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Q: Why is odd times odd numbers always odd numbers?

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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

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.

An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Odd times odd is always odd.

The sum of two odd numbers is always even.

That can't be solved. The sum of five odd numbers will always be an odd number.That can't be solved. The sum of five odd numbers will always be an odd number.That can't be solved. The sum of five odd numbers will always be an odd number.That can't be solved. The sum of five odd numbers will always be an odd number.

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

Two odd numbers are always even

Sum is always even, product is always odd.

The product of two odd numbers is always odd.

Sum of two odd numbers are always even, and the sum of 2 even numbers are also even. The sum of an odd number & an even number are always odd.

No, the sum of three odd numbers will always be odd.

The GCF of any set of odd numbers is odd because odd numbers don't have any even factors.

No - adding an odd quantity of odd numbers will always result in an odd number.

The sum of two odd numbers is always even.

The sum or product of three odd numbers will always be odd.

Any set of odd numbers, yes.

No, always odd.

No such numbers exist; the product of two odd numbers is always odd.

All of the odd numbers.

Yes and yes.

Yes.

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

Odd numbers are always higher than even numbers . And even numbers are easier to add than odd numbers for some people .

The product of multiplication results in a number that has all of the factors of the two numbers being multiplied. All even numbers have the prime factor 2. Since no odd number has the factor 2, no product of those numbers can have it. So: - Odd numbers times odd numbers produce odd numbers. - Odd numbers times even numbers produce even numbers. - Even numbers times even numbers produce even numbers.

Not possible ! If you add an odd number of odd numbers together, the result will ALWAYS be odd !