FInd the remainder when 2 pow 31 is divided by 5

2 pow 31
= 2 pow 10 * 2 pow 10 * 2 pow 10 * 2
= (1024) pow 3 * 2
Taking only unit digits we get 4 pow 3 *2
Further taking unit digits of power 4*2=8

When 8 is divided by 5 we get 3 as remainder

Hence when 2 pow 31 is divided by 5 we get 3 as remainder