{"id":41116,"date":"2024-11-06T15:55:30","date_gmt":"2024-11-06T07:55:30","guid":{"rendered":"https:\/\/www.wukongsch.com\/blog\/?p=41116"},"modified":"2026-05-19T15:32:02","modified_gmt":"2026-05-19T07:32:02","slug":"multiples-of-3","status":"publish","type":"post","link":"https:\/\/www.wukongsch.com\/blog\/multiples-of-3-post-41116\/","title":{"rendered":"What Are the Multiples of 3? Complete List, Examples for Kids"},"content":{"rendered":"<div style=\"margin-top: 0px; margin-bottom: 0px;\" class=\"sharethis-inline-share-buttons\" ><\/div>\n<p>The multiples of 3 are numbers that can be divided by 3 with no remainder. The first multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, and 30. You can find them by multiplying 3 by 1, 2, 3, 4, and so on, or by adding 3 each time.<\/p>\n\n\n\n<p>Understanding multiples of 3 is a key skill in the U.S. Common Core State Standards for Mathematics, covered in 4th grade under Operations &amp; Algebraic Thinking (standard 4.OA.B.4). Students learn to determine whether a whole number is a multiple of a given one-digit number, recognize relationships between factors and multiples, and use them to solve real-world problems.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"learn-multiples-of-3-tool\"><\/span>Learn Multiples of 3 Tool<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div id=\"multiples-tool-container\" style=\"max-width: 500px; margin: 30px auto; font-family: 'Segoe UI', Arial, sans-serif; background: #ffffff; border-radius: 15px; box-shadow: 0 10px 30px rgba(0,0,0,0.1); border: 1px solid #e3f2fd; overflow: hidden;\">\n    \n    <!-- \u5934\u90e8 -->\n    <div style=\"background: #1976d2; padding: 20px; color: white; text-align: center;\">\n        <h3 style=\"margin: 0; font-size: 22px;\">Multiples of 3 Tool<\/h3>\n        <p style=\"margin: 5px 0 0; opacity: 0.9; font-size: 14px;\">Check Divisibility &#038; Generate Lists<\/p>\n    <\/div>\n\n    <!-- \u6807\u7b7e\u9875\u5207\u6362 -->\n    <div style=\"display: flex; background: #f5f5f5; border-bottom: 1px solid #ddd;\">\n        <button onclick=\"switchTab('check')\" id=\"tab-check\" style=\"flex:1; padding: 12px; border: none; background: white; cursor: pointer; font-weight: bold; color: #1976d2; border-bottom: 3px solid #1976d2;\">Checker<\/button>\n        <button onclick=\"switchTab('list')\" id=\"tab-list\" style=\"flex:1; padding: 12px; border: none; background: #f5f5f5; cursor: pointer; font-weight: bold; color: #666;\">List Generator<\/button>\n    <\/div>\n\n    <div style=\"padding: 25px;\">\n        <!-- \u90e8\u5206 1: \u68c0\u6d4b\u5668 -->\n        <div id=\"section-check\">\n            <label style=\"display: block; font-size: 14px; color: #555; margin-bottom: 8px;\">Enter a number to check:<\/label>\n            <input type=\"number\" id=\"check-input\" placeholder=\"e.g. 123\" oninput=\"checkMultiple()\" style=\"width: 100%; padding: 12px; border: 2px solid #ddd; border-radius: 8px; font-size: 18px; outline: none; box-sizing: border-box;\">\n            \n            <div id=\"check-result\" style=\"margin-top: 20px; padding: 15px; border-radius: 8px; display: none;\">\n                <!-- \u7ed3\u679c\u663e\u793a\u5728\u8fd9\u91cc -->\n            <\/div>\n            \n            <div style=\"margin-top: 15px; font-size: 13px; color: #777; font-style: italic;\">\n                <strong>Pro Tip:<\/strong> A number is a multiple of 3 if the sum of its digits is divisible by 3.\n            <\/div>\n        <\/div>\n\n        <!-- \u90e8\u5206 2: \u5217\u8868\u751f\u6210\u5668 -->\n        <div id=\"section-list\" style=\"display: none;\">\n            <label style=\"display: block; font-size: 14px; color: #555; margin-bottom: 8px;\">How many multiples do you need?