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

2744

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