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

Ans: 

For any number to end with the digit 0, it will be divisible by 10

Since 10 = 2 x 5, therefore, a number ending with digit 0 will be divisible by 2 and 5 both.

Next, since factors of 6 are 2 and 3

Hence, for each value of n, 6ⁿ will be divisible by 2 and 3, but not by 5

Therefore, 6ⁿ cannot end with the digit 0 for any natural number n.

Please do press “Heart” button if you liked the solution.