What is the smallest number such that is divisible by ?
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The prime factorization of 8 2 0 8 is 2 4 × 3 3 × 1 9 . Four multiples of 2 and three multiples of 3 can be obtained by 9 ! , but to get a multiple of 19, it has to be 1 9 ! since 1 9 is prime.