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Last updated at Sept. 11, 2018 by Teachoo

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Ex 7.1, 1 Which of the following numbers are not perfect cubes? (i) 216Doing Prime factorization of 216 We see that 216 = 2 × 2 × 2 × 3 × 3 × 3 Since 2 & 3 occur in triplets, ∴ 216 is a perfect cube. Ex 7.1, 1 Which of the following numbers are not perfect cubes? (ii) 128Doing Prime factorization of 128 We see that 128 = 2 × 2 × 2 × 2 × 2 × 2 × 2 Since 2 does not occur in triplets, ∴ 128 is not a perfect cube. Doing Prime factorization of 128 We see that 128 = 2 × 2 × 2 × 2 × 2 × 2 × 2 Since 2 does not occur in triplets, ∴ 128 is not a perfect cube. Ex 7.1, 1 Which of the following numbers are not perfect cubes? (iii) 1000 Doing Prime factorization of 1000 We see that 1000 = 2 × 2 × 2 × 5 × 5 × 5 Since 2 & 5 occur in triplets, ∴ 1000 is a perfect cube. Ex 7.1, 1 Which of the following numbers are not perfect cubes? (iv) 100 Doing Prime factorization of 100 We see that 100 = 2 × 2 × 5 × 5 Since 2 & 5 do not occur in triplets, ∴ 100 is a not perfect cube. Ex 7.1, 1 Which of the following numbers are not perfect cubes? (v) 46656Doing Prime factorization of 46656 We see that 46656 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 Since all factors occur in triplets, ∴ 46656 is a perfect cube.

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.