I need this in C++

Using a byte variable, what is the largest factorial that can be calculated. A factorial is simply n! = 1 * 2 * 3 * 4 ... * (n-2) * (n-1) * n For instance, 1! = 1, 2! = 2, 3! = 6, 4! = 24, 5! = 120 etc.... b) What would be the largest factorial using short, int, long, float, double, etc... Use all the primitive data types that you are familiar with signed as well as unsigned.