Question

Check whether 6n can end with the digit 0​

Answer 1

No...

$6^{n} = (2 × 3)^n$

Since, There are no factors of 5 , therefore this number can never end with digit 0.

Answer 2

Answer:

If any number ends with the digit 0, it should be divisible by 10 or 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 factorisation 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.

Step-by-step explanation:

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