6.2.2 - Smallest multiple that is a perfect cube
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Practice Questions
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What is the prime factorization of 512?
💡 Hint: Remember that 512 is 2 raised to the power of 9.
Is 729 a perfect cube? If so, what is its cube root?
💡 Hint: Find the number that when multiplied by itself three times equals 729.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a perfect cube?
💡 Hint: Consider 1, 8, 27, which are all cubes of whole numbers.
Is 64 a perfect cube?
💡 Hint: Consider finding the cube root of 64.
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Challenge Problems
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Find the smallest number by which 216 must be multiplied to become a perfect cube.
💡 Hint: Analyze the prime factors of 216.
If a number 8925 is not a perfect cube, determine what smallest number would need to be multiplied to make it a cube and show your working.
💡 Hint: Look for the missing prime factors in groups of three.
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