he prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number 600851475143 ?
def max_factor(num):
"""Find the maximum prime factor."""
factor = 2
while factor * factor <= num:
while num % factor == 0:
num /= factor
factor += 1
if (num > 1):
return num
return factor
print max_factor(33) #11
print max_factor(38) #19
print max_factor(600851475143) #6857