{"id":85,"date":"2022-04-12T06:02:23","date_gmt":"2022-04-12T06:02:23","guid":{"rendered":"http:\/\/5thclass.deltapublications.in\/?page_id=85"},"modified":"2024-09-14T07:04:31","modified_gmt":"2024-09-14T07:04:31","slug":"d-3-divisibility-rules","status":"publish","type":"page","link":"https:\/\/5thclass.deltapublications.in\/index.php\/d-3-divisibility-rules\/","title":{"rendered":"D.3 Divisibility rules"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Divisibility rules<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Class-7-A.4-__Divisibility-rules__.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\"><strong>Key Notes:<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-6bc4496d2549e8194a562cf7a9c6e641\" style=\"color:#000060\"><strong>Divisibility by 2<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li class=\"has-large-font-size\"><strong>Rule<\/strong>: A number is divisible by 2 if its last digit is 0, 2, 4, 6, or 8.<\/li>\n\n\n\n<li><strong>Example<\/strong>: 24 is divisible by 2 because it ends in 4.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-83a2d9fb671deef51faf2afcd1390565\" style=\"color:#000060\"><strong>Divisibility by 3<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Rule<\/strong>: A number is divisible by 3 if the sum of its digits is divisible by 3.<\/li>\n\n\n\n<li><strong>Example<\/strong>: For 123, the sum of the digits is 1 + 2 + 3 = 6, which is divisible by 3.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-b11a516b954f6461c9e48c1712e07d6e\" style=\"color:#000060\"><strong>Divisibility by 4<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Rule<\/strong>: A number is divisible by 4 if the number formed by the last two digits is divisible by 4.<\/li>\n\n\n\n<li><strong>Example<\/strong>: For 312, the last two digits are 12, and 12 is divisible by 4.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-aedc381adbf2018aa7966fd7be382221\" style=\"color:#000060\"><strong>Divisibility by 5<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Rule<\/strong>: A number is divisible by 5 if its last digit is 0 or 5.<\/li>\n\n\n\n<li><strong>Example<\/strong>: 45 is divisible by 5 because it ends in 5.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-7bba1112048bfacaf3af80f38677bb1b\" style=\"color:#000060\"><strong>Divisibility by 6<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Rule<\/strong>: A number is divisible by 6 if it is divisible by both 2 and 3.<\/li>\n\n\n\n<li><strong>Example<\/strong>: 18 is divisible by 6 because it\u2019s even (divisible by 2) and the sum of digits (1+8=9) is divisible by 3.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-06057bfddd27f2d759b03a46d7a366c5\" style=\"color:#000060\"><strong>Divisibility by 7<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Rule<\/strong>: Double the last digit and subtract it from the rest of the number. If the result is divisible by 7 (including 0), then the original number is divisible by 7.<\/li>\n\n\n\n<li><strong>Example<\/strong>: For 203, double the last digit (6), subtract from the rest (20 &#8211; 6 = 14), and since 14 is divisible by 7, so is 203.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-767f93864713cc5a3971467ea3486107\" style=\"color:#000060\"><strong>Divisibility by 8<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Rule<\/strong>: A number is divisible by 8 if the number formed by the last three digits is divisible by 8.<\/li>\n\n\n\n<li><strong>Example<\/strong>: For 1,856, the last three digits are 856, and 856 is divisible by 8.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-8d17f018988f481cb709912cb722ae5b\" style=\"color:#000060\"><strong>Divisibility by 9<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Rule<\/strong>: A number is divisible by 9 if the sum of its digits is divisible by 9.<\/li>\n\n\n\n<li><strong>Example<\/strong>: For 729, the sum of the digits is 7 + 2 + 9 = 18, and 18 is divisible by 9.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-deb19a3fe1ad8c99b4b168880ae4f7c6\" style=\"color:#000060\"><strong>Divisibility by 10<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Rule<\/strong>: A number is divisible by 10 if its last digit is 0.<\/li>\n\n\n\n<li><strong>Example<\/strong>: 50 is divisible by 10 because it ends in 0.