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 20

B. between 10 and 20

C. between 20 and 30

D. between 30 and 40

E. greater than 40

please EXPLAIN why answer is E. TIA

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