Understanding Prime and Composite Numbers

This video tutorial introduces the concepts of prime and composite numbers, explaining how to identify prime numbers and perform prime factorization. It covers examples of prime numbers from 1 to 40 and demonstrates how to break down composite numbers into their prime factors using factor trees. The lesson concludes with practice problems to reinforce the concepts learned.

Why is understanding numbers important for algebra?

• It is only useful for calculus.

• It only helps in geometry.

• It is not important for algebra.

• It helps in solving algebraic equations and problems.

What is a prime number?

• A number that is odd.

• A number that is even.

• A number with multiple factors.

• A number with only two factors: itself and one.

Which of the following is a composite number?

• 29

• 19

• 13

• 10

Which number is not a prime number from 1 to 40?

• 39

• 37

• 31

• 23

What is the smallest prime number?

• 1

• 5

• 2

• 3

How can you break down a composite number into prime factors?

• By dividing by one.

• By multiplying by zero.

• By adding the digits.

• Using a factor tree.

What are the prime factors of 84?

• 2, 3, 7

• 2, 4, 6

• 1, 2, 3

• 3, 5, 7

What is the prime factorization of 120?

• 3 × 4 × 5

• 2 × 3 × 4

• 2 × 2 × 2 × 3

• 2^3 × 3 × 5

How many twos are in the prime factorization of 640?

• 5

• 8

• 7

• 6

What is the prime factorization of 2,520?

• 2^2 × 3 × 5 × 7

• 2 × 3 × 5 × 7

• 2^3 × 3 × 5

• 2^3 × 3^2 × 5 × 7