Question

Can the number 8ⁿ, n being a natural number, end with the digit 0? Give reasons. 

Answer 1

For a number to end with digit 0 its prime factorisation should have 2 and 5 as a common factor.

(8)ⁿ = (2³)ⁿ = (2³ⁿ)

8ⁿ does not have 5 in its prime factorization.

∴ 8ⁿ can not end with the digit 0.