Before going to the program first let us understand what is a Factorial of a Number?

Factorial of a Number:

                  The factorial of a Number n, denoted by n! , is the product of all positive integers less than or equal to n.

The value of 0! is 1 according to the convention for an empty product.

For example,

4! = 4 * 3 * 2 * 1 = 24

Program code for Factorial of a Number in C++:

#include<iostream.h>
#include<conio.h>

void main()
{
    int n,i,f=1;
    clrscr();
    
    cout<<" Enter The Number:";
    cin>>n;
    
    //LOOP TO CALCULATE THE FACTORIAL OF A NUMBER
    for(i=1;i<=n;i++)
    {
        f=f*i;
    }
    
    cout" The Factorial of "<<n<<" is "<<f;
    getch();
}

Related: Factorial of a Number in C using For Loop

Working:

• First the computer reads the number to find the factorial of the number from the user.
• Then using for loop the value of ‘i’ is multiplied with the value of ‘f’.
• The loop continues till the value of ‘n’.Finally the factorial value of the given number is printed.

Step by Step working of the above Program Code:

Let us assume that the number entered by the user is 4.

1. It assigns the value of n=4 , i=1 , f=1
2. Then the loop continues till the condition of the for loop is true.

2.1.   i<=n    (1<=4) ,  for loop condition is true.

f=f*i    (f=1*1)    So  f=1

i++      (i=i+1)    So  i=2

2.2.   i<=n    (2<=4) ,  for loop condition is true.

f=f*i    (f=1*2)    So  f=2

i++      (i=i+1)    So  i=3

2.3.   i<=n    (3<=4) ,  for loop condition is true.

f=f*i    (f=2*3)    So  f=6

i++      (i=i+1)    So  i=4

2.4.   i<=n    (4<=4) ,  for loop condition is true.

f=f*i    (f=6*4)    So  f=24

i++       (i=i+1)    So  i=5

2.5.   i<=n    (5<=4) , for loop condition is true.

It comes out of the for loop.

3. Finally it prints as given below

The Factorial of 4 is 24

4. Thus the program execution is completed.

Output:

TO DOWNLOAD THE PROGRAM CODE : CLICK HERE