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# Problem solving

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Intern
Joined: 30 Nov 2012
Posts: 8

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01 Dec 2012, 00:54
2
KUDOS
help me:
If p is the product of the integers from 1 to30, inclusive, what is the greatest integer k for which 3^k is a factor of p?
A)10. B)12. C)14. D)16. E)18
Director
Status: Tutor - BrushMyQuant
Joined: 05 Apr 2011
Posts: 617
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 570 Q49 V19
GMAT 2: 700 Q51 V31
GPA: 3
WE: Information Technology (Computer Software)

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01 Dec 2012, 11:06
bm07biswas wrote:
help me:
If p is the product of the integers from 1 to30, inclusive, what is the greatest integer k for which 3^k is a factor of p?
A)10. B)12. C)14. D)16. E)18

take all the multiples of 3 from 1 to 30
there will be (30-3)/3 + 1 = 10 numbers
also, 9,18 will give you two more 3's in total
and 27 will give you two more 3's
so, total powers of 3 will be 10 + 2+2= 14

Hope it helps!
_________________

Ankit

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Re: Problem solving   [#permalink] 01 Dec 2012, 11:06
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