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What is the remainder when 5^123 is divided by 4?

GMAT · 2021 · Quantitative
Question:
What is the remainder when 5^123 is divided by 4?

Options

(A) 0
(B) 1
(C) 2
(D) 3
(E) Cannot be determined
Answer: (B) 1

Explanation:
Powers of 5 modulo 4: 5 ≡ 1 (mod 4). Therefore 5^123 ≡ 1^123 ≡ 1 (mod 4). Remainder is 1.

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