6.2.1 - Some interesting patterns
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Practice Questions
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What is 1³?
💡 Hint: Think of the smallest number to cube.
Is 8 a perfect cube?
💡 Hint: What integer gives you 8 when multiplied three times?
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a perfect cube?
💡 Hint: Think about exponentiation.
Is 1³ equal to 1?
💡 Hint: Consider the result of cubing the smallest integer.
2 more questions available
Challenge Problems
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Given the number 729, use prime factorization to determine if it is a perfect cube.
💡 Hint: Group the factors carefully to check their triplet presence.
Express 125 as a sum of consecutive odd numbers and check how many are used.
💡 Hint: Count the odd numbers up to when sums reach the target.
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