This is very frequent direct or indirect questions, we found To find out factorial of a number . There are Many ways to find out factorial of a number .

It is basically product of all positive number greater than equal to N .

###

you can see There is very simple operation

fact = fact *i where i move from N to 1 by decrementing by 1 in each loop .

####

####

you can see code Is reduce to simple if and else condition .

####

Hope You Enjoy It ... :)

#### Factorial of a number :

N factorial = N! = N*(N-1)*(N-2)*(N-3) ...... *3*2*1

It is basically product of all positive number greater than equal to N .

**Ex:**

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

5!=5*4! =%*4*3*2*1 =120

7!=7*6*5*4*3*2*1 = 5040

**Note :**

**Fa**ctorial of 0 = 0! =1

### Factorial of a Number Using For LOOP :

This is easiest way to found factorial of a Number

you Just have to move for loop from 1 to N or From N to 1 and multiply all term .

###
**C Code :**

```
// www.beginer2cs.blogspot.com
//
```**factorial using for LOOP !!!!**
#include<stdio.h>
main()
{
int **fact=1**,n,i; // Declaration
printf("Enter No.: ");
scanf("%d",&n); //taking input from user
for(i=n;i>=1;i--) //**moving i from n,(n-1),(n-2) .... 1**
{
** fact=fact*i;**
}
printf("\nRequre factorial : %d! = %d",n,fact);
}

you can see There is very simple operation

fact = fact *i where i move from N to 1 by decrementing by 1 in each loop .

#### Python 3.3.0 Code :

```
## WWW.beginer2cs.blogspot.com
##
```**factorial using for loop **
n=int(input("Enter no. : "))
fact=1 ## initializing fact to 1
**for i in range(1,n+1)**: #moving i from 1 to n
**fact=fact*i**
print(fact)

### Factorial of a Number Using While LOOP :

This is basically representation of for loop in term of while loop . concept are same as for FOR loop .

#### C code :

```
// www.beginer2cs.blogspot.com
//
```**factorial using While LOOP !!!! **
#include<stdio.h>
main()
{
int fact=1,n,i=1; // Declaration
printf("Enter No.: ");
scanf("%d",&n); //taking input from user
while(i<=n) //it is basicaly i implement for loop using while loop
{
**fact=fact*i; **
**i++**; //increament i by 1
}
printf("\nRequre factorial : %d! = %d",n,fact);
}

####
**Python3.3.0 Code :**

```
1: ## WWW.beginer2cs.blogspot.com
2: ## factorial using while loop
3:
4: n=int(input("Enter no. : "))
5: fact=1 ## intialising fact to 1
6: i=1
7: while(i<=n):
8:
```**fact=fact*i **
9: i=i+1 #incrementing i by 1
10:
11: print(fact)
12:

### Factorial of a Number Using Recursion :

Recursion is one of very Nice feature of programming language Which can effectively reduce line of Code .

Some time even more efficient but it also has its own limitation . Now that is your Job to find out its limitation . I can give you some hint : concentrate on Computer Architecture .

####
**C code :**

```
// www.beginer2cs.blogspot.com
//
```**factorial using Recursion !!**!!
#include<stdio.h>
**int fact(int n)
{
if(n==0)
return 1; //basically condition to break recursion;
else
return(n*fact(n-1));
} **
main()
{
int n; // Declaration
printf("Enter No.: ");
scanf("%d",&n); //taking input from user
printf("\nRequre factorial : %d! = %d",n,fact(n));
}

you can see code Is reduce to simple if and else condition .

####
**Python3.3.0 Code :**

**Python3.3.0 Code :**

```
## WWW.beginer2cs.blogspot.com
##
```**factorial using Recursion **
**def fact(n):
if(n==0):
return(1) ## break condition for recursion
else:
return(n*fact(n-1)) **
n=int(input("Enter no. : ")) #taking n as input
print(fact(n))

Hope You Enjoy It ... :)

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