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If n is the product of the integers from1 to 20 inclusive,

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Manager
Manager
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Joined: 10 Oct 2008
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Kudos [?]: 5 [0], given: 0

If n is the product of the integers from1 to 20 inclusive, [#permalink] New post 17 Oct 2008, 07:09
If n is the product of the integers from1 to 20 inclusive, what is the greatest integer k for which 2k is a factor of n?

A. 10
B. 12
C. 15
D. 18
E. 20
Director
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Joined: 01 Jan 2008
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Re: product [#permalink] New post 17 Oct 2008, 07:47
Jcpenny wrote:
If n is the product of the integers from1 to 20 inclusive, what is the greatest integer k for which 2k is a factor of n?

A. 10
B. 12
C. 15
D. 18
E. 20


Make sure you write the question correctly next time. It's not 2k but 2^k.

int(20/2)+int(20/4)+int(20/8)+int(20/16)=10+5+2+1=18 -> D
Manager
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Re: product [#permalink] New post 17 Oct 2008, 07:48
what is the OA
I am getting E as answer, as 2*20=40 will be a factor for 20!

or i might be missing some important point here
Manager
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Joined: 15 Apr 2008
Posts: 169
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Re: product [#permalink] New post 17 Oct 2008, 07:56
yes, now it makes sense
so it actually is 2^k

now my answer is D
Re: product   [#permalink] 17 Oct 2008, 07:56
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If n is the product of the integers from1 to 20 inclusive,

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