Is the product of an even number and an odd number an even number?

The product of an even and an odd number is an even number.

Why is the product of 2 times any number always even?

EVEN NUMBERS can be looked at as any number (call it “n”), multiplied by 2. Therefore, all even numbers can be described as 2n. Therefore, any even number plus any other even number will always equal an even number (as the answer you get will always be some number multiplied by two).

What can you say about the product if one is odd and one is even?

the product of an odd number and an even number is always odd.

Can an odd number have an even factor?

Yes, odd numbers other than 1 can be a factor for even number. For example, 3 is an odd number and 6 is a even number. But 3 is a factor of 6. Originally Answered: Can an odd number (other then 1) be a factor of an even number?

Why is an odd number times an odd number always odd?

: Since is odd, is also odd, since and odd number multiplied by an odd number yields an odd product. Since is also odd, multiplying it by will again yield an odd product, so this expression is always odd.

Why is the sum of odd numbers even?

The sum of two odd integers is even. Since (a+b+1) is an integer, m+n must be even. If n is a positive integer, then n is even iff 3n2+8 is even. Proof: We must show that n is even  3n2+8 is even, and that 3n2+8 is even  n is even.

Can the product of two odd numbers be even?

When two odd numbers are multiplied together, the result is always an odd number. Thus (n + 1)(m + 1) must be an odd number. Because n and m are even, when we multiply two even numbers together, we always get an even number.

Can the product of an odd and even number be odd?

Do even numbers always have even factors?

No, factors of an even number are not always even. There is a necessity that at least one of the factors be 2 or the number cannot be even. That said, it is sufficient to show one counter example to the premise posed in the question.

How do you find odd and even factors?

To find an odd factor, you need to exclude the even prime factor 2. whereas, the prime factorization of 135 does not contain the prime factor 2, so 135 has no even factors, all factors are odd. Thus, the number of odd factors depends on the prime factor 2 of prime factorization of any number.