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

Image of Cube root Prime Factorization Method for Cubes

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
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
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
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
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
Find the prime factor of 15625 using prime factorization method

5

15625

5

3125

5

625

5

125

5

25

5

5

1