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Question

Can 15end with a 0, where n is a natural number


Solution

As we know that

15n = (3 x 5)n

  =  3n x 5n

The prime factorization of 15 doesn't have a 2 as its factor. So, its factorization will never end in 10 as a number ending in 10 must have  factors of  5 as well as 2. So, 15n will never end in zero as 15 doesn't have 2 as a factor.

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