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
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
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.
To learn about the working of recursion, visit Python recursion.