Prime Factorization and Composite Numbers

In this video, Mr. J explains the concept of prime factorization, which involves breaking down numbers into their prime factors. He provides detailed examples using the numbers 24, 75, and 84, demonstrating different paths to achieve the same result. The video emphasizes understanding the difference between prime and composite numbers and offers a step-by-step approach to finding prime factors.

What is a prime number?

• A number that is even

• A number with only one factor

• A number with exactly two factors

• A number with more than two factors

Which of the following is a composite number?

• 5

• 3

• 4

• 2

What are the prime factors of 24?

• 3, 3, 2

• 2, 2, 2, 3

• 2, 3, 4

• 2, 2, 3, 3

Which of the following is a correct factorization path for 24?

• 24 = 8 x 3 = 2 x 4 x 3

• 24 = 4 x 6 = 2 x 2 x 3

• 24 = 12 x 2 = 6 x 2 = 3 x 2 x 2

• 24 = 6 x 4 = 3 x 2 x 2

What is the prime factorization of 75?

• 5 x 3 x 3

• 3 x 5 x 5

• 5 x 5 x 3

• 3 x 3 x 5

Which number is a factor of 75?

• 4

• 5

• 6

• 2

What are the prime factors of 84?

• 2, 3, 3, 7

• 3, 3, 2, 7

• 2, 2, 3, 7

• 2, 2, 2, 7

Which of the following is a correct factorization path for 84?

• 84 = 21 x 4 = 7 x 3 x 2

• 84 = 42 x 2 = 6 x 7 = 3 x 2 x 7

• 84 = 28 x 3 = 14 x 2 = 7 x 2 x 2

• 84 = 42 x 2 = 21 x 2 = 7 x 3 x 2

Which of the following is a prime number?

• 21

• 17

• 15

• 9

What is the result of multiplying all the prime factors of 84?

• 126

• 84

• 42

• 168