NCERT Class 8 Mathematics Solutions: Chapter 7 – Cubes and Cube Roots Exercise 7.2 Part 1 (For CBSE, ICSE, IAS, NET, NRA 2022)

Glide to success with Doorsteptutor material for NCO Class-8: fully solved questions with step-by-step explanation- practice your way to success.

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
264
232
216
28
24
22
1

(ii) 512

Find the Prime Factor of 512 Using Prime Factorization Method
2512
2256
2128
264
232
216
28
24
22
1

(iii) 10648

Find the Prime Factor of 10648 Using Prime Factorization Method
210648
25324
22662
111331
11121
1111
1

(iv) 27000

Find the Prime Factor of 27000 Using Prime Factorization Method
227000
213500
26750
33375
31125
3375
5125
525
55
1

(v) 15625

Find the Prime Factor of 15625 Using Prime Factorization Method
515625
53125
5625
5125
525
55
1