What Is An Even Number?
An even number is an integer which is evenly divisible by two. This means that if the integer is divided by 2, it yields no remainder. Zero is an even number because zero divided by two equals zero. Even numbers can be either positive or negative. You can tell if any decimal number is an even number if its final digit is an even number. An integer that is not an even number is an odd number.
Parity is a mathematical term that describes the property of an integer's inclusion in one of two categories: even or odd. An integer is even if it is evenly divisible by two and odd if it is not even. For example, 6 is even because there is no remainder when dividing it by 2. By contrast, 3, 5, 7, 21 leave a remainder of 1 when divided by 2. A formal definition of an even number is that it is an integer of the form n = 2k, where k is an integer. It can then be shown that an odd number is an integer of the form n = 2k + 1.