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What is the remainder when 3^2026 is divided by 8? | QuestionStock

Representative image for question: What is the remainder when 3^2026 is divided by 8?

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Mathematics

What is the remainder when 3^2026 is divided by 8?

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What is the remainder when 3^2026 is divided by 8?

Options:

0
1
3
5

Correct answer: 1

Explanation: Since 3^2 ≡ 1 (mod 8), every even power of 3 is 1 mod 8; 2026 is even so 3^2026 ≡ 1 (mod 8). This uses the concrete fact 3^2=9≡1 (mod 8).

Created 2026-03-10T17:47:57.563Z. Updated 2026-03-10T17:47:57.563Z.