Multiplying two odds together gives an odd result
Otherwise multiplying one even and one odd, or two even numbers together gives an even result.
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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.
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.
There is no such pattern because there are no even odd numbers. Odd numbers, by definition, are odd and therefore, not even.
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.
The answer depends on how many odd numbers are being added together: even numbers make no difference.If the count of odd numbers is odd then the total is odd, andff the count of odd numbers is even then the total is even.