<\/label>\n            <div style=\"display: flex; gap: 10px;\">\n                <input type=\"number\" id=\"list-count\" value=\"10\" min=\"1\" max=\"100\" style=\"width: 80px; padding: 10px; border: 2px solid #ddd; border-radius: 8px; font-size: 16px;\">\n                <button onclick=\"generateList()\" style=\"flex: 1; background: #1976d2; color: white; border: none; border-radius: 8px; cursor: pointer; font-weight: bold;\">Generate List<\/button>\n            <\/div>\n            <div id=\"list-result\" style=\"margin-top: 20px; padding: 15px; background: #f9f9f9; border-radius: 8px; font-size: 16px; line-height: 1.8; word-wrap: break-word; color: #333; border: 1px dashed #ccc;\">\n                3, 6, 9, 12, 15, 18, 21, 24, 27, 30\n            <\/div>\n        <\/div>\n    <\/div>\n<\/div>\n\n<script>\nfunction switchTab(tab) {\n    const isCheck = tab === 'check';\n    document.getElementById('section-check').style.display = isCheck ? 'block' : 'none';\n    document.getElementById('section-list').style.display = isCheck ? 'none' : 'block';\n    \n    document.getElementById('tab-check').style.background = isCheck ? 'white' : '#f5f5f5';\n    document.getElementById('tab-check').style.color = isCheck ? '#1976d2' : '#666';\n    document.getElementById('tab-check').style.borderBottom = isCheck ? '3px solid #1976d2' : 'none';\n    \n    document.getElementById('tab-list').style.background = !isCheck ? 'white' : '#f5f5f5';\n    document.getElementById('tab-list').style.color = !isCheck ? '#1976d2' : '#666';\n    document.getElementById('tab-list').style.borderBottom = !isCheck ? '3px solid #1976d2' : 'none';\n}\n\nfunction checkMultiple() {\n    const val = document.getElementById('check-input').value;\n    const resDiv = document.getElementById('check-result');\n    \n    if (!val) {\n        resDiv.style.display = 'none';\n        return;\n    }\n    \n    resDiv.style.display = 'block';\n    const num = parseInt(val);\n    const sumOfDigits = val.split('').reduce((a, b) => parseInt(a) + (parseInt(b) || 0), 0);\n    \n    if (num % 3 === 0) {\n        resDiv.style.background = '#e8f5e9';\n        resDiv.style.color = '#2e7d32';\n        resDiv.style.border = '1px solid #c8e6c9';\n        resDiv.innerHTML = `<strong>Yes!<\/strong> ${num} is a multiple of 3.<br><small>Calculation: Sum of digits (${val.split('').join('+')}) = ${sumOfDigits}, which is divisible by 3.<\/small>`;\n    } else {\n        resDiv.style.background = '#ffebee';\n        resDiv.style.color = '#c62828';\n        resDiv.style.border = '1px solid #ffcdd2';\n        resDiv.innerHTML = `<strong>No.<\/strong> ${num} is not a multiple of 3.<br><small>Calculation: Sum of digits (${val.split('').join('+')}) = ${sumOfDigits}, not divisible by 3.<\/small>`;\n    }\n}\n\nfunction generateList() {\n    const count = parseInt(document.getElementById('list-count').value) || 10;\n    const multiples = [];\n    for (let i = 1; i <= Math.min(count, 100); i++) {\n        multiples.push(i * 3);\n    }\n    document.getElementById('list-result').innerText = multiples.join(', ');\n}\n<\/script>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"what-are-multiples-of-3\"><\/span>What Are Multiples of 3?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/images.surferseo.art\/bd170d5d-0a9e-45ee-9458-f06ec3458a43.png\" alt=\"Multiples of 3 example\" style=\"width:893px;height:auto\"\/><\/figure><\/div>\n\n\n<p>A multiple of 3 is the product of 3 and a whole number.<\/p>\n<div class=\"retention-card-new\" data-lang=\"en\" data-subject=\"MATH\" data-btnName=\"Get started free!