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Determine all of the primes that divide the number 100!

Quote: Originally Posted by fifthrapiers Determine all of the primes that divide the number 100! You can write it out as, 100!=100(99)....(2)(1) Thus, 100! is divisible by p if and only if p divides those factors if and only if p divides one of those factors. Thus, it is all primes up to 100.