You are told that 1,331 is a perfect cube. Can you guess without factorisation what is its cube root? Similarly, guess the cube roots of 4913, 12167, 32768.

Explanation

To find the cube roots of the given perfect cubes without factorization, we can use the properties of cubes and their last digits. Here’s a step-by-step solution for each number:

### Step 1: Finding the cube root of 1331

1. **Identify the range**:
- The cube of 10 is \(10^3 = 1000\).
- The cube of 20 is \(20^3 = 8000\).
- Since \(1331\) is between \(1000\) and \(8000\), the cube root must be between \(10\) and \(20\).
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