Q. 1 D4.8( 17 Votes )

Find the cube root of the following numbers by prime factorization method.

2744

Answer :

Given, a number as 2744. We need to find out the cube root using prime factorization method.

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



2 × 2 × 2 × 7 × 7 × 7


Step 2: Make pairs of equal factors, we get


(2 × 2 × 2) × (7 × 7 × 7)


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


2 × 7 = 14


Hence, 14 is the cube root of the given number 2744 using prime factorization method


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