Finding the GCF and Simplifying with Prime Numbers

Mr. Chrysler's lesson covers simplifying numbers and finding the greatest common factor (GCF). The class reviews prime numbers and learns to break down numbers into their prime factors. Using these factors, students find the GCF of given numbers and simplify them. The lesson includes examples and practice problems to reinforce understanding. Students are encouraged to complete a problem independently and submit their work.

What is a prime number?

• A number that can be divided by any whole number.

• A number that can be divided by any number without a decimal.

• A number that can only be divided by 1 and itself without a decimal.

• A number that can be divided by 2 and 3 without a decimal.

Which of the following is a prime number?

• 6

• 9

• 4

• 7

What is the prime factorization of 24?

• 2 x 2 x 3 x 3

• 3 x 3 x 2

• 2 x 3 x 4

• 2 x 2 x 2 x 3

What is the prime factorization of 30?

• 2 x 3 x 4

• 2 x 3 x 5

• 3 x 5 x 2

• 2 x 2 x 3 x 5

What is the GCF of 24, 30, and 36?

• 2

• 3

• 6

• 12

How do you find the GCF of multiple numbers?

• Find the lowest prime factor they all share.

• Multiply all the numbers together.

• Find the highest prime factor they all share.

• Add all the numbers together.

What is 24 divided by its GCF with 30 and 36?

• 4

• 8

• 12

• 6

What is -30i divided by the GCF of 24, 30, and 36?

• -3i

• -6i

• -5i

• -4i

What is the prime factorization of 48?

• 2 x 2 x 2 x 2 x 3

• 2 x 2 x 2 x 3 x 3

• 2 x 2 x 3 x 3

• 2 x 3 x 4 x 2

What is the GCF of 3, 24, and 48?

• 1

• 2

• 3

• 4