Solution:
If the number 6n ends with the digit zero (0), then it should be divisible by 5, as we know any number with the unit’s place as 0 or 5 is divisible by 5.
Prime factorization of 6n = (2 × 3)n
Therefore, the prime factorization of 6n doesn’t contain the prime number 5.
Thus, it is clear that for any natural number n, 6n is not divisible by 5.
Hence, it proves that 6n cannot end with the digit 0 for any natural number n.