Cube Root of 24389
2026-02-21 20:33 Diff
https://brightchamps.com/en-us/math/algebra/cube-root-of-24389

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Last updated on August 5, 2025

A number we multiply by itself three times to get the original number is its cube root. It has various uses in real life, such as finding the volume of cube-shaped objects and designing structures. We will now find the cube root of 24389 and explain the methods used.

What is the Cube Root of 24389?

We have learned the definition of the cube root. Now, let’s learn how it is represented using a symbol and exponent. The symbol we use to express the cube root is the radical sign (∛), and the exponent we use is ⅓.

In exponential form, ∛24389 is written as 24389(1/3). The cube root is just the opposite operation of finding the cube of a number. For example: Assume ‘y’ as the cube root of 24389, then y3 can be 24389. Since 24389 is a perfect cube, the cube root of 24389 is exactly 29.

Finding the Cube Root of 24389

Finding the cube root of a number is to identify the number that must be multiplied three times resulting in the target number. Now, we will go through the different ways to find the cube root of 24389. The common methods we follow to find the cube root are given below:

  • Prime factorization method
  • Approximation method
  • Subtraction method
  • Halley’s method

To find the cube root of a perfect cube, we can use the prime factorization method. Since 24389 is a perfect cube, this method is effective.

Cube Root of 24389 by Prime Factorization Method

Let's find the cube root of 24389 using the prime factorization method.

We break down 24389 into its prime factors:

24389 = 29 × 29 × 29

Since we have three 29s, the cube root is the number that appears thrice in the factorization.

∛24389 = 29

The cube root of 24389 is exactly 29.

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Common Mistakes and How to Avoid Them in the Cube Root of 24389

Finding the perfect cube of a number without any errors can be a difficult task for students. This happens for many reasons. Here are a few mistakes the students commonly make and the ways to avoid them:

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Problem 1

Imagine you have a cube-shaped toy that has a total volume of 24389 cubic centimeters. Find the length of one side of the cube equal to its cube root.

Okay, lets begin

Side of the cube = ∛24389 = 29 units

Explanation

To find the side of the cube, we need to find the cube root of the given volume.

Therefore, the side length of the cube is exactly 29 units.

Well explained 👍

Problem 2

A company manufactures 24389 cubic meters of material. Calculate the amount of material left after using 1000 cubic meters.

Okay, lets begin

The amount of material left is 23389 cubic meters.

Explanation

To find the remaining material, we need to subtract the used material from the total amount:

24389 - 1000 = 23389 cubic meters.

Well explained 👍

Problem 3

A bottle holds 24389 cubic meters of volume. Another bottle holds a volume of 111 cubic meters. What would be the total volume if the bottles are combined?

Okay, lets begin

The total volume of the combined bottles is 24500 cubic meters.

Explanation

 Let’s add the volume of both bottles:

24389 + 111 = 24500 cubic meters.

Well explained 👍

Problem 4

When the cube root of 24389 is multiplied by 3, calculate the resultant value. How will this affect the cube of the new value?

Okay, lets begin

3 × 29 = 87

The cube of 87 = 658503

Explanation

When we multiply the cube root of 24389 by 3, it results in a significant increase in the volume because the cube increases exponentially.

Well explained 👍

Problem 5

Find ∛(12000 + 12389).

Okay, lets begin

∛(12000 + 12389) = ∛24389 = 29

Explanation

As shown in the question ∛(12000 + 12389), we can simplify that by adding them.

So, 12000 + 12389 = 24389.

Then we use this step: ∛24389 = 29 to get the answer.

Well explained 👍

FAQs on 24389 Cube Root

1.Can we find the Cube Root of 24389?

Yes, we can find the cube root of 24389 exactly as the cube root of 24389 is a whole number. It is exactly 29.

2.Why is Cube Root of 24389 rational?

The cube root of 24389 is rational because it is a whole number, specifically 29, which can be expressed as a fraction (29/1).

3.Is it possible to get the cube root of 24389 as an exact number?

Yes, the cube root of 24389 is an exact number. It is 29.

4.Can we find the cube root of any number using prime factorization?

The prime factorization method can be used to calculate the cube root of perfect cube numbers, such as 24389.

5.Is there any formula to find the cube root of a number?

Yes, the formula we use for the cube root of any number ‘a’ is a^(1/3).

Important Glossaries for Cube Root of 24389

  • Cube root: The number that is multiplied three times by itself to get the given number is the cube root of that number.
     
  • Perfect cube: A number is a perfect cube when it is the product of multiplying a number three times by itself. For example, 29 × 29 × 29 = 24389.
     
  • Exponent: The exponent form of the number denotes the number of times a number can be multiplied by itself. In ∛24389, ⅓ is the exponent which denotes the cube root of 24389.
     
  • Radical sign: The symbol that is used to represent a root, expressed as (∛).
     
  • Rational number: The numbers that can be expressed as a fraction. For example, the cube root of 24389 is rational because it is 29, which can be represented as 29/1.

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Jaskaran Singh Saluja

About the Author

Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.

Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.