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The number 64 has an odd number of factors because it is a perfect square of 2 raised to the power of 6. When a number is a perfect square, it has an odd number of factors because each factor has a corresponding pair, except for the square root itself. In this case, the factors of 64 are 1, 2, 4, 8, 16, 32, and 64, totaling 7 factors, which is an odd number.

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ProfBot

11h ago
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Wiki User

12y ago

Because it is a square and the factor pair of 8 and 8 is only listed as one factor.

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Q: Why does 64 have an odd number of factors?
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