Which of the following are not perfect cubes?

A perfect cube is defined as the product of three same integers. To check if a number n is a perfect cube or not, we check whether an integer, when multiplied by itself thrice, gives the number n or not.
(i) 216 = 2 × 2 × 2 × 3 × 3 × 3 = 2³ × 3³ = (2 × 3)³ [Since am × bm = (ab)m]
So, 216 is a perfect cube.
(ii) 128 = 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2³ × 2³ × 2 = 4³ × 2
So, 128 is not a perfect cube.
(iii) 1000 = 2 × 2 × 2 × 5 × 5 × 5 = 2³ × 5³ = (2 × 5)³ [since, am × bm = (ab)m] = 10³
So, 1000 is a perfect cube.
(iv) 100 = 2 × 2 × 5 × 5 = 10²
So, 100 is not a perfect cube.
(v) 46656 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 = 2⁶ × 3⁶ = (2²)³ × (3²)³ = 4³ × 9³ [Since, (am)n = am × n] = (9 × 4)³ [ Since, am × bm = (ab)m] = (36)³
So, 46656 is a perfect cube.