Q. 54.3( 390 Votes )

- Check whether 6
^{n} can end with the digit 0 for any natural number *n*.

^{n}can end with the digit 0 for any natural number*n*.Answer :

We need to find can 6^{n} end with zero

If any number has last digit 0,

Then, it should be divisible by 10

Factors of 10 = 2×5

So,

Value 6^{n} should be divisible by 2 and 5

Prime factorisation of 6^{n} = (2×3)^{n}

Hence,

6^{n} is divisible by 2 but not by 5.

It can not end with 0.

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