Homework #$2$

$48$

Write a program that calculates the factorial of a number given by the user using three different types of loops, i$.$e$.,$

a for loop

a while loop

a do$...$ while loop

Your code must not only calculate the factorial but also display the process steps, e$.$g$.,$ for $5!$ :

$1**2=2,2**3=6,6**4=24,24**5=120$

Make sure that you check the given number to be a positive integer not very big or else the result cannot fit in a variable of integer type $($int$).$ You can use any method to determine the maximum input number.