The following code used for finding the factorial of a given number but is not able to find a factorial of 100 but works fine with numbers smaller like 5!

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C

This code finds the factorial for a given number but this code is only able to find the factorial for only smaller numbers, when larger numbers like 100 or more it shows zero and the output is like "The factorial of 100 is 0", could you please fix this code for me.

What I have tried:

#include<stdio.h>
unsigned long long factorial(unsigned long long x);
int main(void)
{
     unsigned long long a=100, fact;
     
     fact= factorial(a);
     
     printf("the factorial of %llu is %llu",a,fact);
}

unsigned long long factorial(unsigned long long x)
{
            unsigned long long f;
	if(x==1)
	return (1);
	
	else
	
	f= x*factorial(x-1);
	return (f);
}