The concept of a number being both even and odd may seem contradictory at first, but it can be understood in a different context. In standard mathematical terms, a number cannot be both even and odd at the same time. An even number is defined as any integer that is divisible by 2, while an odd number is not divisible by 2.
However, if we consider the number zero, it can sometimes lead to confusion. Zero is classified as an even number because it can be divided by 2 without a remainder (0 ÷ 2 = 0). Since it does not fit the criteria of being odd, it doesn’t serve as an example of a number that is both. Thus, strictly speaking, no integer can be both even and odd.
In certain theoretical or abstract mathematical discussions, one might play with definitions and concepts, but in standard arithmetic, there is no integer that can be categorized as both even and odd simultaneously.