Area
Multiples
Factors
Prime or Composite
100

What is the Area of this rectangle?

8 square units. There are 3 rows of 6

100

Tyler wants to build a rectangle with an area of 20 square units using square tiles.

  1. Can Tyler build a rectangle with a width of 4 units? 
  1. Yes, a rectangle with a width of 4 units and a length of 5 units has 20 square units in it.
100

List the possible whole-number side lengths of rectangles with an area of 32 square units.

1 unit by 32 units, 2 units by 16 units, 4 units by 8 units. Those are all of the possible rectangles because there are no other factors of 32.

100

37

Prime, because the only factor pair is 1 and 37.

200

What is the area of this rectangle?

28 square units 7x4

200

Pens are sold in packages of 5 and also in packages of 6.

Jada wants to buy 60 pens for her class. Which packages of pens and how many should Jada buy if she doesn't want any extras?

  • 10 packages of 6 pens
  • 12 packages of 5 pens
200

Find the factor pairs of 36.

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

200

27

Composite, because it has the factor pairs 1 and 27 and also 3 and 9.

300

If the area is 24sq feet and one side is 8 feet, what is the other side?

3 feet

300

Pens are sold in packages of 5 and also in packages of 6. 

Han wants to buy 55 pens for his class. Which packages of pens and how many should Han buy? Explain or show your reasoning

  • 11 packages of 5 pens
300

List the factors of 15.

1, 3, 5, 15

300

77

Composite, because it has the factor pairs 1 and 77 and also 7 and 11.

400

What are all of the possible side lengths of a rectangle with an area of 50 square units?

1 and 50, 2 and 25, and 5 and 10

400

Tyler wants to build a rectangle with an area of 20 square units using square tiles. Can Tyler build a rectangle with a width of 6 units?

No, if the width is 6 and the length is 3, that means using 18 square tiles. If the length is 4, that means using 24 square tiles

400

24

1 and 24, 2 and 12, 3 and 8, 4 and 6

400

17

Prime, because it has only one factor pair, 1 and 17.

500

 Why is 28 square units not a possible area for a rectangle with a width of 3 units?

no factor pairs with 3

500


Select all numbers that are multiples of 8.

16, 28, 40, 66, 72, 84, 96

16,40,72,96

500

How many factors does 36 have?

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

500

21

Composite, because it has more than one factor pair.