Sarthaks Test
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Find the cube root of each of the following numbers by prime factorisation method.

(i) 64

(ii) 512

(iii) 10648

(iv) 27000

(v) 15625

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(i) Prime factorisation of 64 = 2 x 2 x 22 x 2 x 2

∴  3√64 = 2 x 2 = 4

(ii) Prime factorisation of 512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

∴  3√512 = 2 x 2 x 2 = 8

(iii) Prime factorisation of 10648 = 2 x 2 x 2 x 11 x 11 x 11

∴  3√10648 = 2 x 11 = 22

(iv) Prime factorisation of 27000 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5

∴  3√27000 = 2 x 3 x 5 = 30

(v) Prime factorisation of 15625 = 5 x 5 x 5 x 5 x 5 x 5

∴  3√15625 = 5 x 5 = 25

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