Unit 1: Division, Factors, Prime Factorization, GCF/LCM

Division (Standard Algorithm)

100

What is 48 / 3

16

200

What is 156 / 12?

13

300

What is 1,728 / 24 ?

72

400

The middle school auditorium has 425 seats set up for a grade-level assembly. If the chairs are arranged into rows with 25 seats in each row, how many full rows of chairs are there?

17 rows

500

Coach Bach is organizing the equipment room for the upcoming season and receives a shipment of 144 softballs. If she packs them equally into 12 storage bins, how many softballs will go into each bin?

12 softballs 

Factors

100

List all the factors of 9.

1, 3, 9

200

How many factors does 12 have? 

6 factors.

They are 1, 2, 3, 4, 6 and 12.

300

List all the factors of 36

1, 2, 3, 4, 6, 9, 12, 18, 36

400

List all the factors of 53?

1 and 53

500

List all the factors of 100.

1, 2, 4, 5, 10, 20, 25, 50, and 100

Prime Factorization

100

What is the prime factorization of 20?

20= 5 x 2 x 2

200

What is the prime factorization of 42?

42=2x3x7

300

What is the prime factorization of 55?

55 = 5 x 11

400

What is the prime factorization of 72?

72 = 2³ x 3²

500

What is the prime factorization of 100?

100 = 5² x 2²

GCF

100

When looking for the greatest common factor, I am looking for the _____________ factor that both numbers share.

biggest

200

What is the GCF of 21 and 12?

GCF = 3

300

What is the GCF of 40 and 28?

GCF = 4

400

What is the GCF of 100 and 75?

GCF = 25

500

Sara has 8 red-colored pens and 20 yellow-colored pens. She wants to create groups of pens such that there are the same number of red-colored pens and yellow-colored pens in each group, and there are no pens left over.  What is the greatest number of groups that she can create?

GCF: 4

LCM

100

True or False. We can search for the greatest common multiple by using the multiples method.

False- it is impossible since there are infinite numbers. 

200

What is the LCM of 3 and 4? 

LCM = 12

300

What is the 8 and 34?

LCM: 136

400

What is the LCM of 20 and 50?

LCM: 100

500

The buses for the school field trip leave every 4 minutes, and the parent chaperone vans leave every 10 minutes. If a bus and a van leave at the same time right now, after how many minutes will they leave at the exact same time again?

What is 20 minutes?