An odd integer is not divisible by two; equivalently, it has the form .
An integer is even when it is divisible by two.
An integer is odd when it is not divisible by two.
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In mathematics, "parity" refers to the property of an integer's evenness or oddness. Specifically, an integer is said to be **even** if it is divisible by 2 (i.e., it can be expressed in the form \(2k\) where \(k\) is an integer), and it is **odd** if it is not divisible by 2 (i.e., it can be expressed in the form \(2k + 1\)).