{"id":58,"date":"2022-04-08T04:29:18","date_gmt":"2022-04-08T04:29:18","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=58"},"modified":"2025-11-19T10:42:09","modified_gmt":"2025-11-19T10:42:09","slug":"d-1-prime-or-composite","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/d-1-prime-or-composite\/","title":{"rendered":"D.1 Prime or composite"},"content":{"rendered":"\n<div class=\"wp-block-group has-normal-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong>Prime or composite<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/08\/Class-7-A.1-Prime-or-composite.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-ac2bc047fac346cd34a46d2a76287634\" style=\"color:#74008b;text-transform:capitalize\">key notes:<\/p>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Prime Numbers:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Definition<\/strong>: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Examples: 2, 3, 5, 7, 11, 13, 17, etc.<\/strong><\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Characteristics:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Prime numbers have exactly two distinct positive divisors: 1 and the number itself.<\/li>\n\n\n\n<li>They cannot be formed by multiplying two smaller natural numbers.<\/li>\n\n\n\n<li>The number 2 is the only even prime number.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"434\" height=\"450\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-6.png\" alt=\"\" class=\"wp-image-13084\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-6.png 434w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-6-289x300.png 289w\" sizes=\"auto, (max-width: 434px) 100vw, 434px\" \/><\/figure><\/div>\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>\ud83e\udde8<strong>Composite Numbers:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Definition:<\/strong> A composite number is a natural number greater than 1 that has more than two positive divisors.<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Examples:<\/strong> 4, 6, 8, 9, 10, 12, 14, etc.<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Characteristics:<\/strong><\/p>\n\n\n\n<p class=\"has-normal-font-size\">Composite numbers have more than two distinct positive divisors.<\/p>\n\n\n\n<p class=\"has-normal-font-size\">They can be formed by multiplying two or more smaller natural numbers.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"520\" height=\"530\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-7.png\" alt=\"\" class=\"wp-image-13086\" style=\"width:339px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-7.png 520w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-7-294x300.png 294w\" sizes=\"auto, (max-width: 520px) 100vw, 520px\" \/><\/figure><\/div>\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>\ud83e\udde8Identifying Prime and Composite Numbers:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong><strong>prime numbers:<\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading has-primary-color has-text-color has-link-color has-normal-font-size wp-elements-d8e03d7a7d101eb835df899a03cc29f2\"><strong>How to Find Prime Numbers?<\/strong><\/h2>\n\n\n\n<p>The following two methods will help you to find whether the given number is a prime or not.<\/p>\n\n\n\n<p><br><strong>Method 1:<\/strong><br>We know that 2 is the only even prime number. And only two consecutive natural numbers which are prime are 2 and 3. Apart from those, every prime number can be written in the form of 6n + 1 or 6n \u2013 1 (except the multiples of prime numbers, i.e. 2, 3, 5, 7, 11), where n is a natural number.<br>For example:<br>6(1) \u2013 1 = 5<br>6(1) + 1 = 7<br>6(2) \u2013 1 = 11<br>6(2) + 1 = 13<br>6(3) \u2013 1 = 17<br>6(3) + 1 = 19<br>6(4) \u2013 1 = 23<br>6(4) + 1 = 25 (multiple of 5)<br>\u2026<br><strong>Method 2:<\/strong><br>To know the prime numbers greater than 40, the below formula can be used.<br>n<sup>2<\/sup>&nbsp;+ n + 41, where n = 0, 1, 2, \u2026.., 39<br>For example:<br>(0)<sup>2<\/sup>&nbsp;+ 0 + 0 = 41<br>(1)<sup>2<\/sup>&nbsp;+ 1 + 41 = 43<br>(2)<sup>2<\/sup>&nbsp;+ 2 + 41 = 47<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Composite numbers<\/strong> :<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading has-primary-color has-text-color has-link-color has-normal-font-size wp-elements-862969219bd3942e585a8c864cebedcb\"><strong>How to Find the Composite Number?<\/strong><\/h2>\n\n\n\n<p>The procedures to find whether a given number is prime or composite:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Find all the factors of the positive integer<\/li>\n\n\n\n<li>A number is said to be prime if it has only two factors, 1 and itself<\/li>\n\n\n\n<li>If the number has more than two factors, then it is a composite<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Example: <\/strong><br><br>Find if 14 is a composite number.<br>&nbsp;Let us find the factors of 14.