I was trying to help my sister study for the SATs and I came across two problems that i didn't know how to do. Here they are:
Consider a positive odd integer n. Let X = twice the number of factors of n, and let Y = the number of factors of 2n. Which of the following must be true?
A)X = 4
B)X > Y
C)Y > X
D)X = Y
E)There is not enough information to solve the problem
Let the expectal(x) be defined for all x as the smallest prime number that is greater than x/2. What is the value of:
Thanks in advance!!