Prime Factorization and GCF Concepts

The video tutorial explains how to use prime factors to identify the greatest common factor (GCF) of numbers. It introduces the concept of factor trees as a method for prime factorization. The tutorial provides two examples: finding the GCF of 12 and 56, and the GCF of 20 and 45, using factor trees to break down numbers into their prime factors and identify common factors.

What is the purpose of using prime factors in mathematics?

• To calculate the sum of numbers

• To identify the greatest common factor

• To determine the average of numbers

• To find the smallest number

Which two numbers multiply to give 12 in the factor tree method?

• 2 and 6

• 3 and 4

• 1 and 12

• 5 and 7

What are the prime factors of 12?

• 2, 2, 3

• 3, 3, 2

• 4, 3, 1

• 6, 2, 1

Which number is a prime factor of 56?

• 8

• 6

• 4

• 7

What is the greatest common factor of 12 and 56?

• 2

• 4

• 3

• 6

What is the first step in finding the GCF of 20 and 45 using factor trees?

• Break down 45 into 5 and 9

• Add the numbers

• Multiply the numbers

• Break down 20 into 2 and 10

What are the prime factors of 20?

• 4, 5, 1

• 2, 2, 5

• 6, 2, 1

• 3, 3, 5

What are the prime factors of 45?

• 4, 5, 1

• 6, 2, 1

• 5, 5, 1

• 3, 3, 5

Which number is the greatest common factor of 20 and 45?

• 3

• 10

• 2

• 5

What is the significance of circling numbers in the factor tree method?

• To identify prime numbers

• To highlight composite numbers

• To denote odd numbers

• To mark even numbers