<br>14\u00f71 = 14<br>14\u00f72 = 7<br>14\u00f77 = 2<br>14\u00f714 = 1<br>As we can see, the factors of 14 are 1,2,7 and 14, so it is a composite number.<\/td><\/tr><\/tbody><\/table><\/figure>\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-normal-font-size\" style=\"background-color:#a5eed0\"><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 has-normal-font-size\"><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-53d5e25864ee5332c13e8f947ceca873\" style=\"color:#b00012\">\ud83d\udd14 Which number is prime?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2<\/li>\n\n\n\n<li>6<\/li>\n\n\n\n<li>14<\/li>\n\n\n\n<li>1<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>The factors of 2 are 1 and 2. Since the only factors of 2 are 1 and itself, 2 is prime.<\/p>\n\n\n\n<p>The factors of 6 are 1, 2, 3, and 6. Since 6 has more factors than just 1 and itself, 6 is not prime.<\/p>\n\n\n\n<p>The factors of 14 are 1, 2, 7, and 14. Since 14 has more factors than just 1 and itself, 14 is not prime.<\/p>\n\n\n\n<p>The only factor of 1 is 1. 1 is special because it is neither prime nor composite. So, 1 is not prime.<\/p>\n\n\n\n<p>The prime number is 2.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#f0eaa7\"><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 has-normal-font-size\"><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-53d5e25864ee5332c13e8f947ceca873\" style=\"color:#b00012\">\ud83d\udd14 Which number is prime?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>14<\/li>\n\n\n\n<li>8<\/li>\n\n\n\n<li>9<\/li>\n\n\n\n<li>17<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The factors of 14 are 1, 2, 7, and 14. Since 14 has more factors than just 1 and itself, 14 is not prime.<\/li>\n\n\n\n<li>The factors of 8 are 1, 2, 4, and 8. Since 8 has more factors than just 1 and itself, 8 is not prime.<\/li>\n\n\n\n<li>The factors of 9 are 1, 3, and 9. Since 9 has more factors than just 1 and itself, 9 is not prime.<\/li>\n\n\n\n<li>The factors of 17 are 1 and 17. Since the only factors of 17 are 1 and itself, 17 is prime.<\/li>\n\n\n\n<li>The prime number is 17.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#e4b5f3\"><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 has-normal-font-size\"><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-29076eb3db78d6244ed40cf3027bca11\" style=\"color:#b00012\">Select all the numbers that are prime.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>19<\/li>\n\n\n\n<li>3<\/li>\n\n\n\n<li>7<\/li>\n\n\n\n<li>11<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The factors of 19 are 1 and 19. Since the only factors of 19 are 1 and itself, 19 is prime.<\/li>\n\n\n\n<li>The factors of 3 are 1 and 3. Since the only factors of 3 are 1 and itself, 3 is prime.<\/li>\n\n\n\n<li>The factors of 7 are 1 and 7. Since the only factors of 7 are 1 and itself, 7 is prime.<\/li>\n\n\n\n<li>The factors of 11 are 1 and 11. Since the only factors of 11 are 1 and itself, 11 is prime.<\/li>\n\n\n\n<li>The prime numbers are 19, 3, 7, and 11.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/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\/76282\/309\/310\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-76.png\" alt=\"\" class=\"wp-image-6222\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-76.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-76-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-76-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-76-400x400.png 400w\" 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\/76658\/260\/666\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-77.png\" alt=\"\" class=\"wp-image-6223\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-77.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-77-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-77-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-77-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Prime or composite key notes: Prime Numbers: Definition: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Examples: 2, 3, 5, 7, 11, 13, 17, etc. Characteristics: \ud83e\udde8Composite Numbers: Definition: A composite number is a natural number greater than 1 that has more than<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/d-1-prime-or-composite\/\">Continue reading <span class=\"screen-reader-text\">&#8220;D.1 Prime or composite&#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,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-58","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/58","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=58"}],"version-history":[{"count":33,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/58\/revisions"}],"predecessor-version":[{"id":17355,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/58\/revisions\/17355"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=58"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}