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In order of finding cube root by prime factorization we use the following steps :1) ∛64

64 = 2 x 32

= 2 x 2 x 16

= 2 x 2 x 2 x 8

= 2 x 2 x 2 x 2 x 4

=

There are two groups, so from each group take one factor

∴ ∛64 = 2 x 2

∴

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2)

∛13824 Solution :After resolving the prime factors, we get 13824 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 Grouping = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3Taking one factor from each group ∛13824 = 2 x 2 x 2 x 3 ∛13824 = 24 |

• Cube of Numbers

• Perfect Cube

• Properties of Cube

• Cube by Column method

• Cube of Negative numbers

• Cube of Rational numbers

• Cube Root

• Finding cube root by Prime Factorization

• Cube root of Rational numbers

• Estimating cube root

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