Find the Smallest Number by Which 8768 Must Be Divided So that the Quotient is a Perfect Cube. - Mathematics

Advertisements
Advertisements
Sum

Find the smallest number by which 8768 must be divided so that the quotient is a perfect cube.

Advertisements

Solution

The prime factor of 8768 are

2 8768
2 4384
2 2192
2 1096
2 548
2 274
137 137
  1

 

 

 

 

 

 

 

 

= 2 x 2 x 2 x 2 x 2 x 2 x 137
= (2 x 2 x 2) x (2 x 2 x 2) x 137
Clearly, 8768 must be divided by 137.

  Is there an error in this question or solution?
Chapter 4: Cubes and Cube Roots - Exercise 4 (A) [Page 48]

APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 4 Cubes and Cube Roots
Exercise 4 (A) | Q 8 | Page 48

RELATED QUESTIONS

Write the cubes of all natural numbers between 1 and 10 and verify the following statements:
(i) Cubes of all odd natural numbers are odd.
(ii) Cubes of all even natural numbers are even.


Which of the following is  perfect cube? 

1728


Which of the following is  perfect cube? 

 4608


What happens to the cube of a number if the number is multiplied by 3?


What happens to the cube of a number if the number is multiplied by  4?


Write the units digit of the cube of each of the following numbers:
31, 109, 388, 833, 4276, 5922, 77774, 44447, 125125125


By taking three different values of n verify the truth of the following statement:

If a natural number n is of the form 3p + 2 then n3 also a number of the same type.


Write true (T) or false (F) for the following statement:

There is no perfect cube which ends in 4.


Which of the following number is cube of negative integer - 2197.


Find if the following number is a perfect cube? 
588


Find if the following number is a perfect cube?
1728


Find if the following number is a perfect cube.

1938


Find the smallest number by which 27783 be multiplied to get a perfect square number.


Find the cube-root of 9261.


Find the cube-root of 3375.


Find the cube-root of 64 x 729


Find the cube-root of 3375 x 512


Find the cube-root of -512


Find the cube-root of `(-512)/(343)`


Find the cube-root of -2197.


Find the cube-root of -2744000


Find the cube-root of -0.512


Find the cube-root of - 15.625.


Find the cube-root of -64 x -125


Find the cube-root of `− 27/343`


Find the cube-root of 250.047


Find the cube-root of -175616


The smallest number to be added to 3333 to make it a perfect cube is ___________


The cube of 0.0012 is 0.000001728


79570 is not a perfect cube


The cube root of 250047 is 63


Show that 1944 is not a perfect cube


Find the smallest number by which 10985 should be divided so that the quotient is a perfect cube


Find the smallest number by which 200 should be multiplied to make it a perfect cube


What is the square root of cube root of 46656?


If the cube of a squared number is 729, find the square root of that number


Find two smallest perfect square numbers which when multiplied together gives a perfect cube number


If m is the cube root of n, then n is ______.


Share
Notifications



      Forgot password?
Use app×