{"id":16955,"date":"2026-05-02T01:11:27","date_gmt":"2026-05-01T19:11:27","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/highest-prime-power-in-factorial-8\/"},"modified":"2026-05-02T01:11:27","modified_gmt":"2026-05-01T19:11:27","slug":"highest-prime-power-in-factorial-8","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/highest-prime-power-in-factorial-8\/","title":{"rendered":"Highest Prime Power In Factorial 8"},"content":{"rendered":"<p>Find the highest power of 3 that divides 144!.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>73<\/li>\n<li>35<\/li>\n<li>69<\/li>\n<li>70<\/li>\n<li>71<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2489,2697,2612],"subject":[1425],"education_level":[1896],"class_list":["post-16955","mcq","type-mcq","status-publish","hentry","topic-arithmetic-number-system","topic-factorial","topic-prime-factors","subject-mathematics","education_level-hsc"],"mcq_note":"Use Legendre's formula: floor(144\/3) + floor(144\/9) + ... = 70.","mcq_options":[{"right":"no","answer":"73"},{"right":"no","answer":"35"},{"right":"no","answer":"69"},{"right":"yes","answer":"70"},{"right":"no","answer":"71"}],"multi_answers":"no","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2489,"title":"Arithmetic &amp; Number System","slug":"arithmetic-number-system"},{"id":2697,"title":"Factorial","slug":"factorial"},{"id":2612,"title":"Prime Factors","slug":"prime-factors"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/16955","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/comments?post=16955"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=16955"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=16955"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=16955"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=16955"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}