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Square numbers have an odd number of factors. Other numbers have an even number of factors. The squares between 12 and 40 include 16, 25, and 36. If the number has only three factors, it must be the square of a Prime number, since two of the factors will be 1 and itself, so if there is only one more factor, this third number cannot have factors itself. This means the number must be 25, whose factors are 1, 5, and 25. Response: 24 has (at least) three factors - 1, 2, 3, 4, 6, 8, 12, and 24 .

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โˆ™ 2009-05-17 23:15:18
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Algebra

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Q: What is a number between 12 and 40 that has three factors?
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