Question

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

Answer 1

6^n can not end with the digit 0 for any natural number n. In fact 6^n will end with the digit 6 for any natural number 6.
6^1 = 6
6^2 = 36
6^3 = 216
and other powers over 6 can be written as the product of the above terms and the unit place of the product will always be 6 as 6*6 = 36 results in 6 as the last digit.
For example, 6^5 = 6^1 * 6^3 = 6 * 216 = 1296 which ends with the digit 6 and so on.