Is 68600 a perfect cube or not?

Is 68600 a perfect cube or not?

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Is 68600 a perfect cube or not?

Question

Is 68600 a perfect cube? If not, find the smallest number by which 68600 must be multiplied to get a perfect cube.

1104 Attempted students

Solution: LCM(68600)=2*2*2*5*5*7*7*7
No, it is not a perfect cube
after multiplying by 5 this number can be a perfect cube.

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Is 68600 a perfect cube or not?
Is 68600 a perfect cube or not?

We have, 68600 = 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7.

In this factorisation, we find that there is no triplet of 5.

So, 68600 is not a perfect cube.

To make it a perfect cube we multiply it by 5.

Thus,

68600 × 5 = 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7

= 343000, which is a perfect cube.

  1. Chapter 7 Class 8 Cubes and Cube Roots
  2. Serial order wise
  3. Examples

Check sibling questions

Example 5 - Chapter 7 Class 8 Cubes and Cube Roots

Last updated at Sept. 11, 2018 by

Is 68600 a perfect cube or not?

Is 68600 a perfect cube or not?


Transcript

Example 5 Is 68600 a perfect cube? If not, find the smallest number by which 68600 must be multiplied to get a perfect cube. We see that 68600 = 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 Since 5 does not occur in triplets, ∴ 68600 is not a perfect cube. So, we multiply by 5 to make triplet So, our number becomes 68600 × 5 = 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 5 = 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 Now, it becomes a perfect cube. So, we multiply 68600 by 5 to make it a perfect cube

  1. Chapter 7 Class 8 Cubes and Cube Roots
  2. Serial order wise

Is 68600 a perfect cube or not?

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

Is 68600 is a perfect cube number?

The prime factorisation of 68600 = 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7. In this factorisation, we find that there is no triplet of 5. So, 68600 is not a perfect cube.

Is 68600 is a perfect cube if not find the smallest number by which 68600 must be multiplied to get a perfect cube?

Hence, the smallest number by which 68600 must be multiplied to obtain a perfect cube is 5.

Is 53240 is a perfect cube?

Solution : `53240 = 2xx2xx2xx5xx11xx11xx11 =2^3xx11^3xx5`<br> Thus, `53240` is not a perfect cube.

Is 2437 is a perfect cube?

This implies, 2437 is a prime number. Therefore, 2437 is not a perfect cube.