Properties of Perfect Cubes
Let’s discuss some important properties of perfect cubes.
| Property | Description |
|---|---|
| Result of Cubing an Integer | A perfect cube is the result of multiplying an integer by itself twice. |
| Negative Numbers Can Form Perfect Cubes | Negative integers can form perfect cubes, e.g., (−3)3 = −27 |
| Unique Cubes for Each Integer | Each integer has a unique cube. No two different integers have the same cube. |
| Zero is a Perfect Cube | Zero is considered a perfect cube because 03 = 0. |
| Digit Pattern | Units digit of a perfect cube can only be 0, 1, 4, 5, 6, or 9. |
| Factors | If a number is a perfect cube, then its prime factors are grouped in triples. |
| Roots | Cube root of a perfect cube is an integer. |
| Geometric Representation | In geometry, a perfect cube represents a three-dimensional space with equal sides. |
Related Article:
Perfect Cubes – Definition, List, Chart and Examples
Perfect cubes are numbers that result from multiplying an integer by itself twice. A number is said to be a perfect cube if it can be decomposed into a product of the same number thrice.
List of Perfect Cubes
Let’s discuss the definition and list of perfect cubes of numbers along with the stepwise method to find them.
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