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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 ## Quant - Problem Solving tagged by: shreeja99 ##### This topic has 1 expert reply and 1 member reply ## Quant - Problem Solving ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult If x is the smallest positive integer that is not prime and not a factor of 50!, what is the sum of the factors of x? A. 51 B. 54 C. 72 D. 162 E. 50!+2 ### Top Member Master | Next Rank: 500 Posts Joined 15 Oct 2009 Posted: 328 messages Upvotes: 27 shreeja99 wrote: If x is the smallest positive integer that is not prime and not a factor of 50!, what is the sum of the factors of x? A. 51 B. 54 C. 72 D. 162 E. 50!+2 https://www.beatthegmat.com/if-x-is-the-smallest-positive-integer-that-is-not-prime-t268581.html ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2456 messages Followed by: 18 members Upvotes: 43 shreeja99 wrote: If x is the smallest positive integer that is not prime and not a factor of 50!, what is the sum of the factors of x? A. 51 B. 54 C. 72 D. 162 E. 50!+2 The smallest positive integer that is not a factor of 50! is 53 since 53 is a prime. However, since we donâ€™t want the number to be a prime, we can multiply 53 by 2 and obtain 106, and 106 will be the smallest positive integer that is not prime and not a factor of 50!. The sum of the factors of 106 is 106 + 1 + 53 + 2 = 162. Answer: D _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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