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Maximum Value of a Remainder

publish date2026/05/11 07:08:22.238109 UTC

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When dividing by a divisor of 23, what is the largest value the remainder can be?

Correct Answer

22

Explanation

The remainder must always be less than the divisor. If the remainder were equal to or greater than the divisor, the estimate was too small and should be increased by 1. So when the divisor is 23, the maximum remainder is 22.

Reference

Mathematics for college students


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