Even number
An even number is an integer that can be divided by two and remain an integer or has no 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.
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
