Prime Factorization and Common Factors

The video tutorial covers the use of factor trees in solving mathematical problems, focusing on prime factorization, highest common factor, and lowest common multiple. It explains the process of creating factor trees, identifying prime numbers, and using these tools to solve complex problems. The tutorial also includes a challenge section to apply these concepts in advanced scenarios.

What is the prime factorization of 60?

• 2 × 3 × 5

• 2^3 × 3 × 5

• 2^2 × 3^2 × 5

• 2^2 × 3 × 5

Which of the following is the highest common factor of 60 and 42?

• 12

• 6

• 8

• 10

What is the prime factorization of 42?

• 2 × 3 × 7

• 2 × 3 × 5

• 3 × 3 × 7

• 2 × 2 × 7

How many twos are needed in the lowest common multiple of 56 and 60?

• 3

• 4

• 1

• 2

What is the lowest common multiple of 3 and 5?

• 25

• 10

• 15

• 20

Which operation is used to find multiples?

• Division

• Multiplication

• Subtraction

• Addition

What is the smallest square number that is a multiple of 60?

• 720

• 900

• 360

• 1200

What is the prime factorization of 100?

• 2^2 × 5^2

• 2 × 5^2

• 2^2 × 5

• 2 × 5

Which of the following is a square number?

• 45

• 64

• 81

• 72

What is the prime factorization of 36?

• 2^2 × 3

• 2 × 3^2

• 2^2 × 3^2

• 2 × 3