{"id":35515,"date":"2025-06-24T11:51:39","date_gmt":"2025-06-24T11:51:39","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=35515"},"modified":"2025-06-24T11:51:40","modified_gmt":"2025-06-24T11:51:40","slug":"write-the-factors-of-91-and-find-out-whether-it-is-a-prime-or-composite-number","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/write-the-factors-of-91-and-find-out-whether-it-is-a-prime-or-composite-number\/","title":{"rendered":"Write the factors of 91 and find out whether it is a prime or composite number"},"content":{"rendered":"\n<p>Write the factors of 91 and find out whether it is a prime or composite number.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Answer:<\/strong><\/p>\n\n\n\n<p>The factors of <strong>91<\/strong> are <strong>1, 7, 13, and 91<\/strong>.<br>Therefore, <strong>91 is a composite number<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>To determine whether 91 is a prime or composite number, start by identifying its factors. A <strong>factor<\/strong> is any whole number that divides another number without leaving a remainder. Every number has at least two factors: 1 and itself. If those are the only two factors, the number is <strong>prime<\/strong>. If the number has additional factors, it is <strong>composite<\/strong>.<\/p>\n\n\n\n<p>Begin by checking for divisibility:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>91 is <strong>not even<\/strong>, so it is not divisible by 2.<\/li>\n\n\n\n<li>The <strong>sum of its digits<\/strong> is 9 + 1 = 10, which is not divisible by 3, so it is not divisible by 3.<\/li>\n\n\n\n<li>It does not end in 0 or 5, so it is not divisible by 5.<\/li>\n\n\n\n<li>Dividing 91 by <strong>7<\/strong>, the result is <strong>13<\/strong>, and 13 is a whole number. That shows both 7 and 13 divide 91 exactly.<\/li>\n<\/ul>\n\n\n\n<p>This means 91 has <strong>four distinct factors<\/strong>: 1, 7, 13, and 91.<\/p>\n\n\n\n<p>Since it has more than two factors, 91 is <strong>not a prime number<\/strong>. It is classified as a <strong>composite number<\/strong>, which means it is made by multiplying smaller natural numbers.<\/p>\n\n\n\n<p>In fact, 91 = 7 \u00d7 13, both of which are <strong>prime numbers<\/strong>. When two prime numbers are multiplied together, the result is always composite, unless one of them is 1, which is neither prime nor composite.<\/p>\n\n\n\n<p>Understanding whether a number is prime or composite is important in number theory, especially in fields like cryptography, algebra, and computer science. Knowing the factors of a number helps in simplifying fractions, finding least common multiples, and solving equations. Therefore, recognizing that 91 is composite helps improve number sense and mathematical reasoning.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write the factors of 91 and find out whether it is a prime or composite number. The correct answer and explanation is: Answer: The factors of 91 are 1, 7, 13, and 91.Therefore, 91 is a composite number. Explanation: To determine whether 91 is a prime or composite number, start by identifying its factors. A [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-35515","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/35515","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=35515"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/35515\/revisions"}],"predecessor-version":[{"id":35516,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/35515\/revisions\/35516"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=35515"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=35515"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=35515"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}