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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*7 150 Connect with 50,000+ tutors in less than 60 seconds 24x7 Ask a TutorAre you ready to take control of your learning?Download Filo and start learning with your favourite tutors right away!
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.
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Example 5 - Chapter 7 Class 8 Cubes and Cube RootsLast updated at Sept. 11, 2018 by
TranscriptExample 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
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.
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