Every odd or even number is a rational number, and
there are a lot more rational numbers besides those.
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The concepts "even" and "odd" apply to whole numbers. They don't make sense for other classes of numbers, such as rational numbers, real numbers, complex numbers, etc.
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 all odd numbers are odd and even. Odd x odd = odd. Odd x even = even. Since odd and even numbers alternate, the multiples will alternate as well.
Some even numbers have more factors than some odd numbers and some odd numbers have more factors than some even numbers. As a group, even numbers have more factors than odd numbers.
Some even numbers have more factors than some odd numbers and some odd numbers have more factors than some even numbers. As a group, even numbers have more factors than odd numbers.