\" data-subTitle=\"Suitable for students worldwide, from grades 1 to 12.\">\r\n    <div class=\"retention-card-l\">\r\n        <div class=\"trustpilot-image\"><\/div>\r\n        <h3><p>Discovering the maths whiz in every child,<br \/>\n<span>that's what we do.<\/span><\/p>\n<\/h3>\r\n        <p>Suitable for students worldwide, from grades 1 to 12.<\/p>\r\n        <a class=\"retention-card-button is-point\" href=\"https:\/\/www.wukongsch.com\/independent-appointment\/?subject=math&amp;l=eafd8b18-486b-4e0a-b93d-4105d41d2067&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>For example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>3 x 1 = 3<\/li>\n\n\n\n<li>3 x 2 = 6<\/li>\n\n\n\n<li>3 x 3 = 9<\/li>\n\n\n\n<li>3 x 4 = 12<\/li>\n\n\n\n<li>3 x 5 = 15<\/li>\n<\/ul>\n\n\n\n<p>So, 3, 6, 9, 12, and 15 are multiples of 3.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Simple Definition<\/h3>\n\n\n\n<p>A multiple of 3 is any number that appears in the 3 times table.<\/p>\n\n\n\n<p>If a number can be divided by 3 evenly, it is a multiple of 3.<\/p>\n\n\n\n<p>Examples:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>12 is a multiple of 3 because 12 \u00f7 3 = 4.<\/li>\n\n\n\n<li>21 is a multiple of 3 because 21 \u00f7 3 = 7.<\/li>\n\n\n\n<li>25 is not a multiple of 3 because 25 \u00f7 3 has a remainder.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Formula for Multiples of 3<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Formula<\/th><th>Multiple of 3<\/th><\/tr><\/thead><tbody><tr><td>3 x 1<\/td><td>3<\/td><\/tr><tr><td>3 x 2<\/td><td>6<\/td><\/tr><tr><td>3 x 3<\/td><td>9<\/td><\/tr><tr><td>3 x 4<\/td><td>12<\/td><\/tr><tr><td>3 x 5<\/td><td>15<\/td><\/tr><tr><td>3 x 10<\/td><td>30<\/td><\/tr><tr><td>3 x 20<\/td><td>60<\/td><\/tr><tr><td>3 x 50<\/td><td>150<\/td><\/tr><tr><td>3 x 100<\/td><td>300<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">How to Explain Multiples of 3 Simply to a Child<\/h3>\n\n\n\n<p>A simple way is to say:<\/p>\n\n\n\n<p>\u201cStart at 3. Then keep adding 3.\u201d<\/p>\n\n\n\n<p>So we get:<\/p>\n\n\n\n<p>3, 6, 9, 12, 15, 18, 21, 24, 27, 30...<\/p>\n\n\n\n<p>This is called skip counting by 3.<\/p>\n\n\n\n<p>You can also use real objects. Put counters, blocks, or pencils into groups of 3.<\/p>\n\n\n\n<p>For example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1 group of 3 = 3<\/li>\n\n\n\n<li>2 groups of 3 = 6<\/li>\n\n\n\n<li>3 groups of 3 = 9<\/li>\n\n\n\n<li>4 groups of 3 = 12<\/li>\n<\/ul>\n\n\n\n<p>This helps children see the pattern clearly.<br>Clap your hands and count <strong>3, 6, 9, 12\u2026<\/strong> \u2014 it helps remember the pattern!<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Multiples of 3 on a Number Line<\/h3>\n\n\n\n<p>Multiples of 3 can be shown on a number line. Start at 0. Then jump 3 spaces each time.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/images.surferseo.art\/313816b3-4ab6-4fe8-bcc8-c0b09e28ae7e.png\" alt=\"The multiples of 3 can be visualized on a number line\"\/><\/figure>\n\n\n\n<p>As you can see, the sequence continues indefinitely, creating an infinite list of multiples of 3. <\/p>\n\n\n<div  id=\"_ytid_54337\"  width=\"740\" height=\"416\"  data-origwidth=\"740\" data-origheight=\"416\" data-facadesrc=\"https:\/\/www.youtube.com\/embed\/TpAdUqT3JLo?enablejsapi=1&#038;autoplay=0&#038;cc_load_policy=0&#038;iv_load_policy=1&#038;loop=0&#038;modestbranding=0&#038;fs=1&#038;playsinline=0&#038;controls=1&#038;color=red&#038;cc_lang_pref=&#038;rel=1&#038;autohide=2&#038;theme=dark&#038;\" class=\"__youtube_prefs__ epyt-facade no-lazyload\" data-epautoplay=\"1\" ><img