Listing Factors of Numbers in Python

What are Factors

Factors are the complete set of integers that will divide a particular numbers without remainder.
Take 36 as an example, it's complete set are:

1, 2, 3, 4, 6, 9, 12, 18, and 36.

Other than prime numbers, every other number has at least one factor - not considering 1 as factor.
Where there is just one factor, then this factor is square root of the number in question;

Code for Factorising Numbers in Python

Actually, we've been doing factors over the last two demonstrations (lessons).

We'll simply check for our factors using the square-root of number range.
We'll start from 1 (which is always a factor).
For each found factor, we'll get the corresponding complementary factor by dividing the number (whose factors we are trying to find), by the found factor.

Create a new module file; File, New File.
Call it listFactors.py.

Type out the adjoining Python code for finding the factors of a number.

Note: You can comment out the Python code for the main class from the previous lesson if you have been following.

Python code for listFactors Module File.

from math import ceil, sqrt

# A class
class Factors:
    # Simulate a constructor
    def __init__(self, candidate):
        self.find_my_factors = candidate
        self.found_factors = [1, self.find_my_factors] # 1 and itself are automatic factors
        self.sqrt_range = ceil(sqrt(self.find_my_factors))

    # Returns an array reference of the desired factors
    def findFactors(self):
        # Loop through 1 to 'find_my_factors' and test for divisibility.
        for self.count in range(2, self.sqrt_range):
            if self.find_my_factors % self.count == 0:
                self.found_factors.append(self.count)
                # Get the complementing factor by dividing 'find_my_factor' by variable count.
                self.found_factors.append(int(self.find_my_factors / self.count))

        # Sort the array in ascending order Not entirely necessary.
        self.found_factors.sort()

        return self.found_factors

Main class code.

#!/usr/bin/python
from ListFactors import Factors

# Use the list factors module/class
test_guy = 48
factor_list = Factors(test_guy)
answer = factor_list.findFactors()
print("Factors of test_guy include:\n", " ".join(str(answer)))

print("\n\n")

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