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-30a7ba95555d3e5a208ca2f3c15b35c8\" style=\"color:#000060\"><strong>Divisibility by 11<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Rule<\/strong>: A number is divisible by 11 if the difference between the sum of the digits in odd positions and the sum of the digits in even positions is divisible by 11.<\/li>\n\n\n\n<li><strong>Example<\/strong>: For 2728, sum of digits in odd positions (2 + 2 = 4) and sum of digits in even positions (7 + 8 = 15), difference is |4 &#8211; 15| = 11, which is divisible by 11.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-c56140a6b4df09a624c42aaf66eaeae9\" style=\"color:#000060\"><strong>Divisibility by 12<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Rule<\/strong>: A number is divisible by 12 if it is divisible by both 3 and 4.<\/li>\n\n\n\n<li><strong>Example<\/strong>: For 144, since 144 is divisible by 3 (sum of digits is 9) and 4 (last two digits 44 are divisible by 4), it is divisible by 12.<\/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-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-9c5e95a98f6115b432a5f0bfcbc2378b\" style=\"background-color:#a3e0fb\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-712c4b36c65628d7833ccd12db818b35\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#d90000\">Is 77,619 divisible by 6?<\/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 6&#8221; rule on 77,619.<\/p>\n\n\n\n<p>First check if 77,619 is divisible by 2.<\/p>\n\n\n\n<p>Look at the ones digit:<\/p>\n\n\n\n<p>77,61<strong>9<\/strong><\/p>\n\n\n\n<p>The ones digit is 9.&nbsp;<\/p>\n\n\n\n<p>So, the number is not divisible by 2.<\/p>\n\n\n\n<p>The rule says that 77,619 is not divisible by 6.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-dd56de390bf1796e604e95ff6fb0c865\" style=\"background-color:#89f9bd\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-29bb6121aa0ae2a7ba4bc2ed32fea217\"><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-81bf044c5862e7a162603f3ff0327d90\" style=\"color:#b00012\"><strong> \ud83d\ude00  Is 37,770,710 divisible by 10?<\/strong><\/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 37,770,710.<\/p>\n\n\n\n<p>Look at the ones digit:<\/p>\n\n\n\n<p>37,770,710<\/p>\n\n\n\n<p>The ones digit is 0.&nbsp;<\/p>\n\n\n\n<p>The rule says that 37,770,710 is 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:#a4a5fa\"><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\" style=\"color:#d90000\">Is 120 divisible by 6?<\/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 6&#8221; rule on 120.<\/p>\n\n\n\n<p>First check if 120 is divisible by 2.<\/p>\n\n\n\n<p>Look at the ones digit:<\/p>\n\n\n\n<p>12<strong>0<\/strong><\/p>\n\n\n\n<p>The ones digit is 0.&nbsp;<\/p>\n\n\n\n<p>So, the number is divisible by 2.<\/p>\n\n\n\n<p>Now check if 120 is divisible by 3.<\/p>\n\n\n\n<p>Find the sum of the digits:<\/p>\n\n\n\n<p><strong>1 + 2 + 0 = 3<\/strong><\/p>\n\n\n\n<p>3 is divisible by 3.&nbsp;So, the number is divisible by 3.<br>The rule says that 120 is divisible by 6.<\/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\/75638\/852\/913\"><img decoding=\"async\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-3.png\" alt=\"\" class=\"wp-image-6473\"\/><\/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\/77090\/084\/117\"><img decoding=\"async\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-3.png\" alt=\"\" class=\"wp-image-6475\"\/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Divisibility rules Key Notes: Divisibility by 2 Divisibility by 3 Divisibility by 4 Divisibility by 5 Divisibility by 6 Divisibility by 7 Divisibility by 8 Divisibility by 9 Divisibility by 10 Divisibility by 11 Divisibility by 12 Learn with an example Is 77,619 divisible by 6? Try the &#8220;divisible by 6&#8221; rule on 77,619. First<a class=\"more-link\" href=\"https:\/\/5thclass.deltapublications.in\/index.php\/d-3-divisibility-rules\/\">Continue reading <span class=\"screen-reader-text\">&#8220;D.3 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-85","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/85","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=85"}],"version-history":[{"count":21,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/85\/revisions"}],"predecessor-version":[{"id":13369,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/85\/revisions\/13369"}],"wp:attachment":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=85"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}