The cube root of a number can be found by resolving the number into prime factors, making groups of 3 equal factors, picking out one of the equal factors from each group and multiplying the factors so picked.
1728 = \(\underline{2\times2\times2}\) x \(\underline{2\times2\times2}\) x \(\underline{3\times3\times3}\)
\(\sqrt[3] {1728}\) = 2 x 2 x 3 = 12
