{"id":138,"date":"2022-04-12T04:57:53","date_gmt":"2022-04-12T04:57:53","guid":{"rendered":"http:\/\/4thclass.deltapublications.in\/?page_id=138"},"modified":"2025-11-18T10:29:05","modified_gmt":"2025-11-18T10:29:05","slug":"e-12-divisibility-rules-word-problems","status":"publish","type":"page","link":"https:\/\/4thclass.deltapublications.in\/index.php\/e-12-divisibility-rules-word-problems\/","title":{"rendered":"E.12 Divisibility rules: word problems"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong>Divisibility rules: word problems<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-d8d90926adfaafde2192b66c5d83431c\" style=\"color:#74008b\">key notes:<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>What is Divisibility?<\/strong><\/p>\n\n\n\n<p>\ud83d\udd39 A number is <strong>divisible<\/strong> by another if it can be divided <strong>without any remainder<\/strong>.<br>\ud83d\udfe2 Example: 12 \u00f7 3 = 4 \u2705 (12 is divisible by 3)<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Divisibility Rules to Remember:<\/strong><\/p>\n\n\n\n<p><strong>By 2\ufe0f\u20e3:<\/strong> Last digit is 0, 2, 4, 6, or 8.<\/p>\n\n\n\n<p><strong>By 3\ufe0f\u20e3:<\/strong> Sum of digits is divisible by 3.<\/p>\n\n\n\n<p><strong>By 4\ufe0f\u20e3:<\/strong> Last two digits form a number divisible by 4.<\/p>\n\n\n\n<p><strong>By 5\ufe0f\u20e3:<\/strong> Last digit is 0 or 5.<\/p>\n\n\n\n<p><strong>By 6\ufe0f\u20e3:<\/strong> Divisible by <strong>both 2 and 3<\/strong>.<\/p>\n\n\n\n<p><strong>By 9\ufe0f\u20e3:<\/strong> Sum of digits is divisible by 9.<\/p>\n\n\n\n<p><strong>By 10\ufe0f\u20e3:<\/strong> Last digit is 0.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Tips for Word Problems \ud83d\udcdd:<\/strong><\/p>\n\n\n\n<p>\ud83d\udd39 Read the problem carefully.<br>\ud83d\udd39 Identify which divisibility rule applies.<br>\ud83d\udd39 Check numbers using the rules before dividing.<br>\ud83d\udd39 Always write your <strong>remainder<\/strong> if any.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Common Word Problem Examples:<\/strong><\/p>\n\n\n\n<p>\ud83c\udf4e \u201cThere are 24 apples. Can we divide them into baskets of 3 without leftover?\u201d<br>\u2705 24 \u00f7 3 = 8 \u2192 divisible<\/p>\n\n\n\n<p>\ud83c\udf88 \u201cThere are 50 balloons. Can we make groups of 5?\u201d<br>\u2705 50 \u00f7 5 = 10 \u2192 divisible<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Fun Tip \ud83c\udf89:<\/strong><\/p>\n\n\n\n<p>Use <strong>color codes<\/strong> in your notebook:<\/p>\n\n\n\n<p>\ud83d\udd35 Blue for numbers divisible by 2<\/p>\n\n\n\n<p>\ud83d\udd34 Red for numbers divisible by 3<\/p>\n\n\n\n<p>\ud83d\udfe2 Green for numbers divisible by 5<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Quick Check Strategy \u2705:<\/strong><\/p>\n\n\n\n<p>Add digits for 3 &amp; 9<\/p>\n\n\n\n<p>Look at the last digit for 2, 5, 10<\/p>\n\n\n\n<p>Check last 2 digits for 4<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#105000\">Learn with an example<\/h3>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#c3f7f2\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\ud83d\udd25 At the company picnic, 75 employees will participate in a relay race. Each team must be the same size.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-92fcc02d16c591a6a45ac61791c180d3\" style=\"color:#b00012\"> How many teams could the company form for the relay race?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>5<\/li>\n\n\n\n<li>2<\/li>\n\n\n\n<li>10<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>Which number evenly divides 75? Try each number.<\/p>\n\n\n\n<p>First try the &#8220;divisible by 5&#8221; rule on 75.<\/p>\n\n\n\n<p>Look at the ones digit:<\/p>\n\n\n\n<p>7<span style=\"text-decoration: underline;\">5<\/span><br>The ones digit is 5.&nbsp;<br>The rule says that 75 is divisible by 5.<\/p>\n\n\n\n<p>Next try the &#8220;divisible by 2&#8221; rule on 75.<\/p>\n\n\n\n<p>Look at the ones digit:<\/p>\n\n\n\n<p>7<span style=\"text-decoration: underline;\">5<\/span><br>The ones digit is 5.&nbsp;<br>The rule says that 75 is not divisible by 2.<\/p>\n\n\n\n<p>Finally, try the &#8220;divisible by 10&#8221; rule on 75.<\/p>\n\n\n\n<p>Look at the ones digit:<\/p>\n\n\n\n<p>7<span style=\"text-decoration: underline;\">5<\/span><br>The ones digit is 5.&nbsp;<br>The rule says that 75 is not divisible by 10.<\/p>\n\n\n\n<p>75 is divisible by 5.&nbsp;The company could form 5 teams.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#e6c6f4\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\ud83d\udd25 Susan is arranging bottles of nail polish on her chest of drawers. She has 84 bottles and she wants to arrange the bottles so that there are the same number of bottles in each row. