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

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Prep2008E1-PS