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Even
Integers that are divisible by 2. 14 is even because 14/2 = an integer (7).
Odd
Integers that are not divisible by 2. 15 is not even because 15/2 ≠ an integer (7.5).
Question: Is the number 0 even or odd?

Answer: 0/2 = 0. The result is an integer, so the number 0 is divisible by 2. As a result, the number 0 is even.

Arithmetic Rules
Addition Subtraction
Function Result Function Result
even + even even even - even even
even + odd odd even - odd odd
odd + odd even odd - odd even
Arithmetic Rules
Multiplication
Function Result
even x even even
even x odd even
odd x odd odd
Arithmetic Rules
Division
Function Result
even / even anything (even, odd, or not an integer)
even / odd even or not an integer
odd / even not an integer
odd / odd odd or not an integer
Note:

Division rules are more complicated because an integer answer is not guaranteed. If the result of the division is not an integer, then that result cannot be classified as either even or odd.

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