Q. 1 B4.2( 14 Votes )

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Answer :

Given, a number as 729. We need to find out the cube root using prime factorization method.

Step 1: Resolve the given number into prime factors, we get



3 × 3 × 3 × 3 × 3 × 3


Step 2: Make pairs of equal factors, we get


(3 × 3 × 3) × (3 × 3 × 3)


Step 3: Choosing one factor out of every pair, we get


3 × 3


9


Hence, 9 is the cube root of the given number 729 using prime factorization method


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