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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.

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โˆ™ 2013-02-11 22:33:40
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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

When you multiply any number of even numbers will the product always be odd?

No, the product will always be even.


Will the product of two consecutive integers be odd or even?

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


Is the product of an odd number always even?

yes


How do you use inductive reasoning to prove the product of an odd integer and an even integer will always be even?

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


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

even


Why is the product of two consecutive numbers is always odd?

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


When a whole number is multiplied by 4 the product will always be an even number?

Yes, that is true.


What two consecutive number have a product of 324?

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.


Will the product of 3 consecutive numbers always be even?

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


What is the product if any number multiply by even number?

The product is even.


Is even number times even number 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.


Is the product for any two prime numbers always odd?

No. 2 is a prime number, and any product of 2 and another prime number will be even.

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