Find the cube root of 5832 by the prime factorization method.
Evaluate the Cube Root:
The given number is 5832.
After resolving the prime factors, we get
5832=3×3×3×3×3×3×2×2×2
Upon grouping the factors we get
5832=(3×3×3)×(3×3×3)×(2×2×2)
Taking one factor from each group
58323=3×3×2
=18
Hence, the required cube root is 18.