



 
Pete, You can't. To find the factors and number of factors you really need to know the primes divide the number and how often. For example we know the number 2^{5} x 3^{7} x 13^{8} has (5+1)(7+1)(8+1) = 432 divisors but it depends on knowing the primes appear to the exponents of 5, 7 and 8 respectively. To factor large numbers is extremely difficult, if not impossible, even for the world's fastest computers. Penny
 


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