decoding=\"async\" data-spai-excluded=\"true\" class=\"epyt-facade-poster skip-lazy\" loading=\"lazy\"  alt=\"YouTube player\"  src=\"https:\/\/i.ytimg.com\/vi\/TpAdUqT3JLo\/maxresdefault.jpg\"  \/><button class=\"epyt-facade-play\" aria-label=\"Play\"><svg data-no-lazy=\"1\" height=\"100%\" version=\"1.1\" viewBox=\"0 0 68 48\" width=\"100%\"><path class=\"ytp-large-play-button-bg\" d=\"M66.52,7.74c-0.78-2.93-2.49-5.41-5.42-6.19C55.79,.13,34,0,34,0S12.21,.13,6.9,1.55 C3.97,2.33,2.27,4.81,1.48,7.74C0.06,13.05,0,24,0,24s0.06,10.95,1.48,16.26c0.78,2.93,2.49,5.41,5.42,6.19 C12.21,47.87,34,48,34,48s21.79-0.13,27.1-1.55c2.93-0.78,4.64-3.26,5.42-6.19C67.94,34.95,68,24,68,24S67.94,13.05,66.52,7.74z\" fill=\"#f00\"><\/path><path d=\"M 45,24 27,14 27,34\" fill=\"#fff\"><\/path><\/svg><\/button><\/div>\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"properties-of-multiples-of-3\"><\/span>Properties of Multiples of 3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Multiples of 3 have several interesting properties that make them useful in various mathematical applications. Understanding these properties can help you recognize patterns and solve problems more efficiently.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Is 0 a Multiple of 3?<\/h3>\n\n\n\n<p>Yes, 0 is a multiple of 3. In fact, 0 is a multiple of every number, including 3. This is because 0 can be divided by any number without leaving a remainder. For example, 0 \u00f7 3 = 0, which means 0 is a multiple of 3.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Are the Multiples of 3 Always Odd or Even?<\/h3>\n\n\n\n<p>No, the multiples of 3 are not always odd or even. When 3 is multiplied by an even number, the product is even, and when 3 is multiplied by an odd number, the product is odd. When 3 is multiplied by an odd number, the product is odd because 3 times an odd number results in an odd product. For example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>3 \u00d7 2 = 6 (even)<\/li>\n\n\n\n<li>3 \u00d7 3 = 9 (odd)<\/li>\n<\/ul>\n\n\n\n<p>This pattern continues indefinitely, showing that multiples of 3 can be either odd or even depending on the number they are multiplied by.<\/p>\n\n\n\n<p>To provide a clearer picture, here are the multiples of 3 up to 80 and 100.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Odd and Even Multiples of 3<\/h3>\n\n\n\n<p>Multiples of 3 can be classified into odd and even numbers:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Odd Multiples of 3:<\/strong> These are numbers like 3, 9, 15, etc. They are not divisible by 2, meaning they leave a remainder when divided by 2. When there is an odd number of threes, there are leftover elements that cannot be paired, resulting in an additional unpaired group.<\/li>\n\n\n\n<li><strong>Even Multiples of 3:<\/strong> These include numbers like 6, 12, 18, etc. These are divisible by 2 without any remainder.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/images.surferseo.art\/5064a08a-59c7-4f24-ab7e-a8c2b5a8ccfc.png\" alt=\"Odd and Even Multiples of 3\" style=\"width:816px;height:auto\"\/><\/figure><\/div>\n\n\n<p>In summary, the multiples of 3 consist of both odd and even integers, demonstrating the diversity within this series of numbers.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"multiples-of-3-complete-list\"><\/span>Multiples of 3 Complete List<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">How Many Multiples of 3 Are in 100?