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# If P is a prime number and Q is a positive integer, how many factors

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Current Student
Joined: 28 May 2014
Posts: 515
GMAT 1: 730 Q49 V41
If P is a prime number and Q is a positive integer, how many factors  [#permalink]

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23 Apr 2018, 02:28
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Question Stats:

33% (00:17) correct 67% (03:34) wrong based on 9 sessions

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If P is a prime number and Q is a positive integer, how many factors does P^2Q have?

(1) The lowest number that has both P^2 and Q^3 as its factors is 5400
(2) P and Q have only one common factor

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Math Expert
Joined: 02 Sep 2009
Posts: 58434
Re: If P is a prime number and Q is a positive integer, how many factors  [#permalink]

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23 Apr 2018, 02:41
saswata4s wrote:
If P is a prime number and Q is a positive integer, how many factors does P^2Q have?

(1) The lowest number that has both P^2 and Q^3 as its factors is 5400
(2) P and Q have only one common factor

Discussed here: https://gmatclub.com/forum/if-p-is-a-pr ... 60632.html
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Re: If P is a prime number and Q is a positive integer, how many factors   [#permalink] 23 Apr 2018, 02:41
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# If P is a prime number and Q is a positive integer, how many factors

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