Exploring Prime Factorization with Exponents

The video tutorial explains prime factorization using factor trees and exponents. It provides examples with numbers 8, 24, 44, and 32, demonstrating how to break down numbers into their prime factors and express them using exponential notation for conciseness.

What is the purpose of using factor trees in prime factorization?

• To find the sum of prime numbers

• To break down a number into its prime factors

• To multiply prime numbers

• To add exponents to prime numbers

Which of the following is a prime number?

• 8

• 4

• 6

• 2

How can the prime factorization of 8 be written using exponents?

• 2^5

• 2^2

• 2^4

• 2^3

Which of the following is NOT a factor pair of 24?

• 5 x 5

• 3 x 8

• 4 x 6

• 2 x 12

What is the prime factorization of 24 using exponents?

• 2^3 x 3

• 2^3 x 2

• 2^2 x 3

• 2^4 x 3

What is the prime factorization of 44 using exponents?

• 2^2 x 3

• 2^3 x 11

• 2 x 11

• 2^2 x 11

Which of the following is a factor pair of 44?

• 2 x 22

• 4 x 11

• 3 x 15

• 5 x 9

How many 2's are there in the prime factorization of 32?

• 3

• 4

• 5

• 6

What is the prime factorization of 32 using exponents?

• 2^6

• 2^3

• 2^5

• 2^4

What is the result of 2^5?

• 64

• 16

• 24

• 32