模考中不解的一道题

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 20 and 10

b.   
between 10 and 20

c.   
between 20 and 30

d.   
between 30 and 40

e.   
greater than 40

Right Answer: E