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All exams · Number systems

Units digit and cyclicity

See why powers repeat in short cycles, then try an original eight-question quiz.

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The last digits of powers of 7 follow a four-step cycle: 7, 9, 3, 1. To find the units digit of 7^2026, divide 2026 by 4. The remainder is 2, so use the second digit in the cycle: 9. This works because multiplying by 7 advances the repeating units-digit pattern.

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