Try TO >>Divide<< It.
Number Theory
Level
3
Find the remainder when 4444^{4444} is divided by 9.
The answer is 7.
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1 solution
4444 = 7 (mod 9)
7 3 = 343 = 1 (mod 9)
4443 = 0 (mod 3)
4 4 4 4 4 4 4 3 = 1 (mod 9)
4 4 4 4 4 4 4 4 = 4 4 4 4 4 4 4 3 ∗ 4 4 4 4 = 1 * 7 (mod 9) = 7 (mod 9)