Question

Mathematics by what number should 55296 be divided so that question is a perfect cube also find the cube root of the questions give the solution of 5 5296 please give the answer

Answer 1

Hello friend

The prime factor of 55296 is
2×2×3×3×3×8×8×8

Just because of one more 2 55296 is not a perfect cube

So we multiply the number by 2 and we get the desired result
And the cube root is 8×3×2 = 48

Hence 2 is the number by which 55296 is multiplied and 48 is the cubic root of that resulting number after multiplying by 2

I hope thisay help u

Answer 2

Hello.

Here is your answer.


Given number = 55296.

Let us first find the Prime Factors of 55296.

We have-   2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3

Thus, Making the Groups of three similar numbers,

  ∴    2 × 2 × 2      2 × 2 × 2      2 × 2 × 2        2 × 2          3 × 3 × 3
         ↔↔↔          ↔↔↔         ↔↔↔                            ↔↔↔↔

Since the Prime Factor 2 does not appear in the group of 3.


∴ If we divide the 55296 by 2 × 2 = 4, then the left out 2's will be not there.

So the smallest number by which 55296 should be divided is 4 and the number thus obtained is 55296/4 = 13824, which is a perfect cube.

Thus, the Required Answer is 13824.

Cube root of the Above Answer is 24.

Hope it helps.


Have a Marvelous Day.