Understanding Greatest Common Factor and Prime Factorization

The video tutorial explains how Ramona can use the greatest common factor (GCF) to distribute 36 candies and 60 toys into identical party favor bags. It introduces the concept of GCF, describes how to find it using prime factorization, and applies it to solve the problem. The GCF of 36 and 60 is calculated to be 12, allowing Ramona to create 12 identical bags, each containing 3 candies and 5 toys. The tutorial concludes with a summary of the process and its application.

What is the main problem Ramona is trying to solve for her party?

• How to invite the most guests

• How to bake a cake

• How to decorate the party venue

• How to make the most identical party favor bags

What does the greatest common factor (GCF) represent in this context?

• The number of guests invited

• The total number of toys

• The largest number of identical groups

• The smallest number of candies

Which method is introduced to find the greatest common factor?

• Division

• Addition

• Subtraction

• Prime Factorization

What is the prime factorization of 36?

• 2 x 2 x 3 x 3

• 2 x 2 x 5

• 2 x 3 x 5

• 3 x 3 x 5

What common prime factors do 36 and 60 share?

• Two factors of 2 and a factor of 3

• A factor of 2 and two factors of 5

• Three factors of 2 and a factor of 3

• Two factors of 3 and a factor of 5

How many identical party favor bags can Ramona make?

• 6

• 8

• 12

• 10

How many candies will each party favor bag contain?

• 3

• 5

• 4

• 2

How many toys will each party favor bag contain?

• 5

• 4

• 6

• 3

What is the total number of candies distributed in all the bags?

• 36

• 60

• 24

• 48

What is the total number of toys distributed in all the bags?

• 60

• 48

• 36

• 72