Factoring Out the Greatest Common Factor in Algebra

This video tutorial introduces the concept of factoring expressions, emphasizing its importance and utility. It explains the difference between multiples and factors, using the number 12 as an example. The tutorial then delves into writing expressions in factored form and discusses prime factorization, illustrating how numbers can be broken down into their prime components. Finally, it covers the concept of the greatest common factor, demonstrating how to find the largest common factor between numbers.

What is a multiple of a number?

• A number that is a sum of two natural numbers.

• A number that is smaller than the given number.

• A number that is the product of a given number and a natural number.

• A number that can be divided by another number without a remainder.

Which of the following is NOT a factor of 12?

• 1

• 3

• 5

• 6

How do you write 12 in factored form?

• 11 + 1

• 1 x 12

• 12 - 0

• 6 + 6

Which of the following is the best factored form of 12?

• 3 x 4

• 3 x 2 x 2

• 1 x 12

• 2 x 6

What is the prime factorization of 525?

• 5 x 5 x 3 x 7

• 25 x 21

• 5 x 105

• 3 x 175

Which of the following numbers is a prime number?

• 21

• 19

• 12

• 25

What is the Greatest Common Factor (GCF) of 18 and 24?

• 9

• 3

• 6

• 2

Which of the following is NOT a factor of 24?

• 4

• 6

• 8

• 10

What is the GCF of 16, 32, and 54?

• 16

• 4

• 8

• 2

Which of the following is a common factor of 18 and 24?

• 5

• 6

• 7

• 8