Question

check whether 6n can end with the digit 0 for any natural number n​ ?

Answer 1

6n = (2×3)n

The primes in the factorisation of 6n are 2 and 3.

For 6n to end in digit 0, prime factorisation of 6n should contain the primes 2 as well as 5.

Therefore, there is no natural number n for which 6n ends with digit 0.