Consider the following number system. Calculate the prime factorization for each number n, then represent the prime factors in a vector like so:

       13 11 7 5 3 2
      ---------------
    2:             1
    3:           1 0
    4:             2
    5:         1 0 0
    6:           1 1
   12:           1 2
   14:       1 0 0 1
   18:           2 1
   26:   1 0 0 0 0 1
   60:         1 1 2

Each "place" in the number system represents a prime number. Given n, return the vector p.

As shown above, if n = 26, then p = [1 0 0 0 0 1].

The input n is always an integer greater than 1. Suppress any leading zeros. The length of the vector is determined by the largest prime factor.