Practice Smallest Multiple That Is A Perfect Cube (6.2.2)

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6 sample questions

Question 1.
What is the prime factorization of 512?
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Remember that 512 is 2 raised to the power of 9.
Question 2.
Is 729 a perfect cube? If so, what is its cube root?
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Find the number that when multiplied by itself three times equals 729.
3Question 3.
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
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Consider 1, 8, 27, which are all cubes of whole numbers.
4Question 4.
Is 64 a perfect cube?
- True
- False
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Consider finding the cube root of 64.
Question 5.
Find the smallest number by which 216 must be multiplied to become a perfect cube.
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Analyze the prime factors of 216.
Question 6.
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.
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Look for the missing prime factors in groups of three.

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