For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 4 to n, inclusive. If p is the smallest prime factor of h(100) +4, then p is?  Select
A) between 4 and 20  B) between 10 and 20  C) between 20 and 30  D) between 30 and 40  E) 4
h(100) will have 0 in its unit digit because while doing the calculation of the function we are multiplying by 10 (and 100). So h(100)+4 will have 4 in the units digit so smallest prime factor is 4.   Answer: 4
<result>E</result>
For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 4 to n, inclusive. If p is the smallest prime factor of h(100) +4, then p is?