Since, 21=2,22=4,23=8,24=16,25=32 It is clear that unit place is repeated after every four power. Then 2301=(24)75.2 =(16)75.2 ∴ Digit at unit place in (16)75 is 6. ∴ Digit at units place in 2301 = digit at units place in (6) . 2 = 2 Hence, the remainder, when 2301 is divided by 5, is 2.