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# Very familiar GMAT ques, but missing somewhere - Plz help

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Intern
Joined: 27 Aug 2012
Posts: 18

Kudos [?]: 7 [0], given: 55

Very familiar GMAT ques, but missing somewhere - Plz help [#permalink]

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01 Dec 2012, 01:35
If p is the product of the integers from 1 to 30, 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

I get k = 13, 10 multiples of 3 + 1(for 9)+ 2(for 27) = 13. But not in any answer options. Can anyone help?
[Reveal] Spoiler:
C

Kudos [?]: 7 [0], given: 55

VP
Joined: 02 Jul 2012
Posts: 1216

Kudos [?]: 1692 [1], given: 116

Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: Very familiar GMAT ques, but missing somewhere - Plz help [#permalink]

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01 Dec 2012, 05:13
1
KUDOS
SreeViji wrote:
If p is the product of the integers from 1 to 30, 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

I get k = 13, 10 multiples of 3 + 1(for 9)+ 2(for 27) = 13. But not in any answer options. Can anyone help?
[Reveal] Spoiler:
C

p = 30!. To find the highest power of 3 there is a formula:

30/3 + 30/9 + 30/27 (We need only the whole number part) = 10 + 3 + 1 = 14. Answer is C. You are leaving out the extra 3 in 18...

Illustration :

3 -->1
6 -->1
9 -->2
12-->1
15-->1
18-->2
21-->1
24-->1
27-->3
30-->1

In total... 14
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Kudos [?]: 1692 [1], given: 116

Intern
Joined: 27 Aug 2012
Posts: 18

Kudos [?]: 7 [0], given: 55

Re: Very familiar GMAT ques, but missing somewhere - Plz help [#permalink]

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01 Dec 2012, 19:48
Thank youso much...i saw this formula in gmat club,but forgot. Thanks for your time anyways

Kudos [?]: 7 [0], given: 55

Re: Very familiar GMAT ques, but missing somewhere - Plz help   [#permalink] 01 Dec 2012, 19:48
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# Very familiar GMAT ques, but missing somewhere - Plz help

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