Question

Find the smallest number by which 448 is divided so that the quotient has the perfect cube root, also find the cube root of the new number so formed.​

Answer 1

Answer:

Firstly we need to factorize the number 29160

Firstly we need to factorize the number 29160After factorization we get,

Firstly we need to factorize the number 29160After factorization we get,⇒29160=2∗2∗2∗3∗3∗3∗3∗3∗3∗5

Firstly we need to factorize the number 29160After factorization we get,⇒29160=2∗2∗2∗3∗3∗3∗3∗3∗3∗5We need to group the expanded numbers in a group of three since it has to be a perfect cube. 

Firstly we need to factorize the number 29160After factorization we get,⇒29160=2∗2∗2∗3∗3∗3∗3∗3∗3∗5We 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.