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

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

Even powers of prime numbers. 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.

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).

Related questions

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

No, 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.

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

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.

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

Not necessarily. Square numbers don't.

All nonzero numbers have factors. Some factors are even numbers, some factors are odd numbers.

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

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.