# Cube Number Definition

The result we get when a **number** is multiplied by **itself three times** is called a **cube number**. In simple words, when an integer is multiplied **three times**, it will result in a cube number. Such numbers are also called **perfect cubes** of a particular integer.

**Note:**

Read about Integers here.

**Table of Contents**

- Representation of a cube number
- How to find a cube number?
- Cube Numbers of the first 10 Natural Numbers
- How to check if a number is a cube number or not?
- Fun Facts about Cube Numbers
- FAQ's

**For example**, if we multiply **3 x 3 x 3**, we get **27** as the result of this multiplication. The number **“27”** is the cube number of the “**3**” because it is the resultant of three times the multiplication of this number.

## Representation of a cube number

In Mathematics, the cube number is shown by writing “**3**” as the **exponent** of a particular **integer** or a whole number. For example, if we say **8** is the cube number of **2**, we can write it as 2^3. Here, “**3**” in the exponent of “**2**” shows that it is going to be multiplied **three times** (Cube).

**Note:**

Read about **Whole Numbers** and **Exponents**.

### How to find a cube number?

Finding cube numbers is not a difficult task. You may have understood till now how to do this with the above definition. For your better understanding, here are some simple steps by following which you can find a cube number for any integer.

- Write the given number
- Multiply the number by itself
- Again multiply the answer with the same number
- Now, the resultant will be a cube number

### Cube Numbers of the first 10 Natural Numbers

1 x 1 x 1 = 1

2 x 2 x 2 = 8

3 x 3 x 3 = 9

4 x 4 x 4 = 64

5 x 5 x 5 = 125

6 x 6 x 6 = 216

7 x 7 x 7 = 343

8 x 8 x 8 = 512

9 x 9 x 9 = 729

10 x 10 x 10 = 1000

**Note:**

Read about **Natural Numbers** here.

### How to check if a number is a cube number or not?

In Mathematics, the cube number is shown by writing “**3**” as the **exponent** of a particular **integer** or a whole number. For example, if we say **8** is the cube number of **2**, we can write it as 2^3. Here, “**3**” in the exponent of “**2**” shows that it is going to be multiplied **three times** (Cube).

**Note:**

Read about Prime Numbers and **Prime Factorization**.

### Fun Facts about Cube Numbers

- The cube of an
**even number**is always an**even number**. - An
**odd number’s**cube will be another**odd number**. - A
**negative**integer will give a**negative**number when**cubed**. - The cube number is given the name due to its similarity with the Geometrical shape “
**Cube**”.

**Note:**

Read about **Even Numbers**, Odd Numbers, and **Cubes**.

### FAQ's

**What is a cube number in Mathematics?**

A cube number is a particular number that comes by multiplying a number three times.

**Is 21 a cube number?**

No, 21 is not a cube number because it has only two prime factors that are different too.

**Can we check if a number is a cube number or not?**

Yes, we can check it through prime factorization of the concerned number.

**What is the significance of cube numbers in Mathematics?**

It is used to find the volume of the cube in Geometry and solve many other problems in Mathematics.