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100 LearnersLast updated on April 28th, 2025
Cube Root of 636056
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 636056 and explain the methods used.
What is the Cube Root of 636056?
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, ∛636056 is written as 636056(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 636056, then y3 can be 636056. Since the cube root of 636056 is an exact value, it is 86.
Finding the Cube Root of 636056
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 636056. 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 number like 636056, the prime factorization method is often used.
Cube Root of 636056 by Prime Factorization
Let's find the cube root of 636056 using the prime factorization method.
First, determine the prime factors of 636056:
636056 = 2 × 2 × 2 × 107 × 107 × 107
Next, group the factors into triples: (2 × 2 × 2) and (107 × 107 × 107)
Now, take one factor from each group: 2 × 107 = 214
Thus, the cube root of 636056 is 86.
Common Mistakes and How to Avoid Them in the Cube Root of 636056
Cube Root of 636056 Examples:
Problem 1
Imagine you have a cube-shaped box that has a total volume of 636056 cubic centimeters. Find the length of one side of the box equal to its cube root.
Explanation
Problem 2
A warehouse stores cubes with a total volume of 636056 cubic meters. Calculate the amount of volume left after using 100000 cubic meters.
Explanation
Problem 3
A container holds 636056 cubic meters of material. Another container holds a volume of 50000 cubic meters. What would be the total volume if the containers are combined?
Explanation
Problem 4
When the cube root of 636056 is multiplied by 2, calculate the resultant value. How will this affect the cube of the new value?
Explanation
Problem 5
Find ∛(100000 + 536056).
Explanation
FAQs on 636056 Cube Root
1.Can we find the Cube Root of 636056?
2.Why is the Cube Root of 636056 a rational number?
3.Is it possible to get the cube root of 636056 as an exact number?
4.Can we find the cube root of any number using prime factorization?
5.Is there any formula to find the cube root of a number?
Important Glossaries for Cube Root of 636056
- 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. A perfect cube always results in a whole number. For example, 86 × 86 × 86 = 636056, therefore, 636056 is a perfect cube.
- Exponent: The exponent form of the number denotes the number of times a number can be multiplied by itself. In 636056(1/3), ⅓ is the exponent which denotes the cube root of 636056.
- Radical sign: The symbol that is used to represent a root which is expressed as (∛).
- Rational number: A number that can be expressed as the quotient or fraction of two integers, such as the cube root of 636056 which is 86.
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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.
