For every positive odd integer n, the function h(n) is defined to be the product of all the odd integers from 3 to n, inclusive. If p is the smallest prime factor of h(200) +3, then p is? Choose the correct option:	A) between 3 and 20	B) between 10 and 20	C) between 20 and 30	D) between 30 and 40	E) 3
h(200) will have 0 in its unit digit because while doing the calculation of the function we are multiplying by 200. So h(200)+3 will have 3 in the units digit so smallest prime factor is 3.   Answer: 3
<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 3 to n, inclusive. If p is the smallest prime factor of h(200) +3, then p is?