Greatest Common Factor and Prime Numbers

In this video, Miss Morin introduces Unit 8, focusing on factors and the greatest common factor (GCF). The lesson covers definitions of prime and composite numbers, explains factorizations and prime factorizations, and demonstrates how to find the GCF of numbers and monomials. Students are encouraged to practice these concepts through examples and exercises.

What is the main topic introduced in Unit 8?

• Geometry and Shapes

• Algebraic Expressions

• Factors and Greatest Common Factor

• Fractions and Decimals

Which two numbers multiply to 21 and add to 10?

• 5 and 6

• 7 and 3

• 4 and 5

• 8 and 2

What is a prime number?

• A number that is odd

• A number with multiple factors

• A number divisible by 1 and itself only

• A number that is even

Which of the following is a composite number?

• 5

• 2

• 3

• 4

What are factors?

• Numbers that are subtracted to get a difference

• Numbers that are added to get a sum

• Numbers that are multiplied to get a product

• Numbers that are divided to get a quotient

What is the prime factorization of 60?

• 2 * 3^2 * 5

• 2^2 * 3 * 5

• 2^3 * 3 * 5

• 2 * 3 * 5^2

What is the greatest common factor (GCF)?

• The largest factor two numbers have in common

• The smallest factor two numbers have in common

• The sum of all factors of a number

• The product of all factors of a number

What is the GCF of 25 and 60?

• 15

• 10

• 5

• 1

How do you find the GCF of monomials?

• By finding the GCF of the coefficients and the smallest exponent of common variables

• By multiplying the coefficients

• By adding the coefficients

• By dividing the coefficients

What is the GCF of 8x^2y and 25y^3?

• 25y^3

• 8x^2

• y

• 8y