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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.

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Q: How are odd and even numbers are related to their factors?

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

The number of factors can be either even or odd.

No, only square numbers have an odd number of factors.

10

Composite numbers can have either an odd number or an even number of fractions. Factors of 25 are 1, 5, 25 . (odd number of them) Factors of 26 are 1, 2, 13, and 26 . (even number of them)

Related questions

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

Some even numbers have more factors than some odd numbers and some odd numbers have more factors than some even numbers. As a group, even numbers have more factors than odd numbers.

Some even numbers have more factors than some odd numbers and some odd numbers have more factors than some even numbers. As a group, even numbers have more factors than odd numbers.

Both odd and even numbers may have odd numbers as factors.

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

No. Odd numbers don't have even factors.

Not only can they, but they must. An odd number cannot have an even factor. So none of the factors of either of the two odd numbers can be even and so the GCF is made up of only odd factors and so it must be odd.

The GCF of any two odd numbers is always odd because odd numbers don't have any even factors. The GCF of any two even numbers is always even because even numbers are divisible by two and any common factors would have at least one two in common. The GCF of an even and an odd number is odd because odd numbers don't have any even factors.

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

At least one of the factors of an even number must be even, because the product of odd factors is always odd.

Both. 9 has three factors. 11 has two factors.

The GCF of any set of odd numbers is odd because odd numbers don't have any even factors.