Explore the Concept
Before starting the worksheet, let's review the main idea. A number is a perfect cube if its prime factors can all be grouped into triplets. Use the tool below to see this principle in action with any number you choose.
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Section A: Is it a Perfect Cube?
For this section, determine if a number is a perfect cube. Enter a number into the checker, or click the examples from the worksheet. The tool will show you the prime factors and tell you the result.
Worksheet Examples:
Your analysis will appear here.
Sections B & C: Making Perfect Cubes
These challenges require you to find the smallest number needed to make a perfect cube by either multiplication or division. Analyze the prime factors for each number and enter your answer to check your work.