MULTIPLES, FACTORS & PRIME NUMBERS

Multiples vs Factors Song



Factoring


Prime Factorization








Factor Trees (Example)

Finding the Greatest Common Factor Using Factor Trees






Finding the Least Common Multiple Using Factor Trees


TRY THIS!

Review of concepts:

1. Choose two composite (not prime) numbers and list the factors for each. Circle the ones they have in common. Which one is the greatest? You've found the Great Common Factor (GCF)

2. Choose two numbers above zero. List the multiples for each until you find one they have in common. You've found the Lowest Common Multiple (LCM)

3. Choose one prime number and one composite number above zero.  Explain how you know they are prime vs. composite.

4. Explain the difference between Factors and Multiples using examples. 

THIS IS WHAT THE QUIZ WILL BE ON:

5. Choose a composite number above 30. Use prime factorization to create a factor tree for it.

6. Choose two composite numbers above 30. Use prime factorization to create a factor tree to FIND THE GCF.

GCF Word Problem:
7. A florist has 78 marigolds, 44 roses, 60 daisies. She wants to create bouquets that have the greatest amount of each type of flower in equal amounts. 

How can she make the bouquets so that they have the greatest amounts of each flower in equal amounts? 

USE PRIME FACTORIZATION IN A FACTOR TREE TO FIND OUT THE GCF
*now try this question with different numbers, make up your own!

8. A pet store has 56 boxes of cat food, 48 boxes of dog food, and 40 boxes of bird seed. They are to be stacked for a display so that each stack has all dog food, all cat food and all bird seed BUT each stack must also have the same number of boxes.

What is the greatest number of boxes each stack can have?

USE PRIME FACTORIZATION IN A FACTOR TREE TO FIND OUT THE GCF. 

*now try this question with different numbers, make up your own!


LCM
9. Choose two composite numbers above 20. Use the prime factorization to create a factor tree to FIND THE LCM.

10. Saturn orbits the sun every 12 years, Jupiter every 30 years and Uranus every 84 years. In how many years from now will all 3 planets have the same position in the sky as they do today? USE PRIME FACTORIZATION IN A FACTOR TREE TO FIND OUT THE LCM

*now try this question with different numbers, make up your own! Prime factorization in real life! Link here.