Study guides

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

Write your answer...

Submit

Related questions

Yes.

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.

Factors can be listed as factor pairs. With square numbers, one of those pairs will be the same number twice. When written as a list, only one of them will be used, leaving an odd number of factors.

Square numbers have an odd number of factors.

Square numbers have an odd number of factors.

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

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

Square numbers have an odd number of factors, but beyond that, any odd number can be a factor.

All square numbers have an odd number of factors.

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.

No. Consider 15: 1,3,5,15 Every positive whole number has an even number of factors, unless the number is a perfect square.

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

Odd.

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

Square numbers have an odd number of factors.

Square numbers have an odd number of factors.