Prime Factorization and Properties

The video tutorial explains how to determine the prime factorization of 168 by using a factorization tree. It begins by defining prime numbers and demonstrating the process of breaking down 168 into its prime factors. The tutorial shows how to express the factorization in both expanded form and using exponents, emphasizing the importance of verifying the result. The video concludes with a reminder to check the directions for expressing the factorization and previews the next example in the following video.

What is a prime number?

• A number that is even

• A number with exactly two distinct factors

• A number with only one factor

• A number with more than two factors

What are the initial two factors of 168?

• 3 and 56

• 2 and 84

• 4 and 42

• 6 and 28

Tags

CCSS.4.OA.B.4

Which of the following is a prime factor of 84?

• 6

• 12

• 9

• 2

Tags

CCSS.4.OA.B.4

How can 42 be factored into prime numbers?

• 6 x 7

• 3 x 14

• 5 x 8

• 2 x 21

Tags

CCSS.4.OA.B.4

Which number is a prime factor of 42?

• 7

• 9

• 8

• 10

Tags

CCSS.4.OA.B.4

What is the prime factorization of 168 using exponents?

• 2^2 x 3 x 7

• 2 x 3 x 7^2

• 2^3 x 3 x 7

• 2 x 3^2 x 7

How many times does the factor 2 appear in the prime factorization of 168?

• 1

• 2

• 3

• 4

Why is it important to circle the prime factors during factorization?

• To confuse others

• To make it look neat

• To avoid forgetting any prime factors

• To make the process faster

What should you do to ensure the prime factorization is correct?

• Check if the product equals the original number

• Add all the factors

• Multiply the factors by 2

• Divide the factors by 3

What is the expanded form of the prime factorization of 168?

• 2 x 2 x 2 x 3 x 7

• 2 x 3 x 3 x 7

• 2 x 2 x 3 x 7

• 2 x 2 x 2 x 7