How to Find Minimum Sum of Factors of Number in Python

Submitted by razormist on Thursday, December 12, 2024 - 23:49.

In this tutorial, we’ll learn how to program "How to Find Minimum Sum of Factors of Number in Python." The objective is to find the sum of even factors of a number based on the given input. A sample program will be provided to demonstrate the process of identifying and summing the even factors. So, let’s get started!

This topic is simple to understand. Just follow the instructions I provide, and you’ll be able to complete it with ease. The program I’ll demonstrate will show you the proper way to find the sum of the even factors of a number. I’ll also include a straightforward and efficient method to achieve this effectively. So, let’s start coding!

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 find_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 Minimum Sum of Factors of Number =================\n\n")
 
 
        number = int(input("Enter a number: "))
 
 
        result = find_min_sum(number)
        print("\nThe 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 factors** of a given number. It iterates through all possible factors of the number \( n \) starting from 2 up to the square root of \( n \). For each valid factor \( i \) (where \( n \% i == 0 \)), it calculates the complementary factor \( \text{factor} = n // i \) and computes the sum \( i + \text{factor} \). The smallest sum among these combinations is stored and returned. The program continues to ask if the user wants to try with another number until the user responds with "no."

Output:

There you have it we successfully created How to Find Minimum Sum of Factors of Number 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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