# From zero to 16 is all the odd numbers the sum of even numbers?

If this question means "in the interval 0 to 16 inclusive, is the sum of the odd numbers the same as the sum of the even numbers ?" then the answer is no.

The sum of the even numbers is eight more than the sum of the odd ones.

### What number either even or neither odd?

Every integer (whole numbers, including positives, negatives, and zero) is either odd or even. No number is both odd and even. Other numbers, such as fractions that don't reduce to an integer, irrational numbers, and pure imaginary numbers are neither odd nor even. Zero is an even number and is not an odd number.

### When multiplying an odd number by an odd number why is the result odd?

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.