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Q: What are the rules of multiplying odd and even numbers?

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Every odd number. Multiplying two even numbers gives an even number. Multiplying an odd and an even number gives an even number. Multiplying two odd numbers gives an odd number.

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

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.

The multiples of ODD numbers by ODD numbers are ODD. (e.g. 1 x 3, 3 x 3, 5 x 3) Multiplying any number by an EVEN number produces an EVEN number.

odd * odd = odd answer even * even = even answer odd * even = even answer

The parity rules are: Odd + Odd = Even Even + Even = Even Odd + Even = Odd Even + Odd = Odd So the parity where one number is even is that of the other number. This means that you can go through a list of numbers and ignore all the even numbers. Every PAIR of odd numbers has even parity and by the previous paragraph, even parity can be ignored. So you can pair off odd numbers and ignore them.

All even numbers can be divided by two, while odd numbers can't. Also, an even number plus an even number is always even. An odd number plus an odd number is always even. An even number plus an odd number is always odd.

Look for odd squares. Multiplying odd numbers results in an odd product.

Your answer will always be even

There is no such pattern because there are no even odd numbers. Odd numbers, by definition, are odd and therefore, not even.

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While all prime numbers are odd (except 2), not all odd numbers are prime. 9 for example is an odd number, but you can get it by multiplying 3X3, so it is not prime. Odd numbers are numbers that are not divisible by 2. Prime numbers are numbers that cannot be generated by multiplying 2 whole numbers besides 1 and itself.

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