## How to find cube root of a number quickly | Cube Root Calculator

The *cube root* of a number means it is a value of that, when used in a multiplication by itself in **three times**, gives that number.

In this page explained about one simple and easy tip for finding **Cube Roots of Perfect Cubes of two digits numbers**. By this *cube root formula* we find cube root in fraction of seconds.

__These points to be remember for this cube root formula.__

- The given number should be perfect two digit cube.
- Remember cubes of 1 to 10 numbers.
- As per the cubes identify as follow as below table.

1^{3} = 1 |
If last digit of perfect cube number =1, last digit of cube root for that number=1 |

2^{3} = 8 |
If last digit of perfect cube number =8, last digit of cube root for that number=2 |

3^{3} = 27 |
If last digit of perfect cube number =7, last digit of cube root for that number=3 |

4^{3} = 64 |
If last digit of perfect cube number =4, last digit of cube root for that number=4 |

5^{3} = 125 |
If last digit of perfect cube number =5, last digit of cube root for that number=5 |

6^{3} = 216 |
If last digit of perfect cube number =6, last digit of cube root for that number=6 |

7^{3} = 343 |
If last digit of perfect cube number =3, last digit of cube root for that number=7 |

8^{3} =512 |
If last digit of perfect cube number =2, last digit of cube root for that number=8 |

9^{3} = 729 |
If last digit of perfect cube number =9, last digit of cube root for that number=9 |

10^{3} = 1000 |
If last digit of perfect cube number =0, last digit of cube root for that number=0 |

If we put interest on *mathematics* then it is a very interesting subject and easy to learn. Now let’s see how we can easily find out cube roots of perfect cubes with in fraction of seconds.

Take examples to easily understand the **cube root formula**

**Example 1: Find Cube Root of 13824**

**Step 1 **

Identify the last three digits from right side and make group of these three digits

i.e., 13 – 824

**Step 2**

Take the last group which is 824. And then find the last digit of 824 is 4

According to above table if last digit having 4 then last digit of cube root for that number is 4

Hence the right most digit of the cube root of the given number is 4

**Step 3**

Take the next group which is 13

Find out the value of 13 lies in between the cube of the numbers 2^{3 }and 3^{3}

8 < 13 < 27

Take small cube number i.e “ 2 “

Hence the left neighbor digit of the answer is 2

**So our answer = 24**

**Example 2: Find Cube Root of 175616**

**Step 1 **

Identify the last three digits from right side and make group of these three digits

i.e., 176 – 616

**Step 2**

Take the last group which is 616. And then find the last digit of 616 is 6

According to above table if last digit having 6 then last digit of cube root for that number is 6

Hence the right most digit of the cube root of the given number is 6

**Step 3**

Take the next group which is 176

Find out the 176 lies in between the cube of the numbers i.e 5^{3 }and 6^{3}

125 < 176 < 216

Take small cube number i.e “ 5 “

Hence the left neighbor digit of the answer is 5

**So our answer = 56**

**Example 3: Find Cube Root of 804357**

**Step 1 **

Identify the last three digits from right side and make group of these three digits

i.e., 804 – 357

**Step 2**

Take the last group which is 357. And then find the last digit of 357 is 7

According to above table if last digit having 7 then last digit of cube root for that number is 3

Hence the right most digit of the cube root of the given number is 3

**Step 3**

Take the next group which is 804

Find out the 176 lies in between the cube of the numbers i.e 9^{3 }and 10^{3}

729 < 804 < 1000

Take small cube number i.e “ 9 “

Hence the left neighbor digit of the answer is 9

**So our answer = 93**

**Example 4: Find Cube Root of 438976**

**Step 1 **

Identify the last three digits from right side and make group of these three digits

i.e., 438 – 976

**Step 2**

Take the last group which is 976. And then find the last digit of 976 is 6

According to above table if last digit having 6 then last digit of cube root for that number is 6

Hence the right most digit of the cube root of the given number is 6

**Step 3**

Take the next group which is 438

Find out the 438 lies in between the cube of the numbers i.e 7^{3 }and 8^{3}

343 < 438 < 512

Take small cube number i.e “ 7 “

Hence the left neighbor digit of the answer is 7

So our answer = 76

Friend it is very cube root formula for perfect cubes. Once if we understand the logic we can answered easily with in fraction of seconds.

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## 8 thoughts on “Cube Root formula of Perfect Cubes of 1 to 100 | Cube root formula in math”

## Short Cut methods to square root calculation with examples

(November 10, 2017 - 1:38 pm)[…] Cube Root formula of Perfect Cubes of 1 to 100 | Cube root formula in math […]

## shortcut methods for finding the cube of a number | number cube tricks

(November 10, 2017 - 5:42 pm)[…] How to find cube root of a number quickly | Cube Root Calculator […]

## Jiahlarfour bright

(April 11, 2018 - 7:14 pm)Finally I got what I wanted

## sivaalluri

(April 12, 2018 - 2:54 pm)Thank you very much

please go through the below link for explained in video

https://youtu.be/ahulCtH92KE

## DIVYANSH

(June 13, 2018 - 4:32 am)Thanks good formulas

## sivaalluri

(June 13, 2018 - 5:15 pm)Thank you DIVYANSH

## Abhimanyu Singh

(September 28, 2019 - 7:28 am)Good Technic.

Thanks

## sivaalluri

(September 28, 2019 - 11:46 am)Welcome Abhimanyu Singh