**What You'll Learn?**

In mathematics, **parity** is the property of an integer of whether it is **Even Numbers and Odd Numbers**. An integer’s parity is even if it is divisible by two with no remainders left and its parity is odd if it isn’t; that is, its remainder is 1.Even Numbers and Odd Numbers have opposite parities

**Even Numbers:**

Any number which is divided by 2 and gives a remainder of 0 is called an even number.

**Odd Numbers**:

Any number which is not divisible by 2 and the remainder in the case of an odd number is always “1”.

*The property by which we classify an integer in math as even or odd is also known as parity.

**Identifying Even Numbers and Odd Numbers**

1. By comprehending the number at “ones” place

- Here, we analyze the number at “ones” place in an integer to check if the number is even or odd.

- All the numbers ending with 1,3,5,7 and 9 are odd numbers. For example, numbers such as 11, 23, 35, 47 etc. are odd numbers.

- All the numbers ending with 0,2,4,6 and 8 are even numbers. For example, numbers such as 14, 26, 32, 40 and 88 are even numbers.

2. By grouping

- As two equal groups

If we divide a number into two groups with an equal number of elements in each, then the number is an even number. In the case of odd numbers, we get a remainder of 1 while grouping.

- As groups of “two” in each

For a number, if it forms multiple groups of “two” without any remainder, it is an even number. In the case of a remainder, a number is an odd number.

**Properties of Even and Odd Numbers:**

The various properties of even and odd numbers:

- The sum of two even numbers is an even number

- The sum of two odd numbers is an even number
- The sum of even and an odd number is an odd number
- Even number is divisible by 2, and leaves the remainder 0
- An odd number is not completely divisible by 2, and leaves the remainder 1.
- An even number ends with 0, 2, 4, 6, and 8
- An odd number ends with 1, 3, 5, 7, and 9

Also Read: Difference Between Prime Numbers and Composite Numbers