How to Find the Minimum Sum of a Number's Factors in Python

Submitted by razormist on Sunday, February 23, 2025 - 22:57.

In this tutorial, we’ll learn how to program “How to Find the Minimum Sum of a Number's Factors in Python.” The objective is to safely find the minimum sum of a number's factors. This tutorial will guide you through the process step by step to find the factors of a number and compute their minimum sum. So, let’s get started!

This topic is straightforward to understand. Just follow the instructions I provide, and you’ll complete it with ease. The program I’ll demonstrate will illustrate the proper way to find the minimum sum of a given number's factors. So, let’s dive into the coding process!

Getting Started:

First you will have to download & install the Python IDLE's, here's the link for the Integrated Development And Learning Environment for Python https://www.python.org/downloads/.

Creating Main Function

This is the main function of the application. The following code will display a simple GUI in terminal console that will display program. To do this, simply copy and paste these blocks of code into the IDLE text editor.

def min_sum(num):
        min_sum = num
        
        for i in range(2, int(num**0.5) + 1):
                if num % i == 0:
                        factor = num // i
                        min_sum = min(min_sum, i + factor)
        
        return min_sum
 
while True:
        print("\n================= Find the Minimum Sum of a Number's Factors =================\n\n")
 
 
        number = int(input("Enter a number: "))
 
 
        result = min_sum(number)
        print("The minimum sum of factors for", number, "is", result)
 
        opt = input("\nDo you want to try again?(yes/no): ")
 
        if opt.lower() == 'yes':
                ret=False
        elif opt.lower() == 'no':
                ret=True
                print("Exiting program....")
        else:
                print("Please enter yes/no:")
                break
 
        if ret == False:
                continue

This program calculates the minimum sum of a number's factors by iterating through its divisors. It finds factor pairs, computes their sum, and determines the smallest possible sum. The program runs in a loop, allowing the user to repeatedly enter numbers until they choose to exit.

Output:

There you have it we successfully created How to Find the Minimum Sum of a Number's Factors in Python. I hope that this simple tutorial help you to what you are looking for. For more updates and tutorials just kindly visit this site. Enjoy Coding!

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