Even integer

Revision as of 16:45, 17 January 2023 by Quantumz (talk | contribs) (The final sentence was not well done. It was unclear, and the given function did not work for any values but nonnegative integers. I think I fixed it, but this is my first edit, and I am not sure.)
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An even integer is any integer which is a multiple of $2.$ The even integers are $\ldots, -4, -2, 0, 2, 4, \ldots$; specifically, note that $0$ is even. Every even integer can be written in the form $2k$ for some unique integer $k$.

The sum and difference of any two integers with the same parity is even. The product of any two even integers is not only even but is also divisible by $4.$ The sum of an even integer and an odd integer is odd.

Since every even integer is divisible by $2,$ $2$ is the only prime even integer.

The number of even integers are in the interval $(0, x)$ is equal to $\left\lfloor\frac {|x|}{2}\right\rfloor+1$

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