{"id":238000,"date":"2025-06-17T19:15:44","date_gmt":"2025-06-17T19:15:44","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=238000"},"modified":"2025-06-17T19:15:46","modified_gmt":"2025-06-17T19:15:46","slug":"are-the-following-number-prime-or-composite","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/17\/are-the-following-number-prime-or-composite\/","title":{"rendered":"Are the following number prime or composite"},"content":{"rendered":"\n<p>Are the following number prime or composite. show by finding the factor (a ) 48<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Answer:<\/strong><br>The number <strong>48<\/strong> is <strong>composite<\/strong>.<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>To determine whether a number is prime or composite, we must examine how many positive factors it has. A <strong>prime number<\/strong> has exactly <strong>two<\/strong> distinct positive factors: 1 and itself. A <strong>composite number<\/strong> has <strong>more than two<\/strong> positive factors.<\/p>\n\n\n\n<p>Let\u2019s examine the number <strong>48<\/strong>.<\/p>\n\n\n\n<p>Start by finding its factors. A factor is a number that divides evenly into another number. We look for all whole numbers that divide 48 without leaving a remainder:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1 \u00d7 48 = 48<\/li>\n\n\n\n<li>2 \u00d7 24 = 48<\/li>\n\n\n\n<li>3 \u00d7 16 = 48<\/li>\n\n\n\n<li>4 \u00d7 12 = 48<\/li>\n\n\n\n<li>6 \u00d7 8 = 48<\/li>\n<\/ul>\n\n\n\n<p>So the positive factors of 48 are:<br><strong>1, 2, 3, 4, 6, 8, 12, 16, 24, 48<\/strong><\/p>\n\n\n\n<p>Clearly, 48 has more than two factors. That means it is not a prime number. Therefore, <strong>48 is a composite number<\/strong>.<\/p>\n\n\n\n<p>Another way to show this is by breaking 48 into its prime factorization. This involves writing it as a product of only prime numbers:<\/p>\n\n\n\n<p>48 \u00f7 2 = 24<br>24 \u00f7 2 = 12<br>12 \u00f7 2 = 6<br>6 \u00f7 2 = 3<br>3 \u00f7 3 = 1<\/p>\n\n\n\n<p>So, the prime factorization of 48 is:<br><strong>2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 3<\/strong> or <strong>2\u2074 \u00d7 3<\/strong><\/p>\n\n\n\n<p>Again, since 48 is divisible by 2 and 3 (both smaller prime numbers), that confirms it is not a prime number.<\/p>\n\n\n\n<p>In summary, a prime number has only two factors. Since 48 has many factors and can be divided evenly by numbers other than 1 and 48, it is a <strong>composite number<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-963.jpeg\" alt=\"\" class=\"wp-image-238001\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Are the following number prime or composite. show by finding the factor (a ) 48 The Correct Answer and Explanation is: Answer:The number 48 is composite. Explanation: To determine whether a number is prime or composite, we must examine how many positive factors it has. A prime number has exactly two distinct positive factors: 1 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-238000","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/238000","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=238000"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/238000\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=238000"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=238000"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=238000"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}