Question

17. By what smallest number 29160 be divided so that the quotient becomes a perfect
cube?​

Answer 1

Answer:

5 is the smallest number to be divided from 29160 to make it as a perfect cube

Step-by-step explanation:

29160 = 2³x3³x3³x5

5832 = (2x3x3)³=18³

Answer 2

Answer:

the number 5 must be subtracted to form a perfect cube

Step-by-step explanation:

Firstly we need to factorize the number 29160

After factorization we get,

⇒29160=  2 x 2 x 2  x 3 x 3 x 3 x  3 x 3 x 3  x  5

 

We need to group the expanded numbers in a group of three since it has to be a perfect cube.  

The number 5 does not form a triplet. Hence the number 5 has to be divided so that the quotient becomes a perfect cube.