Prime Factorization Concepts and Problems

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 overview of the process known as prime factorization.

What is a prime factor?

• A factor that is a multiple of 10

• A factor that is a composite number

• A factor that is a prime number

• A factor that is an even number

Which of the following are prime factors of 12?

• 2 and 3

• 4 and 6

• 1 and 12

• 6 and 12

How can you express 12 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 to find prime factors?

• Circle all numbers

• Divide the number by 10

• Write the number at the top

• Multiply the number by 2

Which of the following is a correct factorization of 220 using prime factors?

• 2 x 2 x 5 x 11

• 5 x 11 x 2

• 2 x 5 x 10 x 11

• 2 x 11 x 10

What is the prime factorization of 112?

• 2 x 56

• 2^4 x 7

• 2^3 x 14

• 2^2 x 28

What does the term 'express' mean in the context of prime factorization?

• To write or show

• To subtract a number

• To multiply a number

• To divide a number

What is the process of rewriting a number as a product of its prime factors called?

• Prime addition

• Prime factorization

• Prime division

• Prime multiplication

Why does the order of factorization not matter in finding prime factors?

• Because the factors are different

• Because the numbers are odd

• Because the numbers are even

• Because the factors are always the same

What is the final step in the prime factorization process?

• Writing the factors in ascending order

• Multiplying all factors

• Subtracting all factors

• Adding all factors