multiplicities of prime factors less than x

gistfile1.py

def get_primes_multiplicities(x):
    """
    Returns factors for x!
    """
    p_multi = {}#factors multiplicities
    for p in primes_less(x):
        temp = x  
        mult = 0      
        while temp!= 0:
            temp /= p
            mult += temp
        p_multi[p] = mult
    return p_multi

def nbr_factors(x):
    nbr = 0
    for f in get_primes_multiplicities(x).values():
        nbr += (f + 1)
    return nbr