Problem 7

Write a program to find the factorial of an integer n, defined as

n ! = n (n-1) (n-2) (n-3) .. (2) (1) (n = 1, 2, 3, .)

Also, 0! = 1

The program should prompt you for the input n and Use a for loop to do the repeated multiplication. The program should also work for n=0.

Include an error-check to reject negative values of n.

Format the result so that the value of n! displays all the integer digits. Otherwise you will see round-off when n gets large enough.

Show the result for several values of n (including n=0), and compare to MATLABs built-in function factorial(n).