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Q 4. If n is the product of the integers from1 to 20 [#permalink]

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13 Oct 2005, 13:51

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Q 4.
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
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Is the question correct? I mean n is a factor of n itself right? So n/2 would be the biggest k (since we know n is even and thus n/2 is an integer). In other words k would be 20!/2. The question may be asking about k as a product of prime numbers or something ...
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Keep on asking, and it will be given you;
keep on seeking, and you will find;
keep on knocking, and it will be opened to you.

then you get another 2 from 4, you get 2 2s from 8, 12, you get another 2, from 16 you get 3 2s... and one more 2 from 20, so lets count all the 2s then