# Write a C program to find a factorial of a given number

1 min 32 sec Basic Factorial of a given number is defined as the product of a given number with its previous number till that number reaches 1. In mathematical representation, factorial is represented by !

Factorial of 5! is

5*4*3*2*1 = 120

## Factorial of a number without using user defined function

```#include
int main()
{
int number = 5,i;
long int factorial;
factorial = 1;
for(i = number; i >= 1; i--)
{
factorial = factorial * i;
printf("
Factorial of %d is = %ld", number, factorial);
return 0;
}
```

## Output

`Factorial of 5 is = 120`

## Factorial of a number using user defined function

```#include
long int factorial(int n)
{
int i;
long int factorial = 1;
if(n==1) return factorial;
for(i = n; i >= 1;i--)
{
factorial = factorial * i;
return factorial;
}
}
int main()
{
int number = 5;
printf("
Factorial of %d is = %ld",number,factorial(number));
return 0;
}```

## Output

`Factorial of 5 is = 120`

## Factorial of a number using recursion

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

int main()
{
int number = 5;
printf("Factorial of %d is = %ld",number,factorial(number));
return 0;
}
```

## Output

`Factorial of 5 is = 120`

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