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Q: Do only square numbers have an even number of factors?

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Not necessarily. Square numbers don't.

Incorrect. Square numbers are composite and have an odd number of factors.

There are square numbers (numbers which are a square of an integer), such as 4. It's factors, listed are 1, 2, and 4. All square numbers have an odd number of factors. Then there's 1, which has only 1 factor: 1. All other numbers have an even number of factors. Prime numbers will have only 2 factors (2 is even).

The square of every positive or negative even whole number is a positive even whole number. The square of every positive or negative odd whole number is a positive odd whole number. There are an infinite number of each kind.

Even numbers must have 2 amongst their factors; they may have other even numbers amongst their factors. Odd numbers must not; every factor of an odd number must be odd.

Related questions

No. Perfect square numbers have an odd number of factors.

No, square numbers have an odd number of factors.

Even powers of prime numbers. Square numbers have an odd number of factors.

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

Square numbers have an odd number of factors, all others have an even number. In this context, primes can either be considered as having 0 factors (an even number) or 2 factors - 1 and itself, again, an even number.

The factors of all numbers can be written in pairs. With square numbers, one of those pairs is the same number twice. When listed singly, square numbers have an odd number of factors. All others are even.

Not necessarily. Square numbers don't.

Incorrect. Square numbers are composite and have an odd number of factors.

There are square numbers (numbers which are a square of an integer), such as 4. It's factors, listed are 1, 2, and 4. All square numbers have an odd number of factors. Then there's 1, which has only 1 factor: 1. All other numbers have an even number of factors. Prime numbers will have only 2 factors (2 is even).

non-square

They are called Non-square numbers.

Factors come in pairs. It is only in the case of a square number that the two middle factors are equal and so are counted only once.

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