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Sunday, December 15, 2013

Program Calculate Factorial of a Number

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Today, we will learn the real logic behind C++ Program Factorial of a Given Number, in details.
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,
    5! = 5 x 4 x 3 x 2 x 1 = 120
Note: The value of 0! is 1.

find factorial of a number C++ Program calculate Factorial of given number C++ program
C++ Program Factorial of given number input by user at run time
/*
Write a C++ Program to input a positive number
Calculate and Display Factorial of this number
by For Loop.


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*/
#include<iostream.h>

#include<conio.h>

void main()
{

  clrscr();

  int number, counter;
  long int factorial;

  cout<<"\n Enter the Number = ";

  cin>>number;

  factorial = 1;
  for (counter = 1; counter <= number; counter++)
           factorial = factorial * counter;

  cout<<"\n\n ----------- Results ------------";

  cout<<"\n\n The Factorial of the number "<<number<<"\n is "<<factorial;

  getch();

}
C++ Program to find Factorial of given Number
C++ Program to find Factorial of given Number


Explain Logic of The Calculate Factorial of a Number, C++ Program

In the following lines, the above mentioned factorial program is further explained with the help of comments / use of documentation in the factorial program in C++

How Factorial of a Number in C++ Program Works:

#include<iostream.h>  //include header files, iostream is for cin, cout

#include<conio.h>   //include header files, conio.h is for clrscr();

void main()
{

  clrscr();   //clear the output screen

  int number, counter;   // declare variable number for input, 
                                      //counter is loop control counter variable
  long int factorial;       // factorial may be a big number so declared as long

  cout<<"\n Enter the Number = ";    // print message

  cin>>number;       // input number

  factorial = 1;         // intialize factorial to one

 // now since 3!=1 x 2 x 3
// and n! = 1 x 2 x3 ..... x n, therfore factorial calculaton loop may be from 1 to n
// so that we can multiply all numbers from 1 to n 
// and place the result of these products in factorial
  for (counter = 1; counter <= number; counter++)
           factorial = factorial * counter;

  cout<<"\n\n ----------- Results ------------";  //print message

// print result of factorial program
  cout<<"\n\n The Factorial of the number "<<number<<"\n is "<<factorial;

  getch(); // to stay outpput screen as long as we press a key

}    // end

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You can find calculate factorial of a number program with while loop here
You can find calculate factorial of a number program with do while loop here
You can find calculate factorial of a number program using Recursion ( Recursive Factorial Function )


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