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

Updated: 11/2/2022

Wiki User

14y ago

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.

Wiki User

14y ago

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

### What type of factor has an odd number of factors?

A perfect square has an odd number of factors.

### What is a number that has an odd number of factors?

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

### What is a number that has odd number of factors?

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

### What type of number has an odd number of factors?

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

### What type of number has an odd number factors?

A perfect square.

### What type of a number has an odd number of factors?

A perfect square.

### What time of number has a odd number of factors?

A perfect square.

### What is a number called with an odd numbers of factors?

A square number or a perfect square.

### What type of number has odd number of factors?

A perfect square.

### Does a perfect square number have and even or odd number of distinct factors show how you determine your answer?

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

An odd number.