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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.

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Q: When multiplying an odd number by an odd number why is the result odd?
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Related questions

What even number and odd number equal a even number?

Your question is incomplete. Adding an even number with an odd number will always result in an odd number. Multiplying an even number with an odd number will always result in an even number.


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

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Multiplying a positive and negative number will give a negative result. The result is a negative number.


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