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-5e41a4dda2b0b8213b1b079febdd14b6\" style=\"color:#b00012\">How many bottles of nail polish could Susan put in each row?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>5<\/li>\n\n\n\n<li>10<\/li>\n\n\n\n<li>2<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>Which number evenly divides 84? Try each number.<\/p>\n\n\n\n<p>First try the &#8220;divisible by 5&#8221; rule on 84.<\/p>\n\n\n\n<p>Look at the ones digit:<\/p>\n\n\n\n<p>8<span style=\"text-decoration: underline;\">4<\/span><br>The ones digit is 4.&nbsp;<br>The rule says that 84 is not divisible by 5.<\/p>\n\n\n\n<p>Next try the &#8220;divisible by 10&#8221; rule on 84.<\/p>\n\n\n\n<p>Look at the ones digit:<\/p>\n\n\n\n<p>8<span style=\"text-decoration: underline;\">4<\/span><br>The ones digit is 4.&nbsp;<br>The rule says that 84 is not divisible by 10.<\/p>\n\n\n\n<p>Finally, try the &#8220;divisible by 2&#8221; rule on 84.<\/p>\n\n\n\n<p>Look at the ones digit:<\/p>\n\n\n\n<p>8<span style=\"text-decoration: underline;\">4<\/span><br>The ones digit is 4.&nbsp;<br>The rule says that 84 is divisible by 2.<\/p>\n\n\n\n<p>84 is divisible by 2.&nbsp;Susan could put 2 bottles of nail polish in each row.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#c9f1b1\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\ud83d\udd25 Bella wants to arrange 96 roses into vases. She wants to put the same number of roses in each vase without any roses left over.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-a29925ac4439725c383f2721b6a68f55\" style=\"color:#b00012\"> How many vases could Bella use?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2<\/li>\n\n\n\n<li>10<\/li>\n\n\n\n<li>5<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Which number evenly divides 96? Try each number.<\/p>\n\n\n\n<p>First try the &#8220;divisible by 2&#8221; rule on 96.<\/p>\n\n\n\n<p>Look at the ones digit:<\/p>\n\n\n\n<p>9<span style=\"text-decoration: underline;\">6<\/span><\/p>\n\n\n\n<p>The ones digit is 6.&nbsp;<br>The rule says that 96 is divisible by 2.<\/p>\n\n\n\n<p>Next try the &#8220;divisible by 10&#8221; rule on 96.<\/p>\n\n\n\n<p>Look at the ones digit:<\/p>\n\n\n\n<p>9<span style=\"text-decoration: underline;\">6<\/span><\/p>\n\n\n\n<p>The ones digit is 6.&nbsp;<br>The rule says that 96 is not divisible by 10.<\/p>\n\n\n\n<p>Finally, try the &#8220;divisible by 5&#8221; rule on 96.<\/p>\n\n\n\n<p>Look at the ones digit:<\/p>\n\n\n\n<p>9<span style=\"text-decoration: underline;\">6<\/span><\/p>\n\n\n\n<p>The ones digit is 6.&nbsp;<br>The rule says that 96 is not divisible by 5.<\/p>\n\n\n\n<p>96 is divisible by 2.&nbsp;Bella could use 2 vases.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s practice!<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/102337\/168\/546\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-236.png\" alt=\"\" class=\"wp-image-7014\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-236.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-236-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-236-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/102336\/872\/339\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-231.png\" alt=\"\" class=\"wp-image-7015\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-231.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-231-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-231-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Divisibility rules: word problems key notes: What is Divisibility? \ud83d\udd39 A number is divisible by another if it can be divided without any remainder.\ud83d\udfe2 Example: 12 \u00f7 3 = 4 \u2705 (12 is divisible by 3) Divisibility Rules to Remember: By 2\ufe0f\u20e3: Last digit is 0, 2, 4, 6, or 8. By 3\ufe0f\u20e3: Sum of<a class=\"more-link\" href=\"https:\/\/4thclass.deltapublications.in\/index.php\/e-12-divisibility-rules-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;E.12 Divisibility rules: word problems&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-138","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/138","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=138"}],"version-history":[{"count":29,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/138\/revisions"}],"predecessor-version":[{"id":16756,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/138\/revisions\/16756"}],"wp:attachment":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=138"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}