Question

find the smallest number by which 6048 should be multiplied and divided so that the product and the quotient obtained is a perfect cube

Answer 1

Answer:

28 must be multiplied and divided

Step-by-step explanation:

prime factors of =2×2×2×2×2×3×3×3×7

so, to get a perfect square the number must be multiplied and divided by 2×2×7=28

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Answer 2

Answer:

over the part of the question "the quotient obtained is a perfect cube" has been put to confuse you

Step-by-step explanation:

As usual use prime factorization on the number 6048,

2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x7

to get a perfect cube, divide 6048 with the extra no.s - 2 x 2 x 7 = 28.

6048 ÷ 28 = 216.

Extra - the cube of 216 = 6

                   OR

              $\sqrt[3]{216} = 6$