Prime Numbers and Factorization Concepts

The video tutorial covers prime factorization, starting with an introduction and essential question. It defines key vocabulary such as composite numbers, prime numbers, and factors. The tutorial provides examples of factors using numbers 10 and 16, and explains how to write numbers in exponential form. It also demonstrates converting exponential form to expanded form. The video includes examples of prime factorization with numbers 12 and 27, and concludes with advanced examples using numbers 132 and 240.

What is a composite number?

• A number that is a product of two primes

• A number that cannot be divided

• A number divisible by multiple factors

• A number divisible by only 1 and itself

Which of the following is a prime number?

• 18

• 15

• 21

• 13

What are the factors of 10?

• 1, 2, 5, 10

• 1, 3, 5, 10

• 2, 4, 5, 10

• 1, 2, 4, 10

How would you express 2 multiplied by itself twice in exponential form?

• 2^1

• 2^2

• 2^4

• 2^3

What is the expanded form of 4^3?

• 4 x 4

• 4 + 4

• 4 x 4 x 4

• 4 + 4 + 4

What is the prime factorization of 12?

• 2^2 x 3

• 2 x 3^2

• 2 x 6

• 3 x 4

Which of the following is the prime factorization of 27?

• 9 x 3

• 3^3

• 3 x 3 x 3

• 3 x 9

What is the prime factorization of 132?

• 2 x 2 x 3 x 11

• 2 x 3 x 11

• 2^3 x 3 x 11

• 2^2 x 3 x 11

How many times does the factor 2 appear in the prime factorization of 240?

• 2 times

• 5 times

• 3 times

• 4 times

What is the final step in finding the prime factorization of a number?

• Adding all the factors

• Writing the number in exponential form

• Dividing the number by 2

• Writing the number in expanded form