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) +2(100)+1, then p is? Select the correct option:  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 100. So h(100)+2(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) +2(100)+1, then p is?