Question

Can the number 6ⁿ, n being a natural number, end with the digit 5? Give reason.

Answer 1

no because the number ends with digit 5 must have prime factorisation 0and5 but here the prime factorisation of no. is 2and 3.

Answer 2

Question :-

Can the number 6ⁿ, n being a natural number, end with the digit 5? Give reason.

Answer :-

Given number = 6ⁿ ; n ∈ N

6ⁿ to be end in 5; it should be divisible by 5

6ⁿ = (2 × 3)ⁿ

The prime factors of 6ⁿ are 2 and 3.

∴ It can't end with the digit 5.