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# GMAT PREp factor question

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Manager
Joined: 14 May 2006
Posts: 57

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31 Dec 2006, 14:02
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Anyone got a clue to best some this type of question?

If the integers a and n are greater than 1 and the product of the first 8 positive integers is a multiple of a^n, what is the value of a?

1) a^n = 64
2) n = 6

Dan

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Director
Joined: 28 Dec 2005
Posts: 915

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31 Dec 2006, 15:21
1*2*3*4*5*6*7*8 = 1*2*3*2^2*5*(2*3)*7*2^3
Given : k*a^n = 8!

From 1 if a^n = 64, it can either be 2^6 or 4^3, so insuff

From 2) if n=6, we know a=2 (not 4), so suff.

Ans:B

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Manager
Joined: 14 May 2006
Posts: 57

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01 Jan 2007, 14:18
Thanks dude.

That was more simple than expected.

Dan

Kudos [?]: 4 [0], given: 0

Thanks   [#permalink] 01 Jan 2007, 14:18
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# GMAT PREp factor question

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