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.
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