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If the prime numbers p an t are the only prime factors of

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Manager
Joined: 19 Oct 2008
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If the prime numbers p an t are the only prime factors of [#permalink]  17 Mar 2009, 11:41
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If the prime numbers p an t are the only prime factors of the integer m, is m a multiple of p^2 t?

1) m has more than 9 possible factors
2) m is a multiple of p^3

Can somebody explain in detail the answer?
Senior Manager
Joined: 16 Jan 2009
Posts: 361
Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)
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Kudos [?]: 97 [0], given: 16

Re: GMAT Prep DS - Prime factors [#permalink]  17 Mar 2009, 14:42
Consider :
2) m is a multiple of p^3

So,
m =>p^3*t*X

t- it is mentioned that t is a factor
X -in case there are more factors , please note , I have not considered option 1 yet
solving further..

m=>(p^2*t)(p*X)
so , m is a multiple of p^2 t

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Lahoosaher

Manager
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Re: GMAT Prep DS - Prime factors [#permalink]  17 Mar 2009, 15:56
Is there any way statement 1 could have had impact on this question?

OA is B.
Re: GMAT Prep DS - Prime factors   [#permalink] 17 Mar 2009, 15:56
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