Find the cube root of 1728 by the prime factorization method.
Evaluate the Cube Root:
The given number is 1728.
After resolving the prime factors, we get
1728=2×2×2×2×2×2×3×3×3
Upon grouping the factors we get
1728=(2×2×2)×(2×2×2)×(3×3×3)
Taking one factor from each group
17283=2x2x3
=12
Hence, the required cube root is 12.