<\/h3>\n\n\n\n<p>To find this, we divide:<\/p>\n\n\n\n<p><strong>100 \u00f7 3 = 33 remainder 1<\/strong><\/p>\n\n\n\n<p>That means:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The largest multiple of 3 less than or equal to 100 is <strong>99<\/strong><\/li>\n\n\n\n<li>There are <strong>33 multiples of 3 in 100<\/strong><\/li>\n<\/ul>\n\n\n\n<p><strong>Answer:<\/strong><br>There are <strong>33 multiples of 3 between 1 and 100<\/strong>.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" width=\"704\" height=\"491\" src=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2025\/11\/image-13.png\" alt=\"Multiples of 3 up to 100:\" class=\"wp-image-41118\"\/><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading\">First 20 Multiples of 3<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Number<\/th><th>Multiplication<\/th><th>Multiple of 3<\/th><\/tr><\/thead><tbody><tr><td>1st<\/td><td>3 x 1<\/td><td>3<\/td><\/tr><tr><td>2nd<\/td><td>3 x 2<\/td><td>6<\/td><\/tr><tr><td>3rd<\/td><td>3 x 3<\/td><td>9<\/td><\/tr><tr><td>4th<\/td><td>3 x 4<\/td><td>12<\/td><\/tr><tr><td>5th<\/td><td>3 x 5<\/td><td>15<\/td><\/tr><tr><td>6th<\/td><td>3 x 6<\/td><td>18<\/td><\/tr><tr><td>7th<\/td><td>3 x 7<\/td><td>21<\/td><\/tr><tr><td>8th<\/td><td>3 x 8<\/td><td>24<\/td><\/tr><tr><td>9th<\/td><td>3 x 9<\/td><td>27<\/td><\/tr><tr><td>10th<\/td><td>3 x 10<\/td><td>30<\/td><\/tr><tr><td>11th<\/td><td>3 x 11<\/td><td>33<\/td><\/tr><tr><td>12th<\/td><td>3 x 12<\/td><td>36<\/td><\/tr><tr><td>13th<\/td><td>3 x 13<\/td><td>39<\/td><\/tr><tr><td>14th<\/td><td>3 x 14<\/td><td>42<\/td><\/tr><tr><td>15th<\/td><td>3 x 15<\/td><td>45<\/td><\/tr><tr><td>16th<\/td><td>3 x 16<\/td><td>48<\/td><\/tr><tr><td>17th<\/td><td>3 x 17<\/td><td>51<\/td><\/tr><tr><td>18th<\/td><td>3 x 18<\/td><td>54<\/td><\/tr><tr><td>19th<\/td><td>3 x 19<\/td><td>57<\/td><\/tr><tr><td>20th<\/td><td>3 x 20<\/td><td>60<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Multiples of 3 up to 100<\/h3>\n\n\n\n<p>The multiples of 3 up to 100 are:<\/p>\n\n\n\n<p>3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99.<\/p>\n\n\n\n<p>There are 33 positive multiples of 3 up to 100.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Multiples of 3 up to 150<\/h3>\n\n\n\n<p>The multiples of 3 up to 150 are:<\/p>\n\n\n\n<p>3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105, 108, 111, 114, 117, 120, 123, 126, 129, 132, 135, 138, 141, 144, 147, 150.<\/p>\n\n\n\n<p>There are 50 positive multiples of 3 up to 150.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Multiples of 3 up to 1000<\/h3>\n\n\n\n<p>There are 333 positive multiples of 3 up to 1000.<\/p>\n\n\n\n<p>The first one is 3.<\/p>\n\n\n\n<p>The last one below 1000 is 999.<\/p>\n\n\n\n<p>1000 is not a multiple of 3 because 1 + 0 + 0 + 0 = 1, and 1 is not divisible by 3.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"how-to-identify-multiples-of-3\"><\/span>How to Identify Multiples of 3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>There are two easy and kid-friendly ways to check if a number is a multiple of 3.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Method 1: Skip Counting by 3<\/h3>\n\n\n\n<p>Start at 0 and keep adding 3 each time:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>0, 3, 6, 9, 12, 15, 18, 21, \u2026<\/p>\n<\/blockquote>\n\n\n\n<p>If you can reach the number by counting like this, it\u2019s a multiple of 3.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/images.surferseo.art\/175ef6e2-c8bc-43d4-ab70-4ef578aff0a3.png\" alt=\"Multiples of 3 by Repeated Addition\" style=\"width:856px;height:auto\"\/><\/figure><\/div>\n\n\n<p>\u2705 Example:<br>Is <strong>24<\/strong> a multiple of 3?<br>Yes! You can reach 24 by skip counting.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Method 2: Digit Sum Rule (Very Useful!)