Problem Solving

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

a. 2 and 10
b. 10 and 20
c. 20 and 30
d. 30 and 40
e. > 40