Python Program to find Composite Number

Posted in Python Tutorial

Updated on Jan 11, 2024

By Mari Selvan

👁️ 454 - Views

⏳ 4 mins

💬 1 Comment

Photo Credit to CodeToFun

🙋 Introduction

In the realm of programming, identifying and working with different types of numbers is a fundamental skill.

A composite number is one that has more than two positive divisors, excluding 1 and itself. In this tutorial, we'll explore a python program that efficiently determines whether a given number is composite or not.

📄 Example

Let's dive into the python code that checks whether a number is composite or not.

is_composite.py

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# Function to check if a number is composite
def is_composite(number):
    if number > 1:
        for i in range(2, number):
            if (number % i) == 0:
                return True  # The number has a divisor other than 1 and itself
        else:
            return False  # The number is not divisible by any other number
    else:
        return False  # Numbers less than or equal to 1 are not considered composite

# Default input value
default_input = 12

# Check if the default input is a composite number
if is_composite(default_input):
    print(f"{default_input} is a composite number.")
else:
    print(f"{default_input} is not a composite number.")

💻 Testing the Program

To test the program with a different number, simply replace the value of default_input with your desired number.

Output

12 is a composite number.

Run the script to see whether the given number is a composite number.

🧠 How the Program Works

The program defines a function is_composite that takes a number as input and checks if it is a composite number.
Inside the function, it iterates through numbers from 2 to the given number to check if any of them is a divisor.
If a divisor is found, the number is composite; otherwise, it is not.
The default input value is set to 12, and the program prints whether it is a composite number or not.

📏 Between the Given Range

Let's dive into the Python code that checks for composite numbers in the specified range.

is_composite.py

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# Function to check if a number is composite
def is_composite(num):
    if num > 1:
        for i in range(2, num):
            if (num % i) == 0:
                return True
        else:
            return False
    else:
        return False

# Driver program
def main():
    print("Composite numbers in the range 1 to 10:")
    for number in range(1, 11):
        if is_composite(number):
            print(number)

if __name__ == "__main__":
    main()

💻 Testing the Program

Output

Composite numbers in the range 1 to 10 are: 
4 6 8 9 10

Run the script, and it will display the composite numbers in the range 1 to 10.

🧠 How the Program Works

The program defines a function is_composite that takes a number as input and returns True if it is composite, and False otherwise.
Inside the function, it iterates through numbers from 2 to the given number (exclusive) to check for divisors.
The main function prints the composite numbers in the range 1 to 10 by calling the is_composite function.

🧐 Understanding the Concept of Composite Numbers

Composite numbers are integers greater than 1 that have divisors other than 1 and themselves.

For example, the number 12 is composite because it can be formed by multiplying 2 and 6 or 3 and 4.

🎢 Optimizing the Program

While the provided program is effective, consider exploring and implementing optimizations for larger numbers, such as checking divisors up to the square root of the number for improved efficiency.

Feel free to incorporate and modify this code as needed for your specific use case. Happy coding!