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

Cube Root Prime Factorization Method for Cubes

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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

Find the prime factor of 64 using prime factorization method

2

64

2

32

2

16

2

8

2

4

2

2

1

(ii) 512

Find the prime factor of 512 using prime factorization method

2

512

2

256

2

128

2

64

2

32

2

16

2

8

2

4

2

2

1

(iii) 10648

Find the prime factor of 10648 using prime factorization method

2

10648

2

5324

2

2662

11

1331

11

121

11

11

1

(iv) 27000

Find the prime factor of 27000 using prime factorization method

2

27000

2

13500

2

6750

3

3375

3

1125

3

375

5

125

5

25

5

5

1

(v) 15625

Find the prime factor of 15625 using prime factorization method

5

15625

5

3125

5

625

5

125

5

25

5

5

1