Question

Perfect cube may end with two 00._______​

Answer 1

Answer:

No, a perfect cube cannot end with 2 zeroes.

Let's take the example of the number 800.

800 = 2 x 2 x 2 x 10 x 10

Here, we can see that 2 can be put into a triplet, but 10 cannot. So because of the lack of an additional zero, 800 is not a perfect cube.

Let's take another example of 8000.

8000 = 2 x 2 x 2 x 10 x 10 x 10

Here, both 2 and 10 can be grouped into a triplet.

Thus, perfect cubes may end with either 3 zeroes or 3a number of zeroes where a is any natural number.

I hope this helps. :)