If any number ends with a digit 0, it should be divisible by 10.
In other words, it will also be divisible by 2 and 5 as 10 = 2 × 5
Prime factorisation of 6n=(2×3)n
It can be observed that 5 is not in the prime factorization of 6n.
Hence, for any value of n, 6n will not be divisible by 5.
Therefore, 6n cannot end with the digit 0 for any natural number n.