# Factorial Using Loop Example Program In C++

## Definition

In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. For example,

``6! = 6 x 5 x 4 x 3 x 2 x 1 = 720``

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

## For Loop Syntax

``````//common
for (initialization; condition; increment/decrement)
{

}

//for Factorial
for (int counter = 1; counter <= n; counter++) {
fact = fact * counter;
}``````

## Factorial Using Loop Example Program

``````/*  Example Program For Factorial Value Using For Loop In C++
little drops @ thiyagaraaj.com
Coded By: THIYAGARAAJ MP             */

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

using namespace std;

int main()
{
// Variable Declaration
int counter, n, fact = 1;
// Get Input Value
cout<<"Enter the Number :";
cin>>n;
//for Loop Block
for (int counter = 1; counter <= n; counter++)
{
fact = fact * counter;
}
cout<<n<<" Factorial Value Is "<<fact;
// Wait For Output Screen
getch();
return 0;
}``````

## Sample Output

``````Enter the Number :6
6 Factorial Value Is 720``````