You are told that 1331 is a perfect cube. Can you guess without factorisation what is its cube root?

The given number is 1331. Let us form groups of three digits starting from the rightmost digit. Therefore, the two groups are 1 and 331. Consider the group 331. We take the unit's place of the required cube root as 1. Consider the group 1. The unit's place of 1 is 1 itself. So, we take 1 as the ten's place of the cube root of 1331 as 1. Thus, ³√1331 = 11. Similarly, 4913 → 4 and 913 → ³√4913 = 17. 12167 → 12 and 167 → ³√12167 = 23. 32768 → 32 and 768 → ³√32768 = 32