An even integer is any integer which is a multiple of The even integers are ; specifically, note that is even. Every even integer can be written in the form for some unique integer .
The sum and difference of any two even integers is even, and the product of any two even integers is not only even but is also divisible by The sum of an even integer and an odd integer is odd.
Since every even integer is divisible by is the only prime even integer.
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