Mastering Prime Factorization Techniques

What is a prime number?

• A number that is even.

• A number with more than two factors.

• A number with exactly two factors.

• A number with only one factor.

Which of the following is a composite number?

• 5

• 4

• 3

• 2

What are the prime factors of 24?

• 2, 3, 4

• 2, 2, 2, 2

• 2, 2, 2, 3

• 3, 3, 2

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

• 24 -> 12 -> 6 -> 2

• 24 -> 12 -> 6 -> 3 -> 2 -> 1

• 24 -> 12 -> 6 -> 3

• 24 -> 12 -> 6 -> 3 -> 2

What are the prime factors of 75?

• 3, 5, 15

• 3, 5, 5

• 3, 3, 5

• 5, 5, 5

Which of the following is a correct factorization path for 75?

• 75 -> 25 -> 5 -> 1

• 75 -> 25 -> 5 -> 5

• 75 -> 15 -> 5 -> 3

• 75 -> 25 -> 5 -> 2

What are the prime factors of 84?

• 2, 2, 2, 7

• 2, 3, 7

• 2, 2, 3, 7

• 2, 3, 3, 7

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

• 84 -> 42 -> 21 -> 7

• 84 -> 42 -> 6 -> 3 -> 1

• 84 -> 42 -> 6 -> 3 -> 2

• 84 -> 42 -> 21 -> 3

What is the product of the prime factors of 84?

• 168

• 42

• 126

• 84

What is the purpose of prime factorization?

• To multiply prime numbers.

• To identify composite numbers.

• To break down a number into its prime factors.

• To find the sum of prime numbers.