Question

Check whether 15ⁿ can end with digit 0 for any natural number n

Answer 1

As we know that

15ⁿ = (3 x 5)ⁿ

  =  3ⁿ x 5ⁿ

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