PS solving

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PS solving

by nsana » Mon Mar 31, 2008 8:22 am
I am taking the GMAT tomorrow, and I came accross this question from the GMATPrep program. I do not know how the answer is obtained. Would anyone know the solution or have a hint? Thank you.

For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 2 to n, inclusive. If p is the smallest prime factor of h(100) + 1, then p is:

A- between 2 and 10
B- between 10 and 20
C- between 20 and 30
D- between 30 and 40
E- greater than 40

And the answer is E. Anybody knows how that was obtained? Thanks again.
Source: — Problem Solving |