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

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Sum

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

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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?

APPEARS IN

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