# For every positive odd integer n, the function h(n) is defined to be the product of all the odd ...

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?

## Answer/Solution

1

### Steps/Work

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: E

Answer: E