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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## If n is the product of the integers from 1 to 8... tagged by: swerve ##### This topic has 1 expert reply and 0 member replies ### Top Member ## If n is the product of the integers from 1 to 8... If n is the product of the integers from 1 to 8, inclusive, how many different prime factors greater than 1 does n have? A) Four B) Five C) Six D) Seven E) Eight The OA is A. Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer. Thanks. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Top Reply Quote: If n is the product of the integers from 1 to 8, inclusive, how many different prime factors greater than 1 does n have? A) Four B) Five C) Six D) Seven E) Eight The OA is A. Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer. Thanks. Hi Swerve, Let's take a look at your question. n is the product of the integers from 1 to 8, inclusive. $$n=1\times2\times3\times4\times5\times6\times7\times8$$ $$n=1\times2\times3\times\left(2\times2\right)\times5\times\left(2\times3\right)\times7\times\left(2\times2\times2\right)$$ $$n=1\times2\times2\times2\times2\times2\times2\times2\times3\times3\times5\times7$$ We can see that the product n has four different prime factors, 2, 3, 5, 7. Therefore, Option A is correct. Hope it helps. I am available if you'd like any follow up. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. • FREE GMAT Exam Know how you'd score today for$0

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