The perfect cube formula is m = ∛N, where 'N' is the perfect cube, and 'm' is the cube root of 'N'.
Given, N = 729, the cube root of 729 = ∛729.
Prime factorization of 729 = 3 × 3 × 3 × 3 × 3 × 3.
Now, we club each set of 3 factors, which are the same. Therefore, we get (3 × 3) × (3 × 3) × (3 × 3).
or 729 = (3 × 3)3 or 93
Therefore, cube root of 729 = 9
Hence, 729 is a perfect cube.
