Flowchart for Printing All Factors of 72 and Their Sum: A Step-by-Step Guide

Introduction

Understanding how to create a flowchart is a crucial skill for computer scientists and programmers. In this article, we will walk through the process of creating a flowchart to print all factors of 72 and their sum. This guide will include detailed steps, a step-by-step flowchart, and an explanation of the process involved. We will also provide a Python code implementation for the same logic.

Background

Given a number, 72 in our case, we aim to find and print all its factors along with the sum of those factors. Factors of a number are the integers that can be multiplied together to produce that number. For instance, the factors of 72 include 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.

Steps to Create the Flowchart

The process of creating a flowchart to find all factors of 72 and their sum can be broken down into several steps:

Start

Begin the flowchart by initializing variables and setting the conditions for the loop.

Initialize Variables

number 72 sum_of_factors 0 i 1

Loop Condition

Check if i is less than or equal to number.

If True, proceed to the next step. If False, go to the end of the loop.

Check Factor

Check if number % i 0, i.e., if i is a factor of 72.

If True, print i and add i to sum_of_factors. Go back to the loop condition. If False, skip to the increment step.

Increment

Increment i by 1.

Print Sum

Once the loop is complete, print sum_of_factors.

End

Visual Representation

Here is a simple text-based representation of the flowchart:

[Start] [Initialize Variables] [Is i Yes [Is number % i 0] --- No --- [Increment i] --- [Go back to Loop Condition] Yes [Print i] [sum_of_factors i] [Increment i] [Go back to Loop Condition]

Explanation of the Flowchart

Initialization: Set number 72, sum_of_factors 0, and i 1.

Looping: Loop through all numbers from 1 to 72 to check if they are factors.

Condition Checking: For each number, check if it divides evenly into 72 using the modulus operator. If it does, print the number and add it to the sum.

Final Output: After checking all numbers, print the total sum of the factors.

Implementation Example in Python

Python Code:

number  72sum_of_factors  0for i in range(1, number   1):    if number % i  0:        print(i)  # Print the factor        sum_of_factors   i  # Add to the sumprint(sum_of_factors)

This code will output all factors of 72 and their sum as specified in the flowchart.

Algorithm in Pseudocode

We use a simple pseudocode to outline the algorithm:

Initialize number 72, sum_of_factors 0, and i 1. While loop: Check if i is less than or equal to number. Check factor: If number % i 0, indicate that i is a factor. Print i and add it to sum_of_factors. Increment i by 1. Print sum_of_factors.

Conclusion

Creating a flowchart for finding all factors of 72 and printing their sum involves initializing variables, setting up a loop, and conditionally checking for factors. This guide provides a clear understanding of the process and includes practical examples in both flowchart form and Python code. Whether you are a beginner or an experienced programmer, understanding flowcharts is a valuable skill in computer science and programming.