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#! /usr/bin/python2.7 # Factorize numbers. # The algorithm is not efficient, but easy to understand. # If there are large factors, it will take forever to find them, # because we try all odd numbers between 3 and sqrt(n)... import sys from math import sqrt def fact(n): if n < 1: raise ValueError('fact() argument should be >= 1') if n == 1: return [] # special case res = [] # Treat even factors special, so we can use i += 2 later while n % 2 == 0: res.append(2) n //= 2 # Try odd numbers up to sqrt(n) limit = sqrt(n+1) i = 3 while i <= limit: if n % i == 0: res.append(i) n //= i limit = sqrt(n+1) else: i += 2 if n != 1: res.append(n) return res def