{"id":26726,"date":"2025-06-19T17:25:21","date_gmt":"2025-06-19T17:25:21","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=26726"},"modified":"2025-06-19T17:25:23","modified_gmt":"2025-06-19T17:25:23","slug":"which-expression-represents-the-prime-factorization-of-129","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/which-expression-represents-the-prime-factorization-of-129\/","title":{"rendered":"Which expression represents the prime factorization of 129"},"content":{"rendered":"\n<p>Which expression represents the prime factorization of 129? A. 2 x 43 B. 3 x 43 C. 2 x 3 x 43 D. 3 x 3 x 43<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-light-green-cyan-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answer is: <strong>B. 3 \u00d7 43<\/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 find the <strong>prime factorization<\/strong> of 129, we need to break it down into its <strong>smallest prime number factors<\/strong>.<\/p>\n\n\n\n<p>Start by testing the smallest prime numbers:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Is 129 divisible by 2?<\/strong><br>No. 129 is an odd number, so it is not divisible by 2.<\/li>\n\n\n\n<li><strong>Is 129 divisible by 3?<\/strong><br>To check this, add the digits:<br>1 + 2 + 9 = 12<br>Since 12 is divisible by 3, <strong>129 is divisible by 3<\/strong>.<br>Now divide 129 by 3:<br>129 \u00f7 3 = <strong>43<\/strong><\/li>\n\n\n\n<li><strong>Is 43 a prime number?<\/strong><br>Yes. 43 is only divisible by 1 and itself. It is a <strong>prime number<\/strong>.<\/li>\n<\/ol>\n\n\n\n<p>So, we can write:<br><strong>129 = 3 \u00d7 43<\/strong><\/p>\n\n\n\n<p>This is the <strong>prime factorization<\/strong> of 129. There are no other prime factors because both 3 and 43 are primes. You cannot factor them further.<\/p>\n\n\n\n<p>Let\u2019s briefly check the other choices to confirm why they are incorrect:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>A. 2 \u00d7 43<\/strong><br>This equals 86, not 129.<\/li>\n\n\n\n<li><strong>C. 2 \u00d7 3 \u00d7 43<\/strong><br>This equals 2 \u00d7 129 = 258, which is too large.<\/li>\n\n\n\n<li><strong>D. 3 \u00d7 3 \u00d7 43<\/strong><br>This equals 9 \u00d7 43 = 387, also too large.<\/li>\n<\/ul>\n\n\n\n<p>Only <strong>3 \u00d7 43<\/strong> equals 129 exactly, and both numbers are prime. Therefore, the correct and complete <strong>prime factorization of 129 is 3 \u00d7 43<\/strong>, which matches <strong>option B<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-118.jpeg\" alt=\"\" class=\"wp-image-26727\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-118.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-118-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-118-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Which expression represents the prime factorization of 129? A. 2 x 43 B. 3 x 43 C. 2 x 3 x 43 D. 3 x 3 x 43 The Correct Answer and Explanation is: The correct answer is: B. 3 \u00d7 43 Explanation: To find the prime factorization of 129, we need to break it [&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-26726","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26726","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=26726"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26726\/revisions"}],"predecessor-version":[{"id":26728,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26726\/revisions\/26728"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=26726"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=26726"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=26726"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}