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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 ## For every even positive integer m, f(m) represents the tagged by: AAPL ##### This topic has 2 expert replies and 0 member replies ### Top Member ## For every even positive integer m, f(m) represents the ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Official Guide For every even positive integer $$m$$, $$f(m)$$ represents the product of all even integers from 2 to m, inclusive. For example, $$f(12)=2*4*6*8*10*12$$. What is the greatest prime factor of $$f(24)$$? A. 23 B. 19 C. 17 D. 13 E. 11 OA E ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12989 messages Followed by: 1249 members Upvotes: 5254 GMAT Score: 770 Top Reply AAPL wrote: Official Guide For every even positive integer $$m$$, $$f(m)$$ represents the product of all even integers from 2 to m, inclusive. For example, $$f(12)=2*4*6*8*10*12$$. What is the greatest prime factor of $$f(24)$$? A. 23 B. 19 C. 17 D. 13 E. 11 OA E f(24) = 2 x 4 x 6 x 8 x 10 x 12 x 14 x 16 x 18 x 20 x 22 x 24 Rewrite as prime factorization: f(24) = 2 x (2)(2) x (2)(3) x (2)(2)(2) x (2)(5) x (2)(2)(3) x (2)(7) x (2)(2)(2)(2) x (2)(3)(3) x (2)(2)(5) x (2)(11) x (2)(2)(2)(3) Answer: E ASIDE: As you can see from the answer choice, I really didn't need to find the prime factorization of EVERY value. Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2811 messages Followed by: 18 members Upvotes: 43 AAPL wrote: Official Guide For every even positive integer $$m$$, $$f(m)$$ represents the product of all even integers from 2 to m, inclusive. For example, $$f(12)=2*4*6*8*10*12$$. What is the greatest prime factor of $$f(24)$$? A. 23 B. 19 C. 17 D. 13 E. 11 OA E We are given that for every even positive integer m, f(m) represents the product of all even integers from 2 to m, inclusive. Thus, f(24) = 2 x 4 x 6 x 8 x 10 x 12 x 14 x 16 x 18 x 20 x 22 x 24. If we were to break each value into primes, we would see that the greatest prime factor is contained in 22 (which equals 2 x 11). Thus, the largest prime factor in f(24) is 11. Answer: E _________________ 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 • Magoosh Study with Magoosh GMAT prep 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 • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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