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Q: Can even square numbers mutiply into an odd number?

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No, only square numbers have an odd number of factors.

The square of every positive or negative even whole number is a positive even whole number. The square of every positive or negative odd whole number is a positive odd whole number. There are an infinite number of each kind.

No. Perfect square numbers have an odd number of factors.

Not necessarily. Square numbers don't.

No, square numbers have an odd number of factors.

No, but only in the case of the number 1 (12=1) are square numbers odd.

Even powers of prime numbers. Square numbers have an odd number of factors.

The factors of all numbers can be written in pairs. With square numbers, one of those pairs is the same number twice. When listed singly, square numbers have an odd number of factors. All others are even.

Any square of the infinitely many odd numbers!

Square numbers have an odd number of factors, all others have an even number. In this context, primes can either be considered as having 0 factors (an even number) or 2 factors - 1 and itself, again, an even number.

An even power. Square numbers have an odd number of factors.

Any even exponent of 3 is a square number.

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