## Tuesday, 4 March 2014

### Ways to find Factorial of a Number

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 .

#### 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 : Factorial 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);
}
``````

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#### 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 .

Related Post :

#### 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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