Write a program to find factorial of a number using recursion

Write a program to find factorial of a number using recursion
C program to find factorial of a number using recursion

In this program, you will learn to find the factorial of a non-negative integer entered by the user using 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.

  •  Program:

#include<stdio.h>
int fact(int);
int main()
{
   int num;
   printf("Enter a positive integer: ");
   scanf("%d",&num);
   printf("Factorial of %d = %ld", num, fact(num));
   return 0;
}

int fact(int num)
{
   if (num)
      return (num*fact(num-1));
   else
      return 1;
}

  •  Output:

Enter a positive integer: 6 Factorial of 6 = 720

  •  Explain:

Suppose the user entered 6.

Initially, fact() is called from main() with 6 passed as an argument.

Then, 5 is passed to fact() 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 and the factorial is returned ultimately to the main() function.

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