong> start at 9 and go up to 9 \u00d7 22.<br\/>Here is the full list:<br\/>9, 18, 27, 36, 45<br\/>54, 63, 72, 81, 90<br\/>99, 108, 117, 126, 135<br\/>144, 153, 162, 171, 180<br\/>189, 198<br\/>The <strong>largest multiple of 9 less than 200 is 198<\/strong>.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1770169285500\"><strong class=\"schema-faq-question\">What are the multiples of 9 up to 1000?<\/strong> <p class=\"schema-faq-answer\">The <strong>multiples of 9 up to 1000<\/strong> are all numbers you get by multiplying 9 by whole numbers, starting from 9 \u00d7 1 and ending at 9 \u00d7 111.<br\/>They begin with:<br\/>9, 18, 27, 36, 45, 54, 63, 72, 81, 90 \u2026<br\/>And they end with:<br\/>972, 981, 990, 999<br\/>So, the <strong>largest multiple of 9 less than 1000 is 999<\/strong>.<\/p> <\/div> <\/div>\n\n\n<div class=\"retention-card-new\" data-lang=\"en\" data-subject=\"CHINESE\" data-btnName=\"Get started free!\" data-subTitle=\"Specially tailored for kids aged 3-18 around the world!\">\r\n    <div class=\"retention-card-l\">\r\n        <div class=\"trustpilot-image\"><\/div>\r\n        <h3><p>Learn <span>authentic Chinese<\/span> from those who live and breathe the culture.<\/p>\n<\/h3>\r\n        <p>Specially tailored for kids aged 3-18 around the world!<\/p>\r\n        <a class=\"retention-card-button is-point\" href=\"https:\/\/www.wukongsch.com\/independent-appointment\/?subject=chinese&amp;l=d232a08b-51de-4a90-b301-47ad0f87f71a&amp;booking_triggerevent=BLOG_DETAIL_MODEL_CTA_BUTTON\" data-buttonname=\"\u7acb\u5373\u9884\u7ea6\u6309\u94ae\u70b9\u51fb\" data-event=\"C_Blog_BLOG_DETAIL_MIDDLE_CTA_BUTTON\" data-expose-buttonname=\"\u7acb\u5373\u9884\u7ea6\u6309\u94ae\u66dd\u5149\" data-expose-event=\"D_Blog_BLOG_DETAIL_MIDDLE_CTA_BUTTON\" target=\"_blank\" title=\"Get started free!\">\r\n            Get started free!\r\n        <\/a>\r\n    <\/div>\r\n    <div class=\"retention-card-r\"><\/div>\r\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Do you know why multiples of 9 always seem a little magical?Why do their digits often add up to 9, 18, or 27? And why do teachers love using 9 to teach math patterns? Wukong Edu will explore the multiples of 9 together! In this guide, you\u2019ll learn what they are, see clear lists and tables, discover easy tricks kids love, and understand how multiples of 9 show up in real life. This article is perfect for students, parents, and beginners who want math explained simply. Definition of Multiples of 9 A multiple of 9 is any number you get when you multiply 9 by a whole number. In other words: Each result is a multiple of 9. Simple Rule&#46;&#46;&#46;<\/p>\n","protected":false},"author":211806805,"featured_media":58137,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","footnotes":""},"categories":[137431,135657],"tags":[134817],"class_list":["post-58134","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-137431","category-math-education-news","tag-wukong-math"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What Are the Multiples of 9? Chart, Methods, and Easy Tricks - WuKong Edu Blog<\/title>\n<meta name=\"description\" content=\"Learn what multiples of 9 are with simple definitions, a clear list, fun patterns, and easy tricks. 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He teaches students the ways to flexible thinking and quick thinking in sloving math questions, and he is good at inspiring and guiding students to think about mathematical problems and find solutions.\",\"url\":\"https:\/\/www.wukongsch.com\/blog\/author\/james\/\"},{\"@type\":\"Question\",\"@id\":\"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/#faq-question-1770169024475\",\"position\":1,\"url\":\"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/#faq-question-1770169024475\",\"name\":\"Is 0 a multiple of 9?\",\"answerCount\":1,\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Yes! Because 9 \u00d7 0 = 0.\",\"inLanguage\":\"en-US\"},\"inLanguage\":\"en-US\"},{\"@type\":\"Question\",\"@id\":\"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/#faq-question-1770169036753\",\"position\":2,\"url\":\"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/#faq-question-1770169036753\",\"name\":\"Are all multiples of 9 also multiples of 3?\",\"answerCount\":1,\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Yes. Every multiple of 9 is also a multiple of 3.\",\"inLanguage\":\"en-US\"},\"inLanguage\":\"en-US\"},{\"@type\":\"Question\",\"@id\":\"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/#faq-question-1770169047207\",\"position\":3,\"url\":\"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/#faq-question-1770169047207\",\"name\":\"What is the smallest positive multiple of 9?\",\"answerCount\":1,\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"The smallest positive one is 9.\",\"inLanguage\":\"en-US\"},\"inLanguage\":\"en-US\"},{\"@type\":\"Question\",\"@id\":\"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/#faq-question-1770169223458\",\"position\":4,\"url\":\"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/#faq-question-1770169223458\",\"name\":\"How many numbers are multiples of 9?