Q: When one factor is even and the other factor is odd the product is always what?

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The product of an odd and even number will always have 2 as a factor. Therefore, it will always be even.

When you multiply numbers together, the factors of the product are the factors of all of the multiplicands, and every even number includes at least one factor of 2.

Having a factor of 2 defines an even number. Multiplying anything that has a factor of 2 by anything else will create a product that has a factor of 2, which will be by definition an even number.

No, the product will always be even.

Assuming the second even number is equal to 4 or greater, than the highest common factor of the two numbers is equal to an even number 2 or greater. Why can't an odd factor be used? Any odd factor must be multiplied by (at least) 2 to create an even product (ie. the 1st even number). That same odd factor must be multiplied by (at least 2) and any other number to create a 2nd even product, thereby making the Greatest Common Factor (at least) 2 times the odd number....which is an even number.

It will alway be even, because it will always be the product of an odd and an even number, which is always even.

Yes, it is. Any whole number times an even number will be even. This is because whole numbers can be represented as the product of their prime factors. Every even number contains 2 as a prime factor (thereby excluding all even numbers above 2 from being prime.) Additionally, the product of any two numbers is equal to the product of their prime factors. This means that the result of multiplying an even number by a whole number will always have a prime factor of 2, making it an even number.

No.

No, the GCF of an odd an even number is not always 1. Odd and even numbers can share factors other than 1. For example, the greatest common factor of 5 and 10 is 5.

Always even.

No, always odd.

An even number is any number that has '2' as a factor.When you multiply two numbers, you multiply all the factors of both of them.If '2' was a factor of either number, or of both, then it's a factor of their product,and the product must therefore be an even number.

Every even number is divisble by two. ALWAYS. That is why 2 is in every even factor.

No, always odd.

If you multiply one even number by one odd number, the result is always even. In general, if you multiply several numbers, and at least one of the numbers is even, the product is always even. This is because "even" means "multiple of 2", and if one of the factors contains a 2 as a factor, so will the product.

An even number is any number that has '2' as a factor.When you multiply two numbers, you multiply all the factors of both of them.If '2' was a factor of either number, then it's a factor of their product.

No, but it's always an even number.

By definition, every even number has 2 as a factor. That means that, at a minimum, every set of even numbers will have a common factor of 2. The GCF could be higher, of course, but that common factor of 2 will always be there, making the numbers even.

No, two odd numbers cannot have a greatest common factor that is an even number, because no odd number can have an even number as a factor. Any even number multiplied by any other whole number is always an even number.

No, always odd.

No, the GCF of 6 and 7 is 1.

Yes because at least one of the consecutive numbers will be even, and if you times anything by an even number, the answer will always be even

even numbers

Yes.

No.

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