{"id":136,"date":"2022-04-12T04:57:35","date_gmt":"2022-04-12T04:57:35","guid":{"rendered":"http:\/\/4thclass.deltapublications.in\/?page_id=136"},"modified":"2025-11-18T10:09:59","modified_gmt":"2025-11-18T10:09:59","slug":"e-11-divisibility-rules","status":"publish","type":"page","link":"https:\/\/4thclass.deltapublications.in\/index.php\/e-11-divisibility-rules\/","title":{"rendered":"E.11 Divisibility rules"},"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<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-c94a149b099fb3f23f355c7448aa9d47\" style=\"color:#74008b\"><strong>key notes:<\/strong><\/p>\n\n\n\n<h1 class=\"wp-block-heading has-large-font-size\"><strong>\u2728 Divisibility Rules \u2728<\/strong><\/h1>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">1\ufe0f\u20e3 Divisible by 2 \ud83d\udfe2<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A number is divisible by <strong>2<\/strong> if its <strong>last digit is 0, 2, 4, 6, or 8<\/strong>.<\/li>\n\n\n\n<li>Example: 24 \u2705 (last digit 4), 37 \u274c (last digit 7)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">2\ufe0f\u20e3 Divisible by 3 \ud83d\udd35<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A number is divisible by <strong>3<\/strong> if the <strong>sum of its digits is divisible by 3<\/strong>.<\/li>\n\n\n\n<li>Example: 123 \u2192 1 + 2 + 3 = 6 \u2705 (6 \u00f7 3 = 2)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">3\ufe0f\u20e3 Divisible by 4 \ud83d\udfe3<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A number is divisible by <strong>4<\/strong> if its <strong>last two digits form a number divisible by 4<\/strong>.<\/li>\n\n\n\n<li>Example: 312 \u2705 (last two digits 12, 12 \u00f7 4 = 3), 101 \u274c (last two digits 01)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">4\ufe0f\u20e3 Divisible by 5 \ud83d\udfe1<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A number is divisible by <strong>5<\/strong> if its <strong>last digit is 0 or 5<\/strong>.<\/li>\n\n\n\n<li>Example: 45 \u2705, 72 \u274c<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">5\ufe0f\u20e3 Divisible by 6 \ud83d\udd3a<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A number is divisible by <strong>6<\/strong> if it is <strong>divisible by both 2 and 3<\/strong>.<\/li>\n\n\n\n<li>Example: 24 \u2705 (even and sum of digits 6), 25 \u274c<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">6\ufe0f\u20e3 Divisible by 9 \ud83d\udd34<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A number is divisible by <strong>9<\/strong> if the <strong>sum of its digits is divisible by 9<\/strong>.<\/li>\n\n\n\n<li>Example: 729 \u2192 7 + 2 + 9 = 18 \u2705 (18 \u00f7 9 = 2)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">7\ufe0f\u20e3 Divisible by 10 \u26aa<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A number is divisible by <strong>10<\/strong> if its <strong>last digit is 0<\/strong>.<\/li>\n\n\n\n<li>Example: 50 \u2705, 53 \u274c<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"has-large-font-size\">\ud83d\udca1 <strong>Tip for Students:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Always <strong>look at the last digit<\/strong> for 2, 5, 10 rules.<\/li>\n\n\n\n<li><strong>Add all digits<\/strong> for 3 and 9 rules.<\/li>\n\n\n\n<li><strong>Check last two digits<\/strong> for 4.<\/li>\n\n\n\n<li>Combine rules for numbers like 6!<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f0b9b9\"><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 class=\"has-text-color has-link-color wp-elements-d351536c243038e54e9ebb9a66318faa\" style=\"color:#b00012\">\ud83d\udd25 Is 36,271 divisible by 9?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Try the &#8220;divisible by 9&#8221; rule on 36,271.<\/p>\n\n\n\n<p>Find the sum of the digits:<\/p>\n\n\n\n<p>3 + 6 + 2 + 7 + 1 = 19<\/p>\n\n\n\n<p>19 is not divisible by 9.&nbsp;<br>The rule says that 36,271 is not divisible by 9.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#c8f3d7\"><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 class=\"has-text-color has-link-color wp-elements-5bb6aff0ea0d72a3413e0f44540c19af\" style=\"color:#b00012\">\ud83d\udd25 Is 664,855 divisible by 10?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Try the &#8220;divisible by 10&#8221; rule on 664,855.<\/p>\n\n\n\n<p>Look at the one digit:<\/p>\n\n\n\n<p>664,85<span style=\"text-decoration: underline;\">5<\/span><\/p>\n\n\n\n<p>The one digit is 5.&nbsp;<br>The rule says that 664,855 is not divisible by 10.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#e8b4db\"><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 class=\"has-text-color has-link-color wp-elements-87ac2836387f6126c2a2abce8c7fc596\" style=\"color:#b00012\">\ud83d\udd25 Is 667,124 divisible by 2?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Try the &#8220;divisible by 2&#8221; rule on 667,124.<\/p>\n\n\n\n<p>Look at the ones digit:<\/p>\n\n\n\n<p>667,12<span style=\"text-decoration: underline;\">4<\/span><\/p>\n\n\n\n<p>The ones digit is 4.&nbsp;<br>The rule says that 667,124 is divisible by 2.<\/p>\n<\/div><\/div>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-large-font-size\" id=\"yui_3_18_1_1_1669351117722_1818\" style=\"color:#d90000\">Let&#8217;s practice!<\/h4>\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\/79547\/562\/695\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-237.png\" alt=\"\" class=\"wp-image-7017\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-237.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-237-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-237-150x150.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\/30344\/833\/774\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-232.png\" alt=\"\" class=\"wp-image-7018\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-232.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-232-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-232-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Divisibility rules key notes: \u2728 Divisibility Rules \u2728 1\ufe0f\u20e3 Divisible by 2 \ud83d\udfe2 2\ufe0f\u20e3 Divisible by 3 \ud83d\udd35 3\ufe0f\u20e3 Divisible by 4 \ud83d\udfe3 4\ufe0f\u20e3 Divisible by 5 \ud83d\udfe1 5\ufe0f\u20e3 Divisible by 6 \ud83d\udd3a 6\ufe0f\u20e3 Divisible by 9 \ud83d\udd34 7\ufe0f\u20e3 Divisible by 10 \u26aa \ud83d\udca1 Tip for Students: Learn with an example \ud83d\udd25 Is 36,271 divisible<a class=\"more-link\" href=\"https:\/\/4thclass.deltapublications.in\/index.php\/e-11-divisibility-rules\/\">Continue reading <span class=\"screen-reader-text\">&#8220;E.11 Divisibility rules&#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-136","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/136","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=136"}],"version-history":[{"count":39,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/136\/revisions"}],"predecessor-version":[{"id":16752,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/136\/revisions\/16752"}],"wp:attachment":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=136"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}