# Python Program to Check if a Number is Odd or Even

Given a number and our task is to check number is Even or Odd using Python. Those numbers which are completely divisible by 2 or give 0 as the remainder are known as even number and those that are not or gives a remainder other than 0 are known as odd numbers.

Example:

`Input: 2Output: Even numberInput: 41Output: Odd Number`

## Check Even or Odd Number using the modulo operator in Python

In this method, we use the modulo operator (%) to check if the number is even or odd in Python. The Modulo operator returns the remainder when divided by any number so, we will evaluate the x%2, and if the result is 0 a number is even otherwise it is an odd number.

## Python3

 `x ``=` `24``  ` `if` `x ``%` `24` `=``=` `0``:``    ``print``(x,``"Is Even Number"``)``else``:``    ``print``(x, ``"Is Odd Number"``)``    ` `y ``=` `19``  ` `if` `y ``%` `19` `=``=` `0``:``    ``print``(y,``"Is Even Number"``)``else``:``    ``print``(y, ``"Is Odd Number"``)`

Output
```24 Is Even Number
19 Is Even Number

```

Time Complexity : O(1)
Auxiliary Space : O(1)

## Check Even or Odd Numbers using recursion in Python

We use the concept of getting the remainder without using the modulus operator by subtracting the number by 2. In the below code, we are calling the recursion function by subtracting the number by 2. In the base condition, we are checking whether the n becomes equal to 1 or 0. If n==1 it is odd and if n==0 number is even.

## Python3

 `# defining the function having the one parameter as input``def` `evenOdd(n):``    ` `    ``# if remainder is 0 then num is even``    ``if``(n``=``=``0``):``        ``return` `True``      ` `    ``# if remainder is 1 then num is odd``    ``elif``(n``=``=``1``):``        ``return` `False``    ``else``:``        ``return` `evenOdd(n``-``2``)``      ` `num``=``33` `if``(evenOdd(num)):``    ``print``(num,``"num is even"``)``else``:``    ``print``(num,``"num is odd"``)`

Output
```33 num is odd

```

Time Complexity: O(n/2)
Auxiliary Space: O(1)

## Check Even or Odd Numbers using & operator in Python

If we observe the binary representation of a number we will know that the rightmost bit of every odd number is 1 for even numbers it is 0. Bitwise AND (&) operator gives 1 only for (1&1) otherwise it gives 0. So, knowing this we are going to evaluate the bitwise AND of a number with 1 and if the result is 1 number is odd, and if it is 0 number is even. For example, 5 & 1 are evaluated as given below.

`   1 0 1 - 5     & 0 0 1 - 1      -----   0 0 1 - 1       -----`

## Python3

 `# defining the function having``# the one parameter as input` `def` `evenOdd(n):` `  ``# if n&1 == 0, then num is even``  ``if` `n & ``1``:``    ``return` `False``  ``# if n&1 == 1, then num is odd``  ``else``:``    ``return` `True`  `# Input by geeks``num ``=` `3``if``(evenOdd(num)):``    ``print``(num, ``"num is even"``)``else``:``    ``print``(num, ``"num is odd"``)`

Output
```3 num is odd

```

Time Complexity : O(1)
Auxiliary Space : O(1)

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