The factorial of a number is the product of all the integers from 1 to that number.

For example, the factorial of 6 is `1*2*3*4*5*6 = 720`

. Factorial is not defined for negative numbers, and the factorial of zero is one, `0! = 1`

.

## Factorial of a Number using Loop

```
# Python program to find the factorial of a number provided by the user.
# change the value for a different result
num = 7
# To take input from the user
#num = int(input("Enter a number: "))
factorial = 1
# check if the number is negative, positive or zero
if num < 0:
print("Sorry, factorial does not exist for negative numbers")
elif num == 0:
print("The factorial of 0 is 1")
else:
for i in range(1,num + 1):
factorial = factorial*i
print("The factorial of",num,"is",factorial)
```

**Output**

The factorial of 7 is 5040

**Note:** To test the program for a different number, change the value of `num`

.

Here, the number whose factorial is to be found is stored in `num`

, and we check if the number is negative, zero or positive using `if...elif...else`

statement. If the number is positive, we use `for`

loop and range() function to calculate the factorial.

iteration |
factorial*i (returned value) |

i = 1 | 1 * 1 = 1 |

i = 2 | 1 * 2 = 2 |

i = 3 | 2 * 3 = 6 |

i = 4 | 6 * 4 = 24 |

i = 5 | 24 * 5 = 120 |

i = 6 | 120 * 6 = 720 |

i = 7 | 720 * 7 = 5040 |

## Factorial of a Number using Recursion

```
# Python program to find the factorial of a number provided by the user
# using recursion
def factorial(x):
"""This is a recursive function
to find the factorial of an integer"""
if x == 1:
return 1
else:
# recursive call to the function
return (x * factorial(x-1))
# change the value for a different result
num = 7
# to take input from the user
# num = int(input("Enter a number: "))
# call the factorial function
result = factorial(num)
print("The factorial of", num, "is", result)
```

In the above example, `factorial()`

is a recursive function that calls itself. Here, the function will recursively call itself by decreasing the value of the `x`.

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