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# integer

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Intern
Joined: 02 Jun 2009
Posts: 22

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02 Jun 2009, 03:42
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If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3k is a factor of p?
A. 10
B. 12
C. 14
D. 16
E. 18

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Senior Manager
Joined: 16 Jan 2009
Posts: 341
Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)

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02 Jun 2009, 12:54
IMO E. 18

p is the product of the integers from 1 to 30
p=1*2*3*4*5.......30

let k = 18
3 and 18 both are factors of p so 18 is the number for which 3k is a factor of p
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Lahoosaher

Senior Manager
Joined: 15 Jan 2008
Posts: 263

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03 Jun 2009, 03:04
3 is already in the product of integers from 1 to 30..

the next largest integer that is given in the options is 18..even that integer exists in the solution given..
hence the answer shud be 18..

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: integer   [#permalink] 03 Jun 2009, 03:04
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