Understanding Prime Factorization and Inequalities

The video tutorial covers prime numbers, explaining their properties and how to perform prime factorization using factor trees. It then moves on to solving systems of equations using substitution, providing a step-by-step example. Finally, it discusses solving one-variable inequalities, including how to express solutions in interval and set notation.

What is a prime number?

• A number that is odd

• A number that is even

• A number divisible by 1 and itself only

• A number with more than two factors

Which of the following is a prime number?

• 6

• 4

• 11

• 9

Which of the following numbers is not a prime number?

• 2

• 3

• 4

• 5

What is the prime factorization of 32?

• 2 x 3 x 5

• 3 x 3 x 3

• 5 x 5 x 5

• 2 x 2 x 2 x 2 x 2

What is a factor tree used for?

• To divide numbers

• To multiply numbers

• To find the prime factors of a number

• To add numbers

What is the prime factorization of 8?

• 2 x 2 x 2

• 5 x 5

• 2 x 3

• 3 x 3

What is the first step in creating a factor tree?

• Divide the number

• Break down the number into factors

• Multiply the number

• Add the number

What is the prime factorization of 4?

• 3 x 3

• 2 x 3

• 5 x 5

• 2 x 2

What is the prime factorization of 16?

• 5 x 5

• 3 x 3 x 3

• 2 x 3 x 3

• 2 x 2 x 2 x 2

What is the prime factorization of 9?

• 2 x 2

• 5 x 5

• 2 x 3

• 3 x 3