Podcast
Questions and Answers
What is the prime factorization of 330?
What is the prime factorization of 330?
- 2 × 3 × 11 × 15
- 3 × 5 × 7 × 11
- 2 × 3 × 5 × 11 (correct)
- 2 × 5 × 6 × 11
What is the greatest perfect square that is a factor of 686?
What is the greatest perfect square that is a factor of 686?
- 81
- 49 (correct)
- 36
- 64
What is the GCF of 74 and 30?
What is the GCF of 74 and 30?
- 1
- 2 (correct)
- 15
- 5
What is the LCM of 4 and 6?
What is the LCM of 4 and 6?
If Stoplight A changes colors every 25 seconds and Stoplight B every 60 seconds, how often do they change colors at the same time?
If Stoplight A changes colors every 25 seconds and Stoplight B every 60 seconds, how often do they change colors at the same time?
What is the expression for 4 multiplied by itself five times written as a power?
What is the expression for 4 multiplied by itself five times written as a power?
How should you evaluate $4^3$?
How should you evaluate $4^3$?
Which of the following powers has a value greater than 60 and less than 65?
Which of the following powers has a value greater than 60 and less than 65?
Is 42 a perfect square?
Is 42 a perfect square?
What is the total surface area of a cube with a side length of 4 centimeters?
What is the total surface area of a cube with a side length of 4 centimeters?
How much water, in cubic feet, is needed to fill a cube-shaped tank with edge lengths of 15 feet?
How much water, in cubic feet, is needed to fill a cube-shaped tank with edge lengths of 15 feet?
What does the Commutative Property of Multiplication state?
What does the Commutative Property of Multiplication state?
Which of the following is a correct factor pair of 50?
Which of the following is a correct factor pair of 50?
Study Notes
Powers and Exponents
- Express repeated multiplications as powers
- Calculate the value of powers
Area and Volume
- Calculate the area of a square given the side length
- The area of a square is the side length multiplied by itself
- Calculate the volume of a cube given the edge length
- The volume of a cube is the edge length multiplied by itself three times
Prime Factorization
- Identify prime factors of a number
- Find the greatest perfect square that is a factor of a number
- Prime factorization is writing a number as a product of its prime factors
Greatest Common Factor and Least Common Multiple
- Finding the GCF and LCM of numbers
- The GCF is the largest number that divides into two or more numbers
- The LCM is the smallest number that is a multiple of two or more numbers
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Description
Test your understanding of powers, prime factorization, and geometric calculations in this comprehensive mathematics quiz. You'll practice expressing repeated multiplications as powers, calculating areas and volumes, and finding greatest common factors and least common multiples. Challenge yourself to master these essential math concepts!
