Best Answer

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.

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

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

If by 'perfect number' you mean 'perfect SQUARE', then yes. 49 is an odd number and a perfect square.

Yes. Square numbers have an odd number of factors. 49 has three factors.

Square numbers have an odd number of factors.

Odd.

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

Related questions

A perfect square has an odd number of factors.

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

A perfect square has an odd number of factors. Factors of numbers always come in pairs -- except for perfect squares. Since the square root of a perfect square is listed only once on the list of factors, it results in a list with an odd number of factors.

a perfect square

A perfect square.

A perfect square.

A perfect square.

A square number or a perfect square.

A perfect square.

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

An odd number.