Prime Factorization and GCF/LCM Concepts

This video tutorial from MooMooMath and Science explains how to use prime factorization to find the least common multiple (LCM) and the greatest common factor (GCF) of two numbers. It begins with an introduction to the concepts of LCM and GCF, followed by detailed examples using the numbers 6 and 8. The tutorial demonstrates creating factor trees and prime factorization charts, applying rules to find the LCM and GCF, and provides a clear, step-by-step approach to understanding these mathematical concepts.

What is the Least Common Multiple (LCM) of two numbers?

• The difference between the two numbers

• The sum of the two numbers

• The smallest number that both numbers divide evenly into

• The largest number that divides both numbers evenly

Which of the following is a step in finding the LCM using prime factorization?

• Add the prime factors of both numbers

• Subtract the prime factors of both numbers

• Create factor trees for each number

• Multiply the prime factors of both numbers

What is the LCM of 6 and 8 using prime factorization?

• 30

• 12

• 18

• 24

What is the Greatest Common Factor (GCF) of two numbers?

• The sum of the two numbers

• The smallest number that both numbers divide evenly into

• The largest number that divides both numbers evenly

• The product of the two numbers

Which of the following is a step in finding the GCF using prime factorization?

• Create factor trees for each number

• Multiply the prime factors of both numbers

• Add the prime factors of both numbers

• Divide the prime factors of both numbers

What is the GCF of 6 and 8 using prime factorization?

• 1

• 2

• 3

• 4

When creating a prime factorization chart, what should you do if you have a vertical pair of factors?

• Ignore the pair

• Multiply the pair

• Use only one factor

• Use both factors

In the context of prime factorization, what is a factor tree?

• A diagram showing the product of factors

• A diagram showing the sum of factors

• A diagram showing the difference of factors

• A diagram showing the prime factors of a number

What is the first step in using prime factorization to find the LCM or GCF?

• Add the numbers

• Subtract the numbers

• Create factor trees

• Multiply the numbers

Why is it important to circle prime numbers in a factor tree?

• To identify numbers that can be ignored

• To identify numbers that are prime

• To highlight numbers that need to be multiplied

• To mark numbers that are not divisible