Exploring Prime Factorization Concepts

The video tutorial provides a comprehensive guide on prime factorization, starting with an introduction to organizing a test prep folder. It explains the concept of prime factorization, highlighting its role in breaking down numbers into prime numbers using a factor tree. The tutorial includes detailed examples of finding the prime factorization of 160 and 84, demonstrating different approaches and emphasizing the importance of writing results with exponents.

What is the primary purpose of the test prep folder?

• To keep track of your homework

• To use as a scrapbook

• To organize and fill out notes properly

• To store all your textbooks

What color should be used to highlight the 'Number Sense' section?

• Blue

• Red

• Green

• Yellow

What is a prime number?

• A number divisible by 4

• A number divisible by 1 and itself

• A number divisible by 2

• A number divisible by 3

Which two numbers are used to start the factor tree for 160?

• 8 and 20

• 10 and 16

• 2 and 80

• 4 and 40

How many times does the number 2 appear in the prime factorization of 160?

• 3 times

• 4 times

• 5 times

• 6 times

What is the prime factorization of 160 written with exponents?

• 2^4 * 5

• 2^5 * 5

• 2^3 * 5

• 2^6 * 5

What is the smallest prime number that goes into 84?

• 3

• 7

• 5

• 2

What is the prime factorization of 84 written with exponents?

• 2^2 * 3^2 * 7

• 2^3 * 3 * 7

• 2^2 * 3 * 5

• 2^2 * 3 * 7

What is the advantage of starting with the smallest prime number in the factor tree?

• It makes the tree symmetrical

• It ensures the numbers are in least to greatest order

• It makes the tree shorter

• It avoids using large numbers

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

• Adding all the prime numbers

• Dividing the number by the smallest prime

• Multiplying all the prime numbers

• Writing the prime factorization with exponents