Question
Mon January 30, 2012 By: Anirudh Venkat

the set of even numbers belongs to set of natural no.s or integers.

Expert Reply
Mon January 30, 2012
An even number is an integer of the form , where is an integer. The even numbers are therefore ..., , , 0, 2, 4, 6, 8, 10, ... . Since the even numbers are integrally divisible by two, the congruence holds for even . An even number for which also holds is called a singly even number, while an even number for which is called a doubly even number. An integer which is not even is called an odd number.

The oddness of a number is called its parity, so an odd number has parity 1, while an even number has parity 0.

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