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+import Data.List (group)
+
+primeFactors :: Int -> [Int]
+
+primeFactors x = factor x primes
+ where primes = filterPrime [2..]
+ filterPrime (p:xs) = p:filterPrime [x | x <- xs, x `mod` p /= 0]
+ factor x l@(p:xs)
+ | p > x = []
+ | x `mod` p == 0 = p:factor (x `div` p) l
+ | otherwise = factor x xs
+
+primeFactorsMult :: Int -> [(Int, Int)]
+
+primeFactorsMult x = [(head l, length l) | l <- group $ primeFactors x]