# Python Program to find Factorial of a Number

Write a Python program to Find Factorial of a Number using For Loop, While Loop, Functions, and Recursion. The Factorial of a number is the product of all numbers less than or equal to that number & greater than 0. n! = n * (n-1) * (n -2) * …….* 1.

## Python Program to find Factorial of a Number using Math function

The Factorial denoted with the exclamation mark (!) and In this Python program, we are using the built in math module factorial function on the number.

```import math

a = int(input(" Please enter any Integer : "))

ft = math.factorial(a)
print("The Result of %d  = %d" %(a, ft))```
``````Please enter any Integer : 5
The Result of 4 = 120``````

## Python Program to find Factorial of a Number using For Loop

This code allows the user to enter any integer. Using this given value, this Python program finds the Factorial of a number using For Loop.

```number = int(input(" Please enter any Number : "))
fact = 1

for i in range(1, number + 1):
fact = fact * i
print("The factorial of %d  = %d" %(number, fact))```

User entered integer in the above program example is 4. Please refer to math functions, factorial, For Loop, While Loop, and Functions in Python.

Python factorial of a number program First Iteration
i = 1, Fact = 1 and number = 5

Fact = Fact * i;
Fact = 1 * 1 = 1

Second Iteration
i = 2, Fact = 1 and Number = 5
Fact = 1 * 2 = 2

Third Iteration
i = 3, Fact = 2 and Number = 5
Fact = 2 * 3 = 6

Fourth Iteration
i = 4, Fact = 6 and Number = 5
Fact = 6 * 4 = 24

Next, i become 5. So, For loop Terminated.

## Python Factorial program using While Loop

In this Python example, we just replaced the for loop with While Loop to find the factorial of a number.

```value = int(input(" Please enter any Value : "))
fact = 1
i = 1

while(i <= value):
fact = fact * i
i = i + 1

print("The Result of %d  = %d" %(value, fact))```
``````Please enter any Value : 8
The Result of 8 = 40320``````

output 2

``````Please enter any Value : 9
The Result of 9 = 362880``````

## Using Functions

This code is the same as the first example. However, we separated the factorial program logic using the python Functions.

```def calculating(num):
faco = 1

for i in range(1, num + 1):
faco = faco * i

return faco

val = int(input(" Please enter any Value : "))

faco = calculating(val)
print("The Result of %d  = %d" %(val, faco))```
``````Please enter any Value : 5
The Result of 5 = 120``````

output 2

``````Please enter any Value : 6
The Result of 7 = 720``````

## Using Recursion

This code passes the user entered value to the Function. Within this recursive function, this Python program finds the factorial of a number using the recursive function or recursively.

```def factFind(num):
if((num == 0) or (num == 1)):
return 1
else:
return num * factFind(num - 1)

num = int(input(" Please enter any Num : "))

fact = factFind(num)
print("The fact of %d  = %d" %(num, fact))```
``````Please enter any Num : 6
The fact of 6 = 720``````

output 2

``````Please enter any Num : 4
The fact of 4 = 24``````

Within the user-defined function of this program, If Else Statement check whether the integer is Equal to 0 or 1. If the condition is TRUE, then the function returns 1. If the condition is False, the function returns Num * (Num -1) recursively.

User Entered Value = 6.

Fac = num * factFind (num -1);
= 6 * factFind (5)
= 6 * 5 * factFind (4)
means 6 * 5 * 4 * factFind (3)
= 6 * 5 * 4 * 3 * factFind (2)
= 6 * 5 * 4 * 3 * 2 * factFind(1)
Fac = 6 * 5 * 4 * 3 * 2
= 720