39.C Program to Find Factorial of a Number Using Recursion

C Program to Find Factorial of a Number Using Recursion

Example to find factorial of a non-negative integer (entered by the user) using recursion.

To understand this example, you should have the knowledge of following C programming topics:

• C Programming Functions
• C Programming User-defined functions
• C Programming Recursion

The factorial of a positive number n is given by:

factorial of n (n!) = 1*2*3*4....n

The factorial of a negative number doesn't exist. And the factorial of 0 is 1.

You will learn to find the factorial of a number using recursion in this example. Visit this page to learn, how you can find the factorial of a number using loop.

Example: Factorial of a Number Using Recursion

#include <stdio.h>
long int multiplyNumbers(int n);

int main()
{
    int n;
    printf("Enter a positive integer: ");
    scanf("%d", &n);
    printf("Factorial of %d = %ld", n, multiplyNumbers(n));
    return 0;
}
long int multiplyNumbers(int n)
{
    if (n >= 1)
        return n*multiplyNumbers(n-1);
    else
        return 1;
}

Output

Enter a positive integer: 6
Factorial of 6 = 720

Suppose the user entered 6.

Initially, the multiplyNumbers() is called from the main() function with 6 passed as an argument.

Then, 5 is passed to the multiplyNumbers() function from the same function (recursive call). In each recursive call, the value of argument n is decreased by 1.

When the value of n is less than 1, there is no recursive call.

Check out these related examples:

• C Program to Find Factorial of a Number
• C Program to Check Whether a Number is Positive or Negative
• C Program to Find the Sum of Natural Numbers using Recursion