Python-сообщество

#!/usr/bin/python
# vim: sw=4 ts=4 expandtab ai
# coding:utf8

import sys
from operator import mul

def eratosthenes(x):
    '''Yields the sequence of prime numbers via the Sieve of Eratosthenes.'''
    D = {}  # map composite integers to primes witnessing their compositeness
    q = 2   # first integer to test for primality
    while q <= x:
        if q not in D:
            yield q        # not marked composite, must be prime
            D[q*q] = [q]   # first multiple of q not already marked
        else:
            for p in D[q]: # move each witness to its next multiple
                D.setdefault(p+q, []).append(p)
            del D[q]       # no longer need D[q], free memory
        q += 1

def razl(x):
    y=[]
    for i in eratosthenes(x):
        while not x % i and x != 1:
            y.append(i)
            x /= i
        if x == 1:
            break
    return y

num = int(sys.argv[1])
res = razl(num)
print res, reduce(mul, res, 1) == num