Prime Factorization and Venn Diagrams

The video tutorial explains how to express the numbers 24 and 28 as products of prime factors. It then demonstrates using a Venn diagram to find the highest common factor (HCF) and the lowest common multiple (LCM) of these numbers. The tutorial covers placing common and unique prime factors in the Venn diagram and calculating the HCF and LCM by multiplying the appropriate factors.

What is the prime factorization of 24?

• 2 * 2 * 2 * 3

• 2 * 3 * 4

• 2 * 2 * 3

• 3 * 3 * 2

Which of the following is the prime factorization of 28?

• 2 * 3 * 5

• 2 * 2 * 2

• 2 * 2 * 7

• 3 * 3 * 3

What is the purpose of using a Venn diagram in this context?

• To find the sum of numbers

• To multiply numbers

• To identify common and unique prime factors

• To draw circles

Which number is a common prime factor of both 24 and 28?

• 7

• 2

• 5

• 3

Where do you place a prime factor that is common to both numbers in a Venn diagram?

• In the intersection

• Outside the circles

• In the right circle

• In the left circle

Which prime factor is unique to 24?

• 2

• 7

• 3

• 5

Where should the number 7 be placed in the Venn diagram?

• In the circle for 28

• Outside the circles

• In the circle for 24

• In the intersection

How do you find the highest common factor using a Venn diagram?

• By dividing numbers in the intersection

• By adding all numbers in the circles

• By multiplying numbers in the intersection

• By subtracting numbers in the intersection

What is the highest common factor of 24 and 28?

• 8

• 2

• 6

• 4

What does the lowest common multiple represent?

• The largest number divisible by both numbers

• The smallest number divisible by both numbers

• The difference between both numbers

• The sum of both numbers