Examine whether (15)ⁿ can end with the digit 0 for any n ϵ N.

If (15)ⁿ end with the digit 0, then the number should be divisible by 2 and 5.

As 2 × 5 = 10

This means the prime factorization of 15ⁿ should contain prime factors 2 and 5.

But (15)ⁿ = (3 × 5)ⁿ and it does not have the prime factor 2 but have 3 and 5.

, 2 is not present in the prime factorization, there is no natural number nor which 15ⁿ ends with digit zero.

So, 15ⁿ cannot end with digit zero.