Factor and Prime Factor Finder

This Python script finds the factors and prime factors of a given number. It prompts the user to input a number, then calculates and displays both the factors and the prime factors of that number.

Features

• Factor Calculation: It calculates all factors of the input number.
• Prime Factor Calculation: It identifies which of the factors are prime numbers.

How it Works

1. Input: The user is prompted to enter a number.
2. Factor Calculation: The script iterates from 1 to the number itself to find all the factors (divisors) of the number.
3. Prime Factor Calculation: For each factor, the script checks if it is a prime number by dividing it by all numbers from 2 to the square root of the factor. If no divisor is found, the number is considered prime.
4. Output: The script prints both the factors and the prime factors of the input number.

Code Explanation

• num = int(input("Enter a number: ")): Prompts the user to enter a number.
• factors = []: Initializes an empty list to store all factors of the number.
• prime_factors = []: Initializes an empty list to store prime factors.
• The script iterates through numbers from 1 to num using a for loop.
• For each number i, it checks if i divides num evenly (i.e., num % i == 0). If it does, i is added to the list of factors.
• The script then checks if i is a prime number. If i is greater than 1 and not divisible by any number between 2 and the square root of i, it is considered a prime factor and added to the list of prime factors.
• Finally, it prints the lists of factors and prime factors.

Example

Enter a number: 12 Factors of 12: [1, 2, 3, 4, 6, 12] Prime factors of 12: [2, 3]

How to Run

1. Copy the Python code into a file (e.g., factor_prime_factors.py).

2. Run the script using Python:

   factors.py

3. Enter a number when prompted.

4. The script will display the factors and prime factors of the number.

Requirements

Python 3.x

License

This project is licensed under the MIT License- see the LICENSE file for details.

Feel free to adjust the sections as per your needs!