BigInteger to the rescue

Java's Math library provides BigInteger that can hold any kind of largest number (no idea how BigInteger breaks the barrier of 64 bit and I am looking for an answer)

import java.math.*;

class bigfactorial {
    
public static BigInteger compute(int num) 
    { 
   if(num < 0) 
   { throw new IllegalArgumentException("negative number passed for factorial computation");}
   
   if(num < 2) 
   {return BigInteger.ONE;} 
   
   BigInteger factorial = BigInteger.ONE; 
   
   while(num > 1) 
   {  factorial = factorial.multiply(BigInteger.valueOf(num--)); }
   return factorial; 
    }
    
}

public class biginteger {

public static void main(String args[]){
    for (int i=2; i<25;i++)
    System.out.println("The " + i + " ! is: " 
    + bigfactorial.compute(i));
    }

}