Prime Factorization and Factors

This video tutorial covers prime factorization, starting with an introduction to the concept and its importance in mathematics. It provides examples, such as finding factors of 24 through a garden scenario, and explores factors of various numbers like 21, 37, 42, and 30. The tutorial explains techniques for finding prime factorization using factor trees and ladder diagrams. It concludes with practice problems to reinforce the concepts learned.

What are the factors of 24?

• 1, 3, 5, 7, 9, 11

• 1, 2, 3, 4, 6, 8, 12, 24

• 1, 2, 4, 8, 16, 24

• 2, 3, 6, 12, 24

Which of the following is a prime number?

• 21

• 37

• 30

• 42

What is the prime factorization of 12?

• 2 x 6

• 3 x 4

• 2 x 2 x 3

• 1 x 12

Using a factor tree, what is the prime factorization of 240?

• 3^2 x 4 x 5

• 2^3 x 3 x 10

• 2^4 x 3 x 5

• 2^2 x 5 x 12

What is the prime factorization of 132 using a ladder diagram?

• 2^3 x 11

• 2 x 3^2 x 11

• 2 x 3 x 22

• 2^2 x 3 x 11

Which method can be used to find the prime factorization of a number?

• Factor tree

• Ladder diagram

• Both A and B

• None of the above

What are the factor pairs of 18?

• 1 and 18, 2 and 9, 3 and 6

• 1 and 18, 2 and 9, 4 and 5

• 1 and 18, 2 and 8, 3 and 5

• 1 and 9, 2 and 8, 3 and 6

What is the prime factorization of 54?

• 3^3

• 2 x 3 x 9

• 3 x 3 x 6

• 2 x 3^3

How do you know when you have found the prime factorization of a number?

• The sum of factors equals the original number

• All factors are even

• All factors are odd

• All factors are prime and multiply to the original number

What is the prime factorization of 32?

• 2^5

• 2^4 x 3

• 2^3 x 4

• 2 x 16