Find the cube root of 13824 by the prime factorization method.
Evaluate the Cube Root:
The given number is 13824.
After resolving the prime factors, we get
13824=2x2x2x2x2x2x2x2x2x3x3x3
Upon grouping the factors we get
13824=(2x2x2)x(2x2x2)x(2x2x2)x(3x3x3)
Taking one factor from each group
138243=2x2x2x3
=24
Hence, the required cube root is 24.