How To Find The Perfect Cube?
We find perfect cube of a number by following these steps
Step 1. Start by performing the prime factorization of the number. This means breaking down the number into its prime factors (factors that are prime numbers).
Step 2. Once you have the prime factors, group them into sets of three identical factors.
Step 3. If there are any prime factors that cannot be grouped into sets of three, then the number is not a perfect cube.
Step 4. If all prime factors can be grouped into sets of three, then the number is a perfect cube. The cube root of the number is obtained by multiplying one factor from each group.
Example: Let’s find out if 216 is a perfect cube.
- Prime Factorization of 216: 216 = 2×2×2×3×3×3 = 216 = 2×2×2×3×3×3.
- Grouping: (2×2×2)(2×2×2) and (3×3×3)(3×3×3).
- Since all factors are grouped in sets of three, 216 is a perfect cube.
- Cube root of 216 is 2×3 = 6 (since 63 = 216 ).
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.
Let’s discuss the definition and list of perfect cubes of numbers along with the stepwise method to find them.
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