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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the prime factorization of 512?
💡 Hint: Remember that 512 is 2 raised to the power of 9.
Question 2
Easy
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.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What defines a perfect cube?
- A number that is a prime
- A number that can be expressed as a sum of squares
- A number that can be expressed as n³ for some integer n
💡 Hint: Consider 1, 8, 27, which are all cubes of whole numbers.
Question 2
Is 64 a perfect cube?
- True
- False
💡 Hint: Consider finding the cube root of 64.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Find the smallest number by which 216 must be multiplied to become a perfect cube.
💡 Hint: Analyze the prime factors of 216.
Question 2
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.
Challenge and get performance evaluation