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Q: What is the meaning of even and odd factors?

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

Every even number has odd and even factors.

48 has both even and odd factors.

No. The opposite is true: the gcf of an odd number and an even number is always odd. All the factors of an odd number are odd; or to put it another way: If a number has an even factor, the number itself must be even. Thus the only common factors between odd and even numbers must be odd.

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.

Odd

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.

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

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

The GCF of an odd and an even number must be odd since odd numbers do not have any even factors.

No. Since odd numbers don't have any even factors, the GCF of odd and even must be odd.

The factors of 20 are 1,2,4,5,10 and 20. Two are odd, four are even.

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.

Odd.

Yes. An even number is defined as being evenly divisible by 2 (no fractional answers, only integers). If an odd number has an even factor, then because of the above definition, this odd number must have a factor of 2. But you will be hard pressed to find an odd number that is a multiple of 2, because that is already the definition of an even number. So, odd numbers cannot have even factors and thus odd numbers always have odd factors.

No, odd numbers don't have even factors.

No. Odd numbers don't have even factors.

Odd.

It is an odd number, so it has no even factors.

The number of factors can be either even or odd.

No, always odd. Since odd numbers don't have any even factors, they can't have any in common.

No. Odd numbers only have odd factors. They could not have an even factor in common.

No. Odd numbers don't have even factors.

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