Question

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

Answer 1

If the number 6n ends with the digit zero,then it is divisible by 5.Therefore the prime factorization of 6n contains the prime 5.This is not possible because the only prime in the factorization of 6n is 2 and 3 and the uniqueness of the fundamental theorem of arithmetic guarantees that these are no other prime in the factorization of 6n

Hence, it is very clear that there is no value of n in natural number for which 6n ends with the digit zero.

Answer 2

N is a natural no

6n is divisible by 5

But the prime factor of 6 are 2 and 3

6n=(2*3)n

In the prime factor of 6n there is no factor of 5

Therefore 6n dont end with 0

Hope It helps you