Check whether 6 n can end with the digit 0 for any natural number n .

Question

Philoid · Accepted Answer

If any number has last digit 0,

Then, it should be divisible by 10

Factors of 10 = 2×5

So,

Value 6n should be divisible by 2 or 5

Prime factorisation of 6ⁿ = (2×3)ⁿ

Hence,

6n is divisible by 2 but not by 5.

It can not end with 0.

Check whether 6n can end with the digit 0 for any natural number n.