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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.
  1. def min_sum(num):
  2.         min_sum = num
  3.        
  4.         for i in range(2, int(num**0.5) + 1):
  5.                 if num % i == 0:
  6.                         factor = num // i
  7.                         min_sum = min(min_sum, i + factor)
  8.        
  9.         return min_sum
  10.  
  11. while True:
  12.         print("\n================= Find the Minimum Sum of a Number's Factors =================\n\n")
  13.  
  14.  
  15.         number = int(input("Enter a number: "))
  16.  
  17.  
  18.         result = min_sum(number)
  19.         print("The minimum sum of factors for", number, "is", result)
  20.  
  21.         opt = input("\nDo you want to try again?(yes/no): ")
  22.  
  23.         if opt.lower() == 'yes':
  24.                 ret=False
  25.         elif opt.lower() == 'no':
  26.                 ret=True
  27.                 print("Exiting program....")
  28.         else:
  29.                 print("Please enter yes/no:")
  30.                 break
  31.  
  32.         if ret == False:
  33.                 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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