Even number
An even number is an integer that can be divided by two and remain an integer or has no not real remainder. For example, [math]\displaystyle{ 16 }[/math] is an even number, because [math]\displaystyle{ 16\div 2=8 }[/math], and [math]\displaystyle{ 8 }[/math] is an integer. An even number may be either a negative integer like -16, a positive like 20 or Zero Integer.
Definition
If an even number is divided by two, the result is another integer. Another way to say this is that even numbers are divisible by two. If [math]\displaystyle{ n }[/math] is an even number, we can write this as [math]\displaystyle{ 2 \mid n }[/math], which means "[math]\displaystyle{ 2 }[/math] divides [math]\displaystyle{ n }[/math]".
An integer that is not an even number is an odd number. The quality of being odd or even is called the parity of a number.
Since even numbers are integers, negative numbers can be even. For example, [math]\displaystyle{ -16 }[/math] is an even negative number. Also, [math]\displaystyle{ 0 }[/math] is an even number, because [math]\displaystyle{ 0\div 2 = 0 }[/math].
Even Number Media
Cuisenaire rods: 5 (yellow) cannot be evenly divided in 2 (red) by any 2 rods of the same color/length, while 6 (dark green) can be evenly divided in 2 by 3 (lime green).
Rubik's Revenge in solved state