# Python Program to Determine Whether a Given Number is Even or Odd Recursively

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Recursion:

Recursion is the process by which a function calls itself directly or indirectly, and the associated function is known as a recursive function. Certain issues can be addressed fairly easily using a recursive approach. Towers of Hanoi (TOH), Inorder /Preorder/Postorder Tree Traversals, DFS of Graph, and other analogous issues are examples.

Given a number the task is to check whether the given number is even number or odd number using recursive approach in Python.

Examples:

Example1:

Input:

Enter some random number = 215

Output:

The given number 215 is odd

Example2:

Input:

Enter some random number = 628

Output:

The given number 628 is even

## Program to Determine Whether a Given Number is Even or Odd Recursively

Below are the ways to check whether the given number is even or odd recursively :

### 1)Using Recursion(Static Input)

Approach:

• Give the number as static input.
• Pass the number to a recursive function as an argument.
• Define the base condition as an integer less than two.
• Otherwise, use the number -2 to invoke the function recursively.
• Then return the result and determine whether the number is even or odd.
• The final result should be printed.
• Exit of program.

Below is the implementation:

# function which returns true if the given number
# is evennum or oddnum using recursoive approach

def checkPrimeRecursion(numb):
# Defining the base condition as an integer less than two.
if (numb < 2):
# Then return the result and determine whether the number is even or odd.
return (numb % 2 == 0)
# Otherwise, use the number -2 to invoke the function recursively.
return (checkPrimeRecursion(numb - 2))

# Give the number as static input.
numb = 729
# passing the given number to checkPrimeRecursion
# if the returned value is true then it is even number
if(checkPrimeRecursion(numb)):
print("The given number", numb, "is even")
# if the returned value is false then it is odd number
else:
print("The given number", numb, "is odd")


Output:

The given number 729 is odd

Explanation:

• User must give the number as static input and store it in  a variable.
• A recursive function is given the number as an argument.
• The basic requirement is that the number be less than two.
• Otherwise, the function is called recursively with a number less than two.
• The outcome is returned, and an if statement is used to determine whether the integer is odd or even.
• The final result is printed.

### 2)Using Recursion(User Input)

Approach:

• Enter some random number as user input using int(input()) function.
• Pass the number to a recursive function as an argument.
• Define the base condition as an integer less than two.
• Otherwise, use the number -2 to invoke the function recursively.
• Then return the result and determine whether the number is even or odd.
• The final result should be printed.
• Exit of program.

Below is the implementation:

# function which returns true if the given number
# is evennum or oddnum using recursoive approach

def checkPrimeRecursion(numb):
# Defining the base condition as an integer less than two.
if (numb < 2):
# Then return the result and determine whether the number is even or odd.
return (numb % 2 == 0)
# Otherwise, use the number -2 to invoke the function recursively.
return (checkPrimeRecursion(numb - 2))

# Give the number as static input.
numb = int(input('Enter some random number = '))
# passing the given number to checkPrimeRecursion
# if the returned value is true then it is even number
if(checkPrimeRecursion(numb)):
print("The given number", numb, "is even")
# if the returned value is false then it is odd number
else:
print("The given number", numb, "is odd")


Output:

Enter some random number = 215
The given number 215 is odd

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