| ||You have been hired to do some refactoring. You are not really sure what that is, but you think it has something to do with factoring a number multiple times.
Recall that a factorization of a positive integer n is a collection of at least two positive integers, each larger than one, whose product is n. Note that the order of the numbers in a factorization is ignored, so 2*12 and 12*2 represent the same factorization of 24. In fact, 24 has precisely 6 valid factorizations:
2*2*2*3, 2*2*6, 2*3*4, 2*12, 3*8, and 4*6.
To prepare for your job, write a program that, given an int n, returns the number of unique factorizations of n.