<\/h3>\n\n\n\n<p>Add all the digits of the number:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the <strong>sum is a multiple of 3<\/strong>, then the number is also a multiple of 3.<\/li>\n<\/ul>\n\n\n\n<p>\u2705 Example 1:<br>Is <strong>42<\/strong> a multiple of 3?<br>4 + 2 = 6 \u2192 6 is a multiple of 3 \u2192 \u2705 Yes<\/p>\n\n\n\n<p>\u274c Example 2:<br>Is <strong>25<\/strong> a multiple of 3?<br>2 + 5 = 7 \u2192 7 is not a multiple of 3 \u2192 \u274c No<\/p>\n\n\n\n<p>This trick works even for big numbers and is great for quick checks.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"common-multiples-of-3-and-other-numbers\"><\/span>Common Multiples of 3 and Other Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Numbers<\/th><th>Common Multiples (First Few)<\/th><th>LCM<\/th><\/tr><\/thead><tbody><tr><td>3 and 4<\/td><td>12, 24, 36<\/td><td>12<\/td><\/tr><tr><td>3 and 5<\/td><td>15, 30, 45<\/td><td>15<\/td><\/tr><tr><td>3 and 6<\/td><td>6, 12, 18<\/td><td>6<\/td><\/tr><tr><td>3 and 7<\/td><td>21, 42, 63<\/td><td>21<\/td><\/tr><tr><td>3 and 8<\/td><td>24, 48, 72<\/td><td>24<\/td><\/tr><tr><td>3 and 9<\/td><td>9, 18, 27<\/td><td>9<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>A <strong>common multiple<\/strong> is a number that is a multiple of <strong>both numbers at the same time<\/strong>.<br>When we talk about <strong>common multiples of 3 and another number<\/strong>, we are looking for numbers that appear in <strong>both  lists<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Common Multiples of 3 and 4<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiples of 3: 3, 6, 9, 12, 15, <strong>24<\/strong>, 27, 30, 36 \u2026<\/li>\n\n\n\n<li>Multiples of 4: 4, 8, <strong>12<\/strong>, 16, 20, <strong>24<\/strong>, 28, 32, 36 \u2026<\/li>\n<\/ul>\n\n\n\n<p><strong>Common multiples of 3 and 4:<\/strong><br><strong>12, 24, 36, 48, \u2026<\/strong><\/p>\n\n\n\n<p>The <strong>least common multiple (LCM)<\/strong> of 3 and 4 is <strong>12<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Common Multiples of 3 and 5<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiples of 3: 3, 6, 9, 12, <strong>15<\/strong>, 18, 21, 24, 27, <strong>30<\/strong> \u2026<\/li>\n\n\n\n<li>Multiples of 5: 5, 10, <strong>15<\/strong>, 20, 25, <strong>30<\/strong>, 35 \u2026<\/li>\n<\/ul>\n\n\n\n<p><strong>Common multiples of 3 and 5:<\/strong><br><strong>15, 30, 45, 60, \u2026<\/strong><\/p>\n\n\n\n<p>The LCM of 3 and 5 is <strong>15<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Common Multiples of 3 and 6<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiples of 3: 3, <strong>6<\/strong>, 9, 12, <strong>18<\/strong>, 21, 24, <strong>30<\/strong> \u2026<\/li>\n\n\n\n<li>Multiples of 6: <strong>6<\/strong>, 12, <strong>18<\/strong>, 24, <strong>30<\/strong>, 36 \u2026<\/li>\n<\/ul>\n\n\n\n<p><strong>Common multiples of 3 and 6:<\/strong><br><strong>6, 12, 18, 24, 30, \u2026<\/strong><br>The LCM is <strong>6<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Common Multiples of 3 and 7<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiples of 3: 3, 6, 9, 12, 15, 18, <strong>21<\/strong>, 24, 27, <strong>42<\/strong> \u2026<\/li>\n\n\n\n<li>Multiples of 7: 7, 14, <strong>21<\/strong>, 28, 35, <strong>42<\/strong>, 49 \u2026<\/li>\n<\/ul>\n\n\n\n<p><strong>Common multiples of 3 and 7:<\/strong><br><strong>21, 42, 63, \u2026<\/strong><\/p>\n\n\n\n<p>The LCM of 3 and 7 is <strong>21<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Common Multiples of 3 and 8<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiples of 3: 3, 6, 9, 12, 15, 18, <strong>24<\/strong>, 27, <strong>48<\/strong> \u2026<\/li>\n\n\n\n<li>Multiples of 8: 8, 