Prime Factorization Concepts and Applications

The video tutorial explains how to determine the prime factorization of 60 by identifying the prime numbers that multiply to give 60. It introduces the concept of prime numbers and demonstrates the process of creating a prime factorization tree. The tutorial further explains how to express the prime factorization in both expanded form and using exponents, emphasizing the importance of ordering the prime factors from least to greatest.

What is a prime number?

• A number with exactly two factors: one and itself

• A number that is even

• A number that is odd

• A number with more than two factors

What is the first step in creating a prime factorization tree for 60?

• Find two even numbers that multiply to 60

• Find two prime numbers that multiply to 60

• Find two numbers that multiply to 60

• Find two numbers that add up to 60

Which of the following is a prime factor of 6?

• 4

• 8

• 6

• 2

What are the prime factors of 10?

• 2 and 5

• 5 and 7

• 3 and 5

• 2 and 3

How can the prime factorization of 60 be expressed in expanded form?

• 2 * 3 * 5

• 2 * 2 * 3 * 5

• 3 * 3 * 5

• 2 * 5 * 5

How is 2 * 2 expressed using exponents?

• 2^0

• 2^1

• 2^2

• 2^3

What is the exponent form of the prime factorization of 60?

• 2^2 * 3 * 5

• 2^2 * 5

• 3^2 * 5

• 2^3 * 3 * 5

Why is it important to express the prime factorization in the correct form?

• To simplify subtraction

• To ensure accuracy in calculations

• To make it easier to add numbers

• To convert numbers to decimals

What will be covered in the next video?

• Another example of prime factorization

• How to subtract prime numbers

• How to add prime numbers

• The history of prime numbers