Please use python codes Write a program to calculate the factorial of a positive integer input by the user. Recall that the factorial function is given by x! = x(x 1)(x 2)...(2)(1) so that 1! = 1,...

Write a program to calculate the factorial of a positive integer

input by the user. Recall that the factorial function is given by

x! = x(x – 1)(x – 2)...(2)(1) so that 1! = 1, 2! = 2, 3! = 6, 4! = 24,

5! = 120, ...

(a) Write the factorial function using a Python while loop.

(b) Write the factorial function using a Python for loop.

Check your programs to make sure they work for 1, 2, 3, 5, and beyond, but especially for the first 5 integers.