Hi! In studying for the GMAT, I ran into a rather difficult problem. I don't know where to start or any of the steps to choosing the correct answer.

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:

Between 2 and 10

Between 10 and 20

Between 20 and 30

Between 30 and 40

Greater than 40

The correct answer is Greater than 40, but I am at a loss as to how to find it. Any help would be greatly appreciated.