16, <strong>24<\/strong>, 32, 40, <strong>48<\/strong>, 56 \u2026<\/li>\n<\/ul>\n\n\n\n<p><strong>Common multiples of 3 and 8:<\/strong><br><strong>24, 48, 72, \u2026<\/strong><\/p>\n\n\n\n<p> The LCM of 3 and 8 is <strong>24<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Common Multiples of 3 and 9<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiples of 3: 3, 6, <strong>9<\/strong>, 12, 15, <strong>18<\/strong>, 21, <strong>27<\/strong> \u2026<\/li>\n\n\n\n<li>Multiples of 9: <strong>9<\/strong>, <strong>18<\/strong>, <strong>27<\/strong>, 36, 45 \u2026<\/li>\n<\/ul>\n\n\n\n<p><strong>Common multiples of 3 and 9:<\/strong><br><strong>9, 18, 27, 36, 45, \u2026<\/strong><br>The LCM is <strong>9<\/strong>.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"quick-summary-table\"><\/span>Quick Summary Table<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Topic<\/th><th>Answer<\/th><\/tr><\/thead><tbody><tr><td>First multiple of 3<\/td><td>3<\/td><\/tr><tr><td>First 10 multiples of 3<\/td><td>3, 6, 9, 12, 15, 18, 21, 24, 27, 30<\/td><\/tr><tr><td>Multiples of 3 up to 100<\/td><td>3 to 99<\/td><\/tr><tr><td>Number of positive multiples of 3 up to 100<\/td><td>33<\/td><\/tr><tr><td>Is 0 a multiple of 3?<\/td><td>Yes<\/td><\/tr><tr><td>Is 100 a multiple of 3?<\/td><td>No<\/td><\/tr><tr><td>Is 150 a multiple of 3?<\/td><td>Yes<\/td><\/tr><tr><td>Rule for multiples of 3<\/td><td>Add the digits. If the sum is divisible by 3, the number is a multiple of 3.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"examples-and-solved-problems\"><\/span>Examples and Solved Problems<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Example 1<\/h3>\n\n\n\n<p><strong>Is 15 a multiple of 3?<\/strong><br>15 \u00f7 3 = 5 \u2192 whole number<br>\u2705 Yes, 15 is a multiple of 3.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 2<\/h3>\n\n\n\n<p><strong>Is 22 a multiple of 3?<\/strong><br>2 + 2 = 4 \u2192 not a multiple of 3<br>\u274c No, 22 is not a multiple of 3.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 3<\/h3>\n\n\n\n<p><strong>Find the next three multiples of 3 after 18.<\/strong><br>18 + 3 = 21<br>21 + 3 = 24<br>24 + 3 = 27<\/p>\n\n\n\n<p>\u2705 Answer: 21, 24, 27<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 4<\/h3>\n\n\n\n<p><strong>Is 0 a multiple of 3?<\/strong><br>3 \u00d7 0 = 0<br>\u2705 Yes, 0 is a multiple of 3.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 4<\/h3>\n\n\n\n<p><strong>Is 0 a multiple of 3?<\/strong><br>3 \u00d7 0 = 0<br>\u2705 Yes, 0 is a multiple of 3.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 5<\/h3>\n\n\n\n<p><strong>How many multiples of 3 are there?<\/strong><br>There is&nbsp;<strong>no limit<\/strong>. Multiples of 3 go on forever.<\/p>\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 2-12<\/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>Multiplication Chart<\/strong><\/td><td><strong>Article Link<\/strong><\/td><\/tr><\/thead><tbody><tr><td>2<\/td><td><a href=\"https:\/\/www.wukongsch.com\/blog\/multiples-of-2-post-58053\/\">multiples of 2<\/a><\/td><\/tr><tr><td>3<\/td><td>multiples of 3 (this blog)<\/td><\/tr><tr><td>4<\/td><td><a href=\"https:\/\/www.wukongsch.com\/blog\/multiples-of-4-post-43055\/\">multiples of 4<\/a><\/td><\/tr><tr><td>5<\/td><td><a href=\"https:\/\/www.wukongsch.com\/blog\/multiples-of-5-post-58048\/\">multiples of 5<\/a><\/td><\/tr><tr><td>6<\/td><td><a href=\"https:\/\/www.wukongsch.com\/blog\/multiples-of-6-post-41073\/\">multiples of 6<\/a><\/td><\/tr><tr><td>7<\/td><td><a href=\"https:\/\/www.wukongsch.com\/blog\/multiples-of-seven-post-41850\/\">multiples of 7<\/a><\/td><\/tr><tr><td>8<\/td><td><a