Question

find the smallest no by which 5184 must be divided so that
the resulting no. will be a perfect cube ?​

Answer 1

Answer:

your answer is 3

Step-by-step explanation:

Firstly we need to factorize the number 5184

After factorization we get,

⇒5184=

2∗2∗2

∗

2∗2∗2

∗

3∗3∗3

∗

3

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

The number 3 does not form a triplet. Hence the number 3 has to be divided so that the quotient becomes a perfect cube.

Hope it helps!

Answer 2

Answer:

3

Step-by-step explanation:

Firstly we need to factorize the number 5184

After factorization we get,

⇒5184=

2∗2∗2 ∗ 2∗2∗2 ∗ 3∗3∗3 ∗ 3

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

The number 3 does not form a triplet. Hence the number 3 has to be divided so that the quotient becomes a perfect cube.