Maths / Cube and Cube Roots / Cube Root by Prime Factorisation

QUESTION
 

What is the least number by which 8640 is divided, the quotient is a complete cube number?

OPTIONS
A. 

6

B. 

7

C. 

5

D. 

8

Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

8640=overline{2X2X2}Xoverline{2X2X2}Xoverline{3X3X3}X5

It is clear that if 8640 is divided by 5,the quotient will be a perfect cube.

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