href=\"https:\/\/www.wukongsch.com\/blog\/multiples-of-8-math-post-43677\/\">multiples of 8<\/a><\/td><\/tr><tr><td>9<\/td><td><a href=\"https:\/\/www.wukongsch.com\/blog\/multiples-of-9-post-58134\/\">multiples of 9<\/a><\/td><\/tr><tr><td>11<\/td><td><a href=\"https:\/\/www.wukongsch.com\/blog\/multiples-of-11-post-58136\/\">multiples of 11<\/a><\/td><\/tr><tr><td>12<\/td><td><a href=\"https:\/\/www.wukongsch.com\/blog\/multiples-of-12-post-42809\/\">multiples of 12<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\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-1770259934638\"><strong class=\"schema-faq-question\"><strong>What are the multiples of 3 from 3 to 100?<\/strong><\/strong> <p class=\"schema-faq-answer\">Multiples of 3 are numbers that can be divided evenly by 3.<br\/>They start at 3 and increase by 3 each time:<br\/>3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1770259949421\"><strong class=\"schema-faq-question\"><strong>What are the multiples of 3 between 100 and 1000?<\/strong><\/strong> <p class=\"schema-faq-answer\">They start at 102 (because 100 + 3 leaves a remainder of 1) and continue by adding 3 each time until 1000:<br\/>102, 105, 108, \u2026 , 996<br\/>This forms an arithmetic sequence from 102 to 996 with a common difference of 3.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1770259950372\"><strong class=\"schema-faq-question\"><strong>What is the first multiple of 3?<\/strong><\/strong> <p class=\"schema-faq-answer\">The smallest positive multiple of 3 is:<br\/>3 x 1 = 3<br\/>So, the first multiple of 3 is 3.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1770259951041\"><strong class=\"schema-faq-question\"><strong>What is the rule for multiples of 3?<\/strong><\/strong> <p class=\"schema-faq-answer\">Add the digits of the number. If the digit sum is divisible by 3, then the number is a multiple of 3.<\/p> <\/div> <\/div>\n<div class=\"retention-card-new\" data-lang=\"en\" data-subject=\"MATH\" data-btnName=\"Get started free!\" data-subTitle=\"Suitable for students worldwide, from grades 1 to 12.\">\r\n    <div class=\"retention-card-l\">\r\n        <div class=\"trustpilot-image\"><\/div>\r\n        <h3><p>Discovering the maths whiz in every child,<br \/>\n<span>that's what we do.<\/span><\/p>\n<\/h3>\r\n        <p>Suitable for students worldwide, from grades 1 to 12.<\/p>\r\n        <a class=\"retention-card-button is-point\" href=\"https:\/\/www.wukongsch.com\/independent-appointment\/?subject=math&amp;l=eafd8b18-486b-4e0a-b93d-4105d41d2067&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>The multiples of 3 are numbers that can be divided by 3 with no remainder. The first multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, and 30. You can find them by multiplying 3 by 1, 2, 3, 4, and so on, or by adding 3 each time. Understanding multiples of 3 is a key skill in the U.S. Common Core State Standards for Mathematics, covered in 4th grade under Operations &amp; Algebraic Thinking (standard 4.OA.B.4). Students learn to determine whether a whole number is a multiple of a given one-digit number, recognize relationships between factors and multiples, and use them to solve real-world problems. Learn Multiples of 3 Tool Multiples of 3 Tool Check&#46;&#46;&#46;<\/p>\n","protected":false},"author":211806805,"featured_media":41119,"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":[134689],"tags":[137137],"class_list":["post-41116","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-math-learning","tag-multiples-of-a-number"],"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 3? 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