Generate a Python program that has the following intention:

The intention of the program below is to find the prime factors of a positive integer n. The function p1(n) does this by iterating through numbers from 2 to the square root of n (rounded up to the nearest integer) and checking if n is divisible by each number. If it is divisible, the function returns a list containing the prime factor and the result of calling p1 on the remainder of n. If no prime factors are found, an empty list is returned. Write exactly 6 paragraphs each separated with two new lines answering this question. The first paragraph must start with "ways".
user