Java Program to Check Power of 3

Posted in Java Tutorial

Updated on Oct 30, 2024

By Mari Selvan

👁️ 54 - Views

⏳ 4 mins

💬 1 Comment

Photo Credit to CodeToFun

🙋 Introduction

In the realm of programming, one often encounters the need to check if a given number is a power of another.

In this context, we will explore a Java program designed specifically to check if a number is a power of 3.

The logic behind this program involves repeatedly dividing the number by 3 until it becomes 1, indicating that it is a power of 3.

📄 Example

Let's delve into the Java code that achieves this functionality.

CheckPowerOf3.java

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public class CheckPowerOf3 {

// Function to check if a number is a power of 3
static boolean isPowerOf3(int n) {
  // Keep dividing the number by 3 until it is greater than 1
  while (n % 3 == 0 && n > 1) {
    n /= 3;
  }

  // If the final value is 1, the original number is a power of 3
  return n == 1;
}

// Driver program
public static void main(String[] args) {
  // Replace this value with your desired number
  int number = 27;

  // Check if the number is a power of 3
  if (isPowerOf3(number)) {
    System.out.println(number + " is a power of 3");
  } else {
    System.out.println(number + " is not a power of 3");
  }
}
}

💻 Testing the Program

To test the program with different numbers, simply replace the value of number in the main method.

Output

27 is a power of 3

Compile and run the program to see if the given number is a power of 3.

🧠 How the Program Works

The program defines a class CheckPowerOf3 containing a static method isPowerOf3 that takes an integer as input and checks if it is a power of 3.
Inside the method, it repeatedly divides the number by 3 until it becomes greater than 1.
If the final value is 1, the original number is a power of 3, and the method returns true; otherwise, it returns false.
The driver program in the main method tests a specific number and prints whether it is a power of 3 or not.

📏 Between the Given Range

Let's take a look at the java code that checks for powers of 3 in the given range.

PowerOfThreeChecker.java

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public class PowerOfThreeChecker {

  // Function to check if a number is a power of 3
  static boolean isPowerOfThree(int num) {
    // If num is less than or equal to 0, it can't be a power of 3
    if (num <= 0) {
      return false;
    }

    // Keep dividing num by 3 until it becomes 1
    while (num % 3 == 0) {
      num /= 3;
    }

    // If num becomes 1, it is a power of 3; otherwise, it's not
    return num == 1;
  }

  // Driver program
  public static void main(String[] args) {
    System.out.println("Power of 3 in the range 1 to 20:");

    // Check and print powers of 3 in the specified range
    for (int i = 1; i <= 20; i++) {
      if (isPowerOfThree(i)) {
        System.out.print(i + " ");
      }
    }
  }
}

💻 Testing the Program

Output

Power of 3 in the range 1 to 20:
1 3 9

To test the program, compile and run it. The output should display the powers of 3 in the specified range.

🧠 How the Program Works

The program defines a class PowerOfThreeChecker containing a static method isPowerOfThree that checks if a given number is a power of 3.
Inside the method, it ensures that the number is greater than 0 and then repeatedly divides it by 3 until it becomes 1.
The main method prints the powers of 3 in the range from 1 to 20.

🧐 Understanding the Concept of Power of 3

Before diving into the code, let's understand the concept of a power of 3.

A number is considered a power of 3 if it can be expressed as 3^n, where n is an integer.

For example, 1, 3, 9, 27, and so on are powers of 3.

🎢 Optimizing the Program

While the provided program is straightforward, there are alternative approaches to check if a number is a power of 3. Consider exploring other mathematical techniques for optimization.

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