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Mathematics Powers and Factors Quiz

Created by

@GodGivenDulcimer

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Questions and Answers

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?

49 (correct)

What is the GCF of 74 and 30?

2 (correct)

What is the LCM of 4 and 6?

12 Signup and view all the answers

If Stoplight A changes colors every 25 seconds and Stoplight B every 60 seconds, how often do they change colors at the same time?

300 seconds Signup and view all the answers

What is the expression for 4 multiplied by itself five times written as a power?

$4^5$ Signup and view all the answers

How should you evaluate $4^3$?

$4 × 4 × 4$ Signup and view all the answers

Which of the following powers has a value greater than 60 and less than 65?

$4^3$ Signup and view all the answers

Is 42 a perfect square?

No, because it is between the squares of 6 and 7 Signup and view all the answers

What is the total surface area of a cube with a side length of 4 centimeters?

64 cm² Signup and view all the answers

How much water, in cubic feet, is needed to fill a cube-shaped tank with edge lengths of 15 feet?

3375 ft³ Signup and view all the answers

What does the Commutative Property of Multiplication state?

A × B = B × A Signup and view all the answers

Which of the following is a correct factor pair of 50?

(1, 50) Signup and view all the answers

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!