For every positive odd integer n, the function h(n) is defined to be the product of all the odd integers from 1 to n, inclusive. If p is the smallest prime factor of h(100) +1, then p is?
Choose the correct answer:
A) between 1 and 20	B) between 10 and 20	C) between 20 and 30	D) between 30 and 40	E) 1
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)+1 will have 1 in the units digit so smallest prime factor is 1.   Answer: 1
<result>E</result>
For every positive odd integer n, the function h(n) is defined to be the product of all the odd integers from 1 to n, inclusive. If p is the smallest prime factor of h(100) +1, then p is?