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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 ## Prime Factors ##### This topic has 3 member replies ## Prime Factors Can someone please tell me how to answer this question, the books explanation is shocking!! If a and b are positive integers, is a a multiple of b? (1) Every distinct prime factor of b is also a distinct prime factor of a (2)Every factor of b is also a factor of a Thanks in advance! Master | Next Rank: 500 Posts Joined 15 Mar 2008 Posted: 102 messages Upvotes: 4 IMHO, The answer is B. Look at it in this way. First consider 2). - Since every number is a factor of itself, b is a factor of b. - It is given that every factor of b is a factor of a. from i) and ii) b is a factor of A. Therefore A is a multiple of B. 1) is not sufficient because what about the prime factors that are repeated. two number having the same prime factors does not mean they are multiple of each other. e.g. 12 and 18 have the same prime factor 2 and 3 but neither is the multiple of the other. But 6 and 12 have same prime factors but 12 is a multiple of 6. Guys, please correct me if my explanation is misleading. Would it have made a difference had the the word distinct was been there ? Newbie | Next Rank: 10 Posts Joined 16 Jun 2008 Posted: 5 messages what if a=b Is a still a factor of b Senior | Next Rank: 100 Posts Joined 11 Jul 2008 Posted: 58 messages Upvotes: 4 Test Date: 8/16/2008 Target GMAT Score: 730+ Sure- every number will have at least 1 and itself as a factor. So if a=b then a can be a factor of b. • Free Trial & Practice Exam 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 Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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