Prime Factorization Concepts and Problems

This video tutorial explains the concept of prime factors and how to find them using factor trees. It begins with a definition of prime factors and demonstrates the process using the number 12. The tutorial then introduces factor trees as a method for finding prime factors of more complex numbers, providing examples with the numbers 220 and 112. The video concludes with a summary of the prime factorization process.

What is a prime factor?

• A factor that is an even number

• A factor that is a prime number

• A factor that is a composite number

• A factor that is a multiple of 10

Which of the following are prime factors of 12?

• 4 and 6

• 2 and 3

• 6 and 12

• 1 and 12

What does it mean to write a number as a product of its prime factors?

• To add all the prime numbers that are factors

• To subtract the prime factors from the number

• To multiply a set of prime factors to get the number

• To divide the number by its smallest factor

How can 12 be expressed as a product of its prime factors?

• 3 x 4

• 1 x 12

• 2 x 3

• 2 x 2 x 3

What is the first step in using a factor tree for the number 220?

• Subtract 10 from 220

• Multiply 220 by 2

• Write 220 at the top of the page

• Divide 220 by 5

Which of the following is a correct factorization step for 220?

• 220 into 50 and 4

• 220 into 11 and 20

• 220 into 110 and 2

• 220 into 100 and 2

What is the prime factorization of 220?

• 2 x 5 x 10

• 11 x 10 x 2

• 5 x 5 x 2

• 2 x 2 x 5 x 11

How can 112 be expressed as a product of its prime factors?

• 2 x 2 x 2 x 3 x 7

• 2 x 3 x 3 x 7

• 2 x 2 x 2 x 2 x 7

• 2 x 2 x 3 x 7

What is the term used for rewriting a number as a product of its prime factors?

• Prime subtraction

• Prime factorization

• Prime addition

• Prime multiplication

What is the prime factorization of 112?

• 2^4 x 7

• 2 x 7

• 2^3 x 7

• 2^2 x 7