\",\"answerCount\":1,\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"The number of u003cstrongu003emultiples of 9u003c\/strongu003e depends on the range you are looking at.u003cbr\/u003eYou can find how many by:u003cbr\/u003eu003cstrongu003eDividing the largest number by 9u003c\/strongu003eu003cbr\/u003eExamples:u003cbr\/u003eUp to 100: 100 \u00f7 9 = 11 (so there are u003cstrongu003e11 multiples of 9u003c\/strongu003e)u003cbr\/u003eUp to 200: 200 \u00f7 9 = 22 (so there are u003cstrongu003e22 multiples of 9u003c\/strongu003e)u003cbr\/u003eThis rule works every time and is easy for kids to learn.\",\"inLanguage\":\"en-US\"},\"inLanguage\":\"en-US\"},{\"@type\":\"Question\",\"@id\":\"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/#faq-question-1770169234822\",\"position\":5,\"url\":\"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/#faq-question-1770169234822\",\"name\":\"What are the multiples of 9 to 100?\",\"answerCount\":1,\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"The u003cstrongu003emultiples of 9 to 100u003c\/strongu003e are numbers from 9 \u00d7 1 to 9 \u00d7 11.u003cbr\/u003eThey are:u003cbr\/u003e9, 18, 27, 36, 45u003cbr\/u003e54, 63, 72, 81, 90u003cbr\/u003e99u003cbr\/u003eThese are the most commonly memorized multiples of 9 for elementary students.\",\"inLanguage\":\"en-US\"},\"inLanguage\":\"en-US\"},{\"@type\":\"Question\",\"@id\":\"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/#faq-question-1770169261470\",\"position\":6,\"url\":\"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/#faq-question-1770169261470\",\"name\":\"What are the multiples of 9 up to 200?\",\"answerCount\":1,\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"The u003cstrongu003emultiples of 9 up to 200u003c\/strongu003e start at 9 and go up to 9 \u00d7 22.u003cbr\/u003eHere is the full list:u003cbr\/u003e9, 18, 27, 36, 45u003cbr\/u003e54, 63, 72, 81, 90u003cbr\/u003e99, 108, 117, 126, 135u003cbr\/u003e144, 153, 162, 171, 180u003cbr\/u003e189, 198u003cbr\/u003eThe u003cstrongu003elargest multiple of 9 less than 200 is 198u003c\/strongu003e.\",\"inLanguage\":\"en-US\"},\"inLanguage\":\"en-US\"},{\"@type\":\"Question\",\"@id\":\"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/#faq-question-1770169285500\",\"position\":7,\"url\":\"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/#faq-question-1770169285500\",\"name\":\"What are the multiples of 9 up to 1000?\",\"answerCount\":1,\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"The u003cstrongu003emultiples of 9 up to 1000u003c\/strongu003e are all numbers you get by multiplying 9 by whole numbers, starting from 9 \u00d7 1 and ending at 9 \u00d7 111.u003cbr\/u003eThey begin with:u003cbr\/u003e9, 18, 27, 36, 45, 54, 63, 72, 81, 90 \u2026u003cbr\/u003eAnd they end with:u003cbr\/u003e972, 981, 990, 999u003cbr\/u003eSo, the u003cstrongu003elargest multiple of 9 less than 1000 is 999u003c\/strongu003e.\",\"inLanguage\":\"en-US\"},\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"What Are the Multiples of 9? 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Because 9 \u00d7 0 = 0.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/#faq-question-1770169036753","position":2,"url":"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/#faq-question-1770169036753","name":"Are all multiples of 9 also multiples of 3?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Yes. Every multiple of 9 is also a multiple of 3.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/#faq-question-1770169047207","position":3,"url":"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/#faq-question-1770169047207","name":"What is the smallest positive multiple of 9?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"The smallest positive one is 9.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/#faq-question-1770169223458","position":4,"url":"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/#faq-question-1770169223458","name":"How many numbers are multiples of 9?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"The number of u003cstrongu003emultiples of 9u003c\/strongu003e depends on the range you are looking at.u003cbr\/u003eYou can find how many by:u003cbr\/u003eu003cstrongu003eDividing the largest number by 9u003c\/strongu003eu003cbr\/u003eExamples:u003cbr\/u003eUp to 100: 100 \u00f7 9 = 11 (so there are u003cstrongu003e11 multiples of 9u003c\/strongu003e)u003cbr\/u003eUp to 200: 200 \u00f7 9 = 22 (so there are u003cstrongu003e22 multiples of 9u003c\/strongu003e)u003cbr\/u003eThis rule works every time and is easy for kids to learn.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/#faq-question-1770169234822","position":5,"url":"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/#faq-question-1770169234822","name":"What are the multiples of 9 to 100?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"The u003cstrongu003emultiples of 9 to 100u003c\/strongu003e are numbers from 9 \u00d7 1 to 9 \u00d7 11.u003cbr\/u003eThey are:u003cbr\/u003e9, 18, 27, 36, 45u003cbr\/u003e54, 63, 72, 81, 90u003cbr\/u003e99u003cbr\/u003eThese 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