Prime Numbers and Factorization Concepts

This video tutorial explains the concept of prime factors and demonstrates how to find them using factor trees. It provides examples with numbers like 12, 220, and 112, showing step-by-step how to express these numbers as products of their prime factors. The video emphasizes that the order of factorization does not affect the final set of prime factors. The tutorial concludes with a brief summary of the process known as prime factorization.

What is a prime factor?

• A factor that is a composite number

• A factor that is a prime number

• A factor that is an even number

• A factor that is a multiple of 10

Which of the following are prime factors of 12?

• 1 and 12

• 2 and 3

• 6 and 12

• 4 and 6

Which of the following numbers is a prime number?

• 4

• 6

• 9

• 11

Which of the following is NOT a prime number?

• 2

• 5

• 4

• 3

What is the smallest prime number?

• 5

• 3

• 2

• 1

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

• To add all the prime numbers

• To multiply a set of prime numbers to get the original number

• To divide the number by its smallest factor

• To subtract prime numbers from the original number

Why can't we write 12 as 2 times 3 when expressing it as a product of its prime factors?

• Because 2 and 3 are not factors of 12

• Because 12 is not a prime number

• Because 2 times 3 equals 6, not 12

• Because 2 and 3 are not prime numbers

What is the prime factorization of 12?

• 2 x 2 x 3

• 2 x 3

• 3 x 3

• 2 x 2

What is a factor tree?

• A method to add numbers

• A method to find prime factors of a number

• A method to subtract numbers

• A method to divide numbers

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

• Multiply 220 by 2

• Divide 220 by 10

• Write 220 at the top of the page

• Write 220 at the bottom of the page