JavaScript Program to Check Power of 3

Posted in JavaScript Tutorial

Updated on Jan 11, 2024

By Mari Selvan

👁️ 41 - 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'll explore a JavaScript 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 take a look at the JavaScript code that accomplishes this functionality.

isPowerOf3.js

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// Function to check if a number is a power of 3
function isPowerOf3(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
// Replace this value with your desired number
const number = 27;

// Check if the number is a power of 3
if (isPowerOf3(number)) {
  console.log(`${number} is a power of 3`);
} else {
  console.log(`${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 code.

Output

27 is a power of 3

Run the script to see if the given number is a power of 3.

🧠 How the Program Works

The program defines a function isPowerOf3 that takes a number as input and checks if it is a power of 3.
Inside the function, 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 function returns true; otherwise, it returns false.
The driver program tests a specific number and logs whether it is a power of 3 or not.

📏 Between the Given Range

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

isPowerOf3.js

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// Function to check if a number is a power of 3
function isPowerOf3(num) {
  while (num > 1) {
    if (num % 3 !== 0) {
      return false;
    }
    num /= 3;
  }
  return num === 1;
}

// Check and display the power of 3 for numbers in the range 1 to 20
let powersOf3 = [];

for (let i = 1; i <= 20; i++) {
  if (isPowerOf3(i)) {
    powersOf3.push(i);
  }
}

// Output format: Power of 3 in the range 1 to 20: num1, num2, ...
console.log(`Power of 3 in the range 1 to 20: \n${powersOf3.join(' ')}`);

💻 Testing the Program

Output

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

The program is designed to check powers of 3 in the range 1 to 20. To test the program, simply run it as is.

🧠 How the Program Works

This version of the program uses a while loop to repeatedly divide the number by 3 until it is no longer divisible evenly. If the final result is 1, then the number is a power of 3.

🧐 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!