Which of the following are cubes of even natural numbers?
216, 512, 729, 1000, 3375, 13824
i) 216 = 23 × 33 = 63
It’s a cube of even natural number.
ii) 512 = 29 = (23)3 = 83
It’s a cube of even natural number.
iii) 729 = 33 × 33 = 93
It’s not a cube of even natural number.
iv) 1000 = 103
It’s a cube of even natural number.
v) 3375 = 33 × 53 = 153
It’s not a cube of even natural number.
vi) 13824 = 22 × 34 × 41
Its not even a cube.