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Q: Do all square number have an odd number of factor?

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Yes.

I would call an odd number factor a factor that is an odd number. I would call a number with an odd number of factors a perfect square.

A square number has an odd number of factors, but a number with an odd number of factor pairs is nothing special.

A perfect square has an odd number of factors.

Square numbers have an odd number of factors, but beyond that, any odd number can be a factor.

square numbers

All odd numbers have odd factors.

There are infinitely many of them. The square of every odd number will be an odd square number.

Yes, because each factor must have another factor to go with it, but the square root of a number can have itself as a pair.

1, 25

1 and 25

1 and 25

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