Find the remainder when 2^10 is divided by 5.
Note
Powers of 2 modulo 5 cycle every 4: 2, 4, 3, 1. Since 10 mod 4 = 2, 2^10 ≡ the second value in the cycle ≡ 4 (and 2^10 = 1024, whose remainder on division by 5 is 4).
Find the remainder when 2^10 is divided by 5.
Powers of 2 modulo 5 cycle every 4: 2, 4, 3, 1. Since 10 mod 4 = 2, 2^10 ≡ the second value in the cycle ≡ 4 (and 2^10 = 1024, whose remainder on division by 5 is 4).