NCERT Class 8 Mathematics Solutions: Chapter 7 – Cubes and Cube Roots Exercise 7.2 Part 1
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Image of cube root prime factorization method for cubes and cube root
Question: 1 Find the cube root of each of the following numbers by prime factorization method:
(i) 64
(ii) 512
(iii) 10648
(iv) 27000
(v) 15625
(vi) 13824
(vii) 110592
(viii) 46656
(xi) 175616
(x) 91125
Answer:
(i) 64
2 | 64 |
2 | 32 |
2 | 16 |
2 | 8 |
2 | 4 |
2 | 2 |
1 |
(ii) 512
2 | 512 |
2 | 256 |
2 | 128 |
2 | 64 |
2 | 32 |
2 | 16 |
2 | 8 |
2 | 4 |
2 | 2 |
1 |
(iii) 10648
2 | 10648 |
2 | 5324 |
2 | 2662 |
11 | 1331 |
11 | 121 |
11 | 11 |
1 |
(iv) 27000
2 | 27000 |
2 | 13500 |
2 | 6750 |
3 | 3375 |
3 | 1125 |
3 | 375 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
(v) 15625
5 | 15625 |
5 | 3125 |
5 | 625 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |