Ah, isn't that just a happy little mystery to ponder? You see, when a number has an odd number of factors like 64, it means that the number is a perfect square. In this case, 64 is a perfect square because it can be expressed as 8 multiplied by 8. Just remember, in the world of numbers, there's always a little bit of magic and wonder to discover!
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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.
Because it is a square and the factor pair of 8 and 8 is only listed as one factor.
Perfect squares are numbers with an odd number of factors.
Square numbers have an odd number of factors.
Square numbers have an odd number of factors, but beyond that, any odd number can be a factor.
64
All square numbers have an odd number of factors.