To Find if the Given Number is a Perfect Cube


How to find if the given number is a perfect cube?

If the prime factors of a number are grouped in triples of equal factors, then that number is called a perfect cube.

Examples to find if the given number is a perfect cube:

1. Find out if the following are perfect cubes.


(i) 250

(ii) 5832

(i) 250


Solution: 

Resolving 250 as the product of prime factors

Perfect Cube


250 = 2 × 5 × 5 × 5

Since 2 does not exist in product of triples. 

Therefore, 250 is not a perfect cube. 



(ii) 5832

Solution:

Resolving 5832 as the product of prime factors

Perfect Cube


5832 = 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3

Since, they are grouped in triples.

Therefore, 5832 is a perfect cube.



2. Find the smallest number by which 1944 must be multiplied so that the product is a perfect cube.

Solution:


Resolving 1944 as the product of prime factors

Perfect Cube


1944 = 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3

In order to make 1944 a perfect cube, it must be multiplied by 3.



3. Find the smallest number by which 4394 must be divided so that the quotient is a perfect cube.

Solution:


Resolving 4394 as the product of primes

Perfect Cube


4394 = 2 × 13 × 13 × 13

In order to make 4394 a perfect cube, it must be divided by 2, so that the quotient is 2197.


 Cube and Cube Roots

Cube

To Find if the Given Number is a Perfect Cube

Cube Root

Method for Finding the Cube of a Two-Digit Number

Table of Cube Roots


 Cube and Cube Roots - Worksheets

Worksheet on Cube

Worksheet on Cube and Cube Root

Worksheet on Cube Root












8th Grade Math Practice 

From To Find if the Given Number is a Perfect Cube to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?



Recent Articles

  1. 5th Grade Circle Worksheet | Free Worksheet with Answer |Practice Math

    Jul 11, 25 02:14 PM

    Radii of the circRadii, Chords, Diameters, Semi-circles
    In 5th Grade Circle Worksheet you will get different types of questions on parts of a circle, relation between radius and diameter, interior of a circle, exterior of a circle and construction of circl…

    Read More

  2. Construction of a Circle | Working Rules | Step-by-step Explanation |

    Jul 09, 25 01:29 AM

    Parts of a Circle
    Construction of a Circle when the length of its Radius is given. Working Rules | Step I: Open the compass such that its pointer be put on initial point (i.e. O) of ruler / scale and the pencil-end be…

    Read More

  3. Combination of Addition and Subtraction | Mixed Addition & Subtraction

    Jul 08, 25 02:32 PM

    Add and Sub
    We will discuss here about the combination of addition and subtraction. The rules which can be used to solve the sums involving addition (+) and subtraction (-) together are: I: First add

    Read More

  4. Addition & Subtraction Together |Combination of addition & subtraction

    Jul 08, 25 02:23 PM

    Addition and Subtraction Together Problem
    We will solve the different types of problems involving addition and subtraction together. To show the problem involving both addition and subtraction, we first group all the numbers with ‘+’ and…

    Read More

  5. 5th Grade Circle | Radius, Interior and Exterior of a Circle|Worksheet

    Jul 08, 25 09:55 AM

    Semi-circular Region
    A circle is the set of all those point in a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle and the constant distance is known

    Read More