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Check whether 6^ncan end with the digit ...

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

Text Solution

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We can write `6^n` as `(2**3)^n` or `2^n3^n`.
Now, for the end digit to be `0`, number should be divided by 10 or it should be divided by 2 and 5.
In our case, it can be divided by `2` and `3`, but, not by `5`.
So, given number can not end with 0.
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