# Program To Find Factorial Of A Number

Prashant | Thu, 04 Jun, 2020 | 324

## Program to find factorial of a number

Finding factorial of a number is a really east task but when it comes to programming we have certain limitations like time limit and memory limit, so how do we solve it ?

We will be telling you 3 diffrent ways to do it

1. Using normal function
2. Using well defined function
3. Using recursion

What is factorial?
Factorial is the product of an integer with it's all below integer till 1. In mathematic representation factorial represents by ! sign.

For Example:
Factorial 5 is:
5! = 120 [That is equivalent to 5*4*3*2*1 =120]

## Factorial program in C

### Simple program - without using User Define Function

``````#include <stdio.h>

int main()
{
int num,i;
long int fact;

printf("Enter an integer number: ");
scanf("%d",&num);

/*product of numbers from num to 1*/
fact=1;
for(i=num; i>=1; i--)
fact=fact*i;

printf("\nFactorial of %d is = %ld",num,fact);

return 0;
}``````

Output

```Enter an integer number: 7
Factorial of 7 is = 5040```

### User Define Function

``````#include <stdio.h>

/* function : factorial, to find factorial of a given number*/

long int factorial(int n)
{
int i;
long int fact=1;

if(n==1) return fact;

for(i=n;i>=1;i--)
fact= fact * i;

return fact;
}

int main()
{
int num;

printf("Enter an integer number :");
scanf("%d",&num);

printf("\nFactorial of %d is = %ld",num,factorial(num));

return 0;
}``````

Output

```Enter an integer number: 7
Factorial of 7 is = 5040.```

### Using Recursion

``````long int factorial(int n)
{
if(n==1)    return 1;
return n*factorial(n-1);
}``````

Logic behind to implement these programs

• Variables for program - int to store number, long int to store factorial because factorial value is higher than integer value.
• Now, input the number.
• Run a loop from num to 1 and multiply the numbers in a variable called fact.
• And the fact will be the factorial after executing the loop.

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