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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]

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17 Mar 2009, 12:41
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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?

Kudos [?]: 52 [0], given: 0

Senior Manager
Joined: 16 Jan 2009
Posts: 354

Kudos [?]: 239 [0], given: 16

Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)
Re: GMAT Prep DS - Prime factors [#permalink]

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17 Mar 2009, 15:42
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

I guess answer is B.
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Lahoosaher

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Manager
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Kudos [?]: 52 [0], given: 0

Re: GMAT Prep DS - Prime factors [#permalink]

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17 Mar 2009, 16:56
Is there any way statement 1 could have had impact on this question?

OA is B.

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Re: GMAT Prep DS - Prime factors   [#permalink] 17 Mar 2009, 16:56
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# If the prime numbers p an t are the only prime factors of

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