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Q: Why is the product of an even number and any other number always even?

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No, the product will always be even.

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

yes

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

even

When multiplied together, an odd number and an even number will always produce an odd number. Two consecutive numbers consist of one odd number and one even number, so their product is always an odd number. N-n-n-no! Any number multiplied by an even number yields an even product. Ever;y even number can be expressed as 2*M for some M. If we multiply 2*M by Y, the product is 2*M*Y = 2*(M*Y) which is even. So the right answer is: They don't! The product of two consecutive numbers is always even. Regards, Bill Drissel

Yes, that is true.

No two consecutive numbers have a product that is an even number. Any two consecutive numbers include one odd number and one even number. The product of one odd number and one even number is always an odd number.

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

The product is 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. 2 is a prime number, and any product of 2 and another prime number will be even.

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