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Questions and Answers
What is the prime factorization of 330?
What is the prime factorization of 330?
- 3 × 5 × 10 × 11
- 2 × 3 × 55
- 5 × 6 × 11
- 2 × 3 × 5 × 11 (correct)
What is the greatest perfect square factor of 686?
What is the greatest perfect square factor of 686?
- 49
- 121
- 64
- 196 (correct)
What is the GCF of 74 and 30?
What is the GCF of 74 and 30?
- 2 (correct)
- 15
- 5
- 1
What is the LCM of 4 and 6?
What is the LCM of 4 and 6?
If Stoplight A changes color every 25 seconds and Stoplight B changes color every 60 seconds, how frequently do they change color together?
If Stoplight A changes color every 25 seconds and Stoplight B changes color every 60 seconds, how frequently do they change color together?
What is the power representation of the expression $4 imes 4 imes 4 imes 4 imes 4$?
What is the power representation of the expression $4 imes 4 imes 4 imes 4 imes 4$?
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?
Which power has a value greater than 60 and less than 65?
Which power has a value greater than 60 and less than 65?
Is 42 a perfect square?
Is 42 a perfect square?
How many cubic feet of water is needed to fill a tank in the shape of a cube with edge lengths of 15 feet?
How many cubic feet of water is needed to fill a tank in the shape of a cube with edge lengths of 15 feet?
The area of a square garden with side lengths of 14 feet is?
The area of a square garden with side lengths of 14 feet is?
Using the Commutative Property of Multiplication, what is the value of $3 imes 4$?
Using the Commutative Property of Multiplication, what is the value of $3 imes 4$?
Identify the factor pairs of 50.
Identify the factor pairs of 50.
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Study Notes
Powers and Exponents
- 4 x 4 x 4 x 4 x 4 can be expressed as 45
- 45 is equal to 1024
- 62 is greater than 60 and less than 65
- 42 is not a perfect square because it does not have an integer that can be multiplied by itself to get 42
Area of a Cube
- A cube with sides of 4 cm has a total surface area of 96 cm2
- The total surface area of a cube is calculated by 6 x (side length)2
Area of a Square
- A square with sides of 14 feet has an area of 196 feet2
- The area of a square is calculated by (side length)2
Volume of a Cube
- A cube with edge lengths of 15 feet has a volume of 3,375 cubic feet
- The volume of a cube is calculated by (edge length)3
Factors and Prime Factors
- The factor pairs of 50 are 1 and 50, 2 and 25, 5 and 10
- The prime factorization of 330 is 2 x 3 x 5 x 11
Greatest Common Factor (GCF) and Least Common Multiple (LCM)
- The Greatest Common Factor of 74 and 30 is 2
- The Least Common Multiple of 4 and 6 is 12
- The Least Common Multiple is the smallest number that is a multiple of both numbers.
- The Greatest Common Factor is the largest number that is a factor of both numbers.
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