# 99 questions/Solutions/36

### From HaskellWiki

(**) Determine the prime factors of a given positive integer.

Construct a list containing the prime factors and their multiplicity.

prime_factors_mult n = map swap $ encode $ primeFactors n where swap (x,y) = (y,x)

using `primeFactors` from problem 35 to generate the list of prime factors in ascending order, and `encode` from problem 10 to compress this list to a list of numbers paired with their multiplicity.

Without relying on `encode` from problem 10, but using `group` from `Data.List`:

prime_factors_mult = map encode . group . primeFactors where encode xs = (head xs, length xs)