Question

check whether 3n can end with1, n is not equal to 1,n€N​

Answer 1

Answer:

If 15

n

is divisible by 10 then it can end with digit zero.

If it is divisible by 10, it has to be divisible by 5 and 2 both.

The prime factorization of 15 is 3×5.

15

n

=(3×5)

n

By observation, (3×5)

n

is divisible by 5 but not by 2.

Hence, 15

n

is not divisible by 10.

Hence, 15

n

does not end with digit 0 for any natural number n.