Question

Find the number by which 29160 should be divided so that the quotient is a perfect cube ​

Answer 1

Step-by-step explanation:

Firstly we need to factorize the number 29160

After factorization we get,

⇒29160=

2∗2∗2

∗

3∗3∗3

∗

3∗3∗3

∗

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.

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