Question

Check whether 6 raise to N can end with the digit 0 for any natural number N ...

PLZZ ANSWER FAST

Answer 1

no it will always end in 6 ecxept raised to 0 it will be 1. provided you do not take any neagative integer

Answer 2

let us suppose that 6 raise to power n end with digit 0
so it will be divisibke by 5
which means 5 is one of the factor in its prime factorization which is not possible because 6raise to power n = (2×3) raise to power n
and it does not have 5 as a factor
It contradicts the uniqueness part of fundamental theorem of arithmetic
this contradiction has arisen due to our wrong supposition
hence 6 raise to power n cannot end with digit 0