Q. 54.3( 390 Votes )

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

Answer :

We need to find can 6n end with zero
If any number has last digit 0,

Then, it should be divisible by 10
Factors of 10 = 2×5


Value 6n should be divisible by 2 and 5

Prime factorisation of 6n = (2×3)n


6n is divisible by 2 but not by 5.

It can not end with 0.

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