Mastering Prime Factorization and Factor Trees

The video tutorial explains prime factorization, starting with a review of factors and prime numbers. It describes how every composite number can be broken down into a unique set of prime factors using factor trees. Examples are provided for numbers up to 15, and the process is demonstrated with the numbers 18 and 48. The use of exponential notation to simplify repeated factors is also covered, emphasizing that different methods yield the same prime factors.

What are factors?

• Numbers that add up to another number

• Numbers that subtract to get another number

• Numbers that divide another number

• Numbers that multiply together to get another number

Tags

CCSS.4.OA.B.4

Which of the following is a prime number?

• 9

• 6

• 11

• 4

Tags

CCSS.4.OA.B.4

What is a composite number?

• A number with exactly two factors

• A number made up of various parts

• A number that cannot be divided

• A number that is always even

Tags

CCSS.4.OA.B.4

What are the prime factors of 6?

• 2 and 2

• 2 and 3

• 3 and 3

• 1 and 6

Tags

CCSS.6.EE.A.1

How do you represent repeated factors in prime factorization?

• By using subtraction

• By listing them multiple times

• By using addition

• By using exponents

Tags

CCSS.6.EE.A.1

What is the prime factorization of 18?

• 2 x 9

• 3 x 6

• 2 x 3 x 3

• 2 x 2 x 3

In prime factorization, what is the standard way of listing prime factors?

• From smallest to largest

• From largest to smallest

• In any order

• Alphabetically

What is the prime factorization of 48?

• 2 x 2 x 2 x 2 x 3

• 3 x 16

• 4 x 12

• 2 x 24

How many times does the factor 2 appear in the prime factorization of 48?

• 2 times

• 3 times

• 5 times

• 4 times

Tags

CCSS.6.EE.A.1

What is the exponential notation for the prime factorization of 48?

• 2^4 x 3

• 2^3 x 3

• 2^2 x 3

• 2^5 x 3

Tags

CCSS.6.EE.A.1