Cube root – Prime Factorization

Cube Root - Prime Factorization Method To find the cube root using the prime factorization method Step I:  Factorize into prime factors. Step II:  Make a group of 3 factors. Step III:  Take out one factor from each group.

1. Find the Cube root of 512 by prime factorization method. Solution: Step 1: Factorize into prime factors, we get Step 2: Make a group of 3 factors.  Step 3: Take out one factors from each pair 512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 ∛512 = 2 x 2 x 2 = 8 Therefore, ∛512 = 8

2. Find the Cube root of 4096 by prime factorization method. Solution: Step 1: Factorize into prime factors, we get Step 2: Make a group of 3 factors.  Step 3: Take out one factors from each pair 4096 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 4096 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 ∛ 4096 = 2 x 2 x 2 x 2 ∛ 4096 = 16 Therefore, ∛ 4096 = 16

Try these Evaluate Evaluate 5832