Write a Java program to find the factorial of a given non-negative integer using a recursive function. The factorial of a non-negative integer n is denoted by n! and is calculated as the product of all positive integers from 1 to n.

Your program should include a recursive function factorial that takes an integer as input and returns its factorial. Then, in the main method, take an integer input from the user, call the factorial function to calculate the factorial, and print the result.

For example, if the user enters 5, the program should calculate and print the factorial of 5, which is 5! = 5 x 4 x 3 x 2 x 1 = 120.