In this tutorial, we are going to learn writing python program to find the factorial of the number using recursion method. We will take a number from the users as and input and our program will print the factorial as an output.

## Problem Statement

For any numbers that are input by the user, we have to calculate the factorial of that numbers.

**For example**

**Case1:** If the user input the 5.

then the output should be 120 ( 1*2*3*4*5= 120).

**Case2:** If the user input the 6.

then the output should be 720 (1*2*3*4*5*6 =720).

## What is Factorial of a number?

The factorial of a number is the multiplication of each and every number till the given number except 0.

**For example:**

**Case 1**: factorial of number 4 is the multiplication of every number till number 4, i.e. 1*2*3*4

**Case 2**: factorial of number 3 is the multiplication of every number till number 3, i.e. 1*2*3

**NOTE:**

*The factorial of 0 is 1**The factorial of any negative number is not defined.**The factorial only exits for whole numbers.*

## What is recursion?

Recursion is a method that defines something in terms of itself, which means it is a process in which a function calls itself. A complete function can be split down into various sub-parts in recursion. It makes code look simple and compact. It is also defined as the process of defining a program or problem in terms of itself.

Let’s have a look at the simple diagram that explains the working of recursion.

## Our logic to find factorial of a number using recursion

- Our program will take an integer input from the user which should be a whole number.
- If the number input is negative then print ‘The factorial can’t be calculated’.
- Then use
**fact(num)**user-defined recursive function that will return the factorial of the given number i.e. num.

Let’s understand through a diagram how our recursive function will work on input 7.

## Algorithm to find factorial of a number using recursion

Step 1: Start

Step 2: take input from the user for finding the factorial.

Step 3: Create a variable ‘factorial’ and assign the value 1.

Step 4: if(number<0):

print ‘cannot be calculated.

elif ( number == 1):

print 1

else:

for i in range(1, number+1):

factorial*=i

Step 5: print factorial

Step 7: Stop

## Python Program to find factorial of a number using recursion

**Output 1:**

**Explanation:**

**Output 2:**

**Explanation:**