Question

Find out that smallest number which when multiplied by 8019 will make the quotient a perfect cube

Answer 1

Step-by-step explanation:

8019 will make the quotient a perfect cube

Answer 2

Therefore 8019 is the smallest number which when divided by 8019 will make the quotient a perfect cube.

Given:

The number = 8019

To Find:

The smallest number when divided by 8019 will make the quotient a perfect cube.

Solution:

The given question can be solved very easily as shown below.

Given number 8019

Now the numerator should be multiples of 8019.

⇒ 8019 × 1 = 8019

⇒ When 8019 is divided by 8019 we will get '1' as the quotient and also '1' is a perfect cube.

⇒ To get the next perfect cube in the quotient, 8019 should divide 8019 × 8 = 64,152 then '8' is obtained as the quotient and it is the next perfect cube after '1'.

⇒ So 8019 is the smallest number.

Therefore 8019 is the smallest number which when divided by 8019 will make the quotient a perfect cube.

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