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Q: Why does a square number have an odd number of factors?

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Square numbers have an odd number of factors.

Square numbers have 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

Square numbers have an odd number of factors.

Square numbers have an odd number of factors.

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

All square numbers have 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 have an odd number of factors.

Square numbers have an odd number of factors.

A perfect square has an odd number of factors.

Square numbers have an odd number of factors.

Square numbers have an odd number of factors.

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

Square numbers have an odd number of factors.

Square numbers have an odd number of factors. There are no square numbers in that range.

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

Odd.

Square numbers have an odd number of factors.

Square numbers have an odd number of factors.

A perfect square has an odd number of distinct factors, because two of its factors are the same number.

One of the factor pairs for a square number will be the same number twice. When you list the factors, you only need to write that number once. That will leave you with 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.

an odd number