C Program to Check for a Cube Number

Posted in C Tutorial

Updated on Oct 06, 2024

By Mari Selvan

👁️ 78 - Views

⏳ 4 mins

💬 1 Comment

Photo Credit to CodeToFun

🙋 Introduction

In the realm of programming, mathematical properties of numbers often lead to interesting and practical applications. One such property is being a cube number. A cube number is an integer that is the cube of an integer.

In this tutorial, we'll explore a C program that efficiently checks if a given number is a cube number..

📄 Example

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

isCube.cpp

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#include <stdio.h>
#include <math.h>

// Function to check if a number is a cube
int isCube(int number) {
  // Calculate the cube root and round to the nearest integer
  double cubeRoot = cbrt(number);
  int roundedCubeRoot = (int)(cubeRoot + 0.5); // Adding 0.5 for proper rounding

  // Check if the cube of the rounded cube root is equal to the input number
  return (roundedCubeRoot * roundedCubeRoot * roundedCubeRoot) == number;
}

// Driver program
int main() {
  // Replace this value with your desired number
  int inputNumber = 27;

  // Check if the number is a cube
  if (isCube(inputNumber)) {
    printf("%d is a cube number.\n", inputNumber);
  } else {
    printf("%d is not a cube number.\n", inputNumber);
  }

  return 0;
}

💻 Testing the Program

To test the program with different numbers, simply replace the value of inputNumber in the main function.

Output

27 is a cube number.

Compile and run the program to see if the number is a cube.

🧠 How the Program Works

The program defines a function isCube that takes a number as input and calculates its cube root, rounding to the nearest integer.
It checks if the cube of the rounded cube root is equal to the input number, determining whether it's a cube number.
The driver program (main function) replaces the value of inputNumber with the desired number and calls the isCube function to check if it's a cube number.
The program prints whether the input number is a cube number or not based on the result of the isCube function.

📏 Between the Given Range

Let's dive into the C code that checks whether a number in the range from 1 to 50 is a cube number.

isCubeNumber.c

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#include <stdio.h>

// Function to check if a number is a cube number
int isCubeNumber(int num) {
  int cubeRoot = 1;

  // Find the cube root of the number
  while (cubeRoot * cubeRoot * cubeRoot < num) {
    cubeRoot++;
  }

  // Check if the cube of the cube root is equal to the number
  return cubeRoot * cubeRoot * cubeRoot == num;
}

// Driver program
int main() {
  printf("Cube numbers in the range 1 to 50:\n");

  // Check and print cube numbers in the range 1 to 50
  for (int i = 1; i <= 50; i++) {
    if (isCubeNumber(i)) {
      printf("%d ", i);
    }
  }

  printf("\n");

  return 0;
}

💻 Testing the Program

Output

Cube numbers in the range 1 to 50:
1 8 27

Compile and run the program to see the cube numbers within the range of 1 to 50.

🧠 How the Program Works

The program defines a function isCubeNumber that checks if a given number is a cube number.
Inside the function, it finds the cube root of the number and checks if the cube of the cube root is equal to the original number.
The main function iterates through the numbers from 1 to 50 and prints those that are cube numbers.

🧐 Understanding the Concept of Cube Number

A cube number is the result of raising an integer to the power of 3. For example, 2 * 2 * 2 = 8, so 8 is a cube number.

🎢 Optimizing the Program

The provided program is straightforward, but you might consider optimizing it further. For instance, you can explore alternative methods for checking if a number is a cube number without using the cbrt function.

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