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Find-the-last-digit-of-2-253-




Question Number 19499 by tawa tawa last updated on 12/Aug/17
Find the last digit of  2^(253)
Findthelastdigitof2253
Answered by Tinkutara last updated on 12/Aug/17
Cyclicity of 2 = 4 (2, 4, 8, 6)  253 ≡ 1 (mod 4)  ∴ 2^(253)  ≡ 2^1  ≡ 2  Last digit = 2
Cyclicityof2=4(2,4,8,6)2531(mod4)2253212Lastdigit=2

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