What is the remainder when \(2^{31}\) is divided by 5?
A. 1
B. 2
C. 4
D. 3
A. 1
B. 2
C. 4
D. 3
Best answer
Answer: D. 3
Answer: (D) 3
Powers of 2 mod 5 repeat in a cycle of 4: 2, 4, 3, 1. \(31 = 4 \times 7 + 3\), so \(2^{31} \equiv 2^3 = 8 \equiv 3 \pmod 5\).
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