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If you mean 'prime' factors, then an odd number of them CAN'T produce a perfect square. Consider 3 factors ... A, B, and C. If their product were a perfect square, then AxB=C, which can't be true if C is a Prime number. For non-prime factors, an odd number of them may or may not be a perfect square: Three factors = not a square: 2 x 3 x 5 = 30. Three factors = a square: 2 x 3 x 6 = 36.

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Q: If a number has an odd number of factors is it a perfect square?

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if a number has an odd number of factors it would be a perfect square

if a number has an odd number of factors it would be a perfect square

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Odd. I determined my answer by looking at the number of factors of a square number.

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Because it's a square number. All perfect squares have an odd number of factors because they have one factor pair that is the same number twice (the square root) and when the factors are listed, the number is listed once.