Exploring HCF and LCM with Venn Diagrams

The video tutorial covers finding the Highest Common Factor (HCF) and Lowest Common Multiple (LCM) of numbers. It begins with basic methods using lists to identify common factors and multiples, then progresses to more advanced techniques using factor trees and Venn diagrams. The tutorial includes examples and encourages viewer participation to reinforce learning.

What does the term 'factor' refer to in the context of whole numbers?

• A number that is a multiple of another number

• A number that divides another number exactly

• A number that is greater than another number

• A number that is less than another number

Which of the following is a prime number?

• 7

• 15

• 9

• 10

What is the highest common factor (HCF) of 9 and 15?

• 3

• 1

• 5

• 9

What is the lowest common multiple (LCM) of 6 and 15?

• 30

• 60

• 90

• 120

Which method is more efficient for finding the HCF and LCM of larger numbers?

• Prime factorization and Venn diagrams

• Using a calculator

• Guess and check

• Listing method

What is the first step in using the prime factorization method?

• Listing all multiples

• Drawing a factor tree

• Finding common factors

• Using a Venn diagram

What are the prime factors of 24?

• 2, 3, 4

• 2, 2, 2, 3

• 3, 4, 6

• 2, 3, 5

In a Venn diagram, where do you place the common prime factors?

• In the overlapping section

• In the right circle

• In the left circle

• Outside the circles

What is the HCF of 24 and 60 using the prime factorization method?

• 6

• 12

• 8

• 24

What is the LCM of 24 and 60 using the prime factorization method?

• 60

• 120

• 240

• 180