# factorial() in Python

• Difficulty Level : Easy
• Last Updated : 11 Oct, 2017

Not many people know, but python offers a direct function that can compute the factorial of a number without writing the whole code for computing factorial.

Naive method to compute factorial

 `# Python code to demonstrate naive method``# to compute factorial``n ``=` `23``fact ``=` `1`` ` `for` `i ``in` `range``(``1``,n``+``1``):``    ``fact ``=` `fact ``*` `i``     ` `print` `(``"The factorial of 23 is : "``,end``=``"")``print` `(fact)`

Output :

```The factorial of 23 is : 25852016738884976640000
```

Using math.factorial()

This method is defined in “math” module of python. Because it has C type internal implementation, it is fast.

```math.factorial(x)
Parameters :
x : The number whose factorial has to be computed.
Return value :
Returns the factorial of desired number.
Exceptions :
Raises Value error if number is negative or non-integral.
```

 `# Python code to demonstrate math.factorial()``import` `math`` ` `print` `(``"The factorial of 23 is : "``, end``=``"")``print` `(math.factorial(``23``))`

Output :

```The factorial of 23 is : 25852016738884976640000
```

Exceptions in math.factorial()

• If give number is Negative :

 `# Python code to demonstrate math.factorial()``# Exceptions ( negative number )`` ` `import` `math`` ` `print` `(``"The factorial of -5 is : "``,end``=``"")`` ` `# raises exception``print` `(math.factorial(``-``5``))`

Output :

```The factorial of -5 is :
```

Runtime Error :

```Traceback (most recent call last):
File "/home/f29a45b132fac802d76b5817dfaeb137.py", line 9, in
print (math.factorial(-5))
ValueError: factorial() not defined for negative values
```
• If given number is Non – Integral Value :

 `# Python code to demonstrate math.factorial()``# Exceptions ( Non-Integral number )`` ` `import` `math`` ` `print` `(``"The factorial of 5.6 is : "``,end``=``"")`` ` `# raises exception``print` `(math.factorial(``5.6``))`

Output :

```The factorial of 5.6 is :
```

Runtime Error :

```Traceback (most recent call last):