By giving the input number in the specified input field and click on calculate button to check the exact result along with a detailed solution in our Cube Root Calculator. So, utilise this tool and obtain the cube root of any number as result instantly.

**Ex: ** Cube root of 224 (or) Cube root of 88 (or) Cube root of 125

**Here are some samples of Cube Root of a Number calculations.**

Related Calculators:

**Cube Root Calculator: **Do you want to compute the cube root of a number easily? Then use this free online tool to get the cubth root of number quickly. In the below segments, you can get the detailed explanation for how to calculate cube root of numbers with an example. Cube Root Calculator takes input as number and gives the result as cube root of that particular number in no time.

Don't think that calculating the non perfect number cube root is very difficult. The simple steps offered here will help you in solving the cube root of number x. Follow these guidelines and solve them carefully.

- Let say number x to compute the cube root.
- We will write cube root of x as ∛x. Cube root of x is also represented as x
^{⅓}. - Know the perfect cubes of numbers 1 to 10.
- So, that it will be easy for you to find the perfect cube root number.
- If the number is not perfect cube root, then know between which numbers the number lies.
- By trial and error method, calculate the nearest possible numbers to get the exact value.

**Example**

**Question: What is the cube root of 30?**

**Solution:**

Given number is 30

∛30 = ?

We already know that 3x3x3 = 27, 4x4x4 = 64

So, ∛30 lies between 3 and 4.

Try to compute 3.1 perfect cube

3.1x3.1x3.1 = 29.791

3.2x3.2x3.2 = 32.769

∛30 = 3.1

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**1. How do you calculate cube root of number using prime factorization method?**

Prime factorization is one of the simple method to calculate the cube root of any decimal number. The steps are listed here

- First of all find the factors of your number.
- Multiply the factors and write it under cube root.
- Check whether any number repeated several times.
- Then, try to represent repeated numbers in the form of number
^{3}or number^{n}. - Eliminate cube root for numbers like this number
^{3}. - And compute other numbers root by using the process mentioned above.

**2. What does Cube Root means?**

Cube root of a number is defined as the special number which when multiplied three times gives the original number. For example the cube root of 8 is 2. It says that 2x2x2 = 8.

**3. List out the perfect cube values up to 10?**

The list of perfect cube number 1 to 10 are provided here:

Cube of 1: 1x1x1 = 1, so ∛1=1.

Cube of 2: 2x2x2 = 8, so ∛8 = 2.

Cube of 3: 3x3x3 = 27, so ∛27 = 3.

Cube of 4: 4x4x4 = 64, so ∛64 = 4.

Cube of 5: 5x5x5 = 125, so ∛125 = 5.

Cube of 6: 6x6x6 = 216, so ∛216 = 6.

Cube of 7: 7x7x7 = 343, so ∛343 = 7.

Cube of 8: 8x8x8 = 512, so ∛512 = 8.

Cube of 9: 9x9x9 = 729, so ∛729 = 9.

Cube of 10: 10x10x10 = 1000, so ∛1000 = 10.

**4. Solve ∛39,304?**

Solve this problem by using prime factorization method.

39,304 = 2x2x2x17x17x17

∛39,304 = ∛2x2x2x17x17x17

= ∛2^{3}x∛17^{3}

= 2*17

∛39,304 = 34.