Question

check whether 6n can end with zero

Answer 1

hello dear friend,
6n can never end with digit zero because a number ends with digit zero if it has factors in the form (2 cross 5)
since 6 has factors 2 cross 3 it can never end with digit zero.
hope it will help

Answer 2

★ Hi , there !! ★

here is your answer !!

as we know that any positive integer ending with the digit 0 is divisible by 5 and 2 its prime factorization must contain the prime 5

but we have ,

6n = 2^m × 3 ^ n

the only prime factorization of 6 n is 2 and 3

{ by the fundamental theorem of arithmetic }

5 does not occur in prime factorization of 6^ n

hence ,
6^ n does not end with digit 0 for any natural number

hope it helps you dear !!!

thanks !!!