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Yes!

Let's think about it. If we let x = any odd number. Then any other odd number could be written as x+2y or in other words x+(some multiple of 2 let's say 2y).

If we add the original odd number x, and the new odd number x+2y then we get

x + x + 2y, which is 2x + 2y! Using a little bit of factoring we get 2(x + y), which implies that we are multiplying by 2 which will always result in an even number.

Why does multiplying by 2 imply that the number is even? Well that would mean that the final product is divisible by 2, which would make that number by definition even.

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Q: Is the sum of two odd numbers always going to be even?
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Is sum of odd numbers always even?

The sum of two odd numbers is always even; the sum of three odd numbers is always odd; the sum of four odd numbers is always even; the sum of five odd numbers is always odd; etc


Is the sum of two odd numbers is always odd?

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Is the GCF of any two even numbers is always even?

The GCF of any two odd numbers is always odd. The GCF of any two even numbers is always even. The GCF of an odd and an even number is always odd.


Is the sum of 2 odd numbers always even?

Two odd numbers are always even


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The product of two odd numbers is always odd.


Will the sum of two odd numbers be even or odd?

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What happens when you add an odd number and an odd number?

Two odd numbers always sum to an even number. Always. Two even numbers always sum to an even number, and an odd number and an even number always sum to an odd number.


Why is the sum of three odd numbers always odd?

Because the sum of two odd numbers is always even and the sum of that even number plus another odd number is always odd.


Is the gcf of all odd numbers always odd and is the gcf of all even numbers always even?

Yes and yes.


When you multiply an odd number by an odd number is the answer always odd?

Yes - while multiplying odd numbers by even numbers will always produce an even result.


When you add to even numbers is the answer always even?

Yes. Even + Even = Even, Odd + Odd = Even and Even + Odd or Odd + Even = Odd


What is the difference from even numbers and odd numbers?

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