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,  is an even number, because , and  is an integer. An even number may be either a negative integer like -16, a positive integer like 20, or zero.

 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  is an even number, we can write this as , which means " divides ".

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,  is an even negative number. Also,  is an even number, because .

Related pages

 Parity (mathematics)
 Odd number

Category:Numbers
Category:Number theory
Category:Arithmetics