Trick To Find If The Number Is Perfect Cube Or Not

Let's say we are given a number, but we are still determining whether or not it is a perfect cube. Therefore, we calculate the number's digit sum and decide whether it is 0, 1, 8, or 9. We don't need to calculate the number to see if it is a perfect cube if it is not one of these four values. In other words, if the sum is not equal to 0, 1, 8, or 9, this method stops the process of prime factorisation.

Perfect Cubes Between 1 And 1000

2\times 2 \times 2=8 \\

3\times 3\times 3=27 \\

4\times 4\times 4=64 \\

5\times 5\times 5=125 \\

6\times 6\times 6=216 \\

7\times 7\times 7=343 \\

8\times 8\times 8=512\\

9\times 9\times 9=729 \\

8, 27, 64, 125, 216, 342, 512 and 729 are the perfect cubes from 1 to 1000. 1 and 1000 are also perfect cube, but it is not included in the list because the question says between 1 and 1000.