Prime/ Composite
Factors
Multiples
Word Problems
Arrays
100
Is 12 a prime or composite number? Show your reasoning.
Composite number. It has 3 factor pairs:
1 x 12
2 x 6
3 x 4
100
True or False: there are exactly four factors of 16
Hint: use a factor rainbow
False. There are five factors of 16: 1, 2, 4, 8, 16
100
What are multiples of 3?
3, 6, 9, 12
100
There are 17 students in our class. Pens came in packs of 8. How many packs of pens did Ms. Adams need to buy so that every student got a pen?
3 packs of pens. 3 x 8 = 24. There would be 7 pens left over.
100
(Give the equation for the array)
4x5=20
200
Which number is neither prime nor composite?
1. The number 1 is neither prime nor composite because it has only one positive factor, while prime numbers require two factors and composite numbers require more than two.
200
What are all the factors of 19?
1 and 19
200
List the first 5 multiples of 6
6, 12, 18, 24, 30
200
A bag of jelly beans can be divided equally between 3 people. How many jelly beans could there be? Explain or show your reasoning using words, numbers or a model.
There could be 3, 6, 9, 12, 15, 18, 21, 24, 27... (any multiple of 3) jellybeans.
200
(Give the factor pair for each array)
4 x 10 and 5 x 8
300
List the first 7 prime numbers.
2, 3, 5, 7, 11, 13, 17
300
List every factor of 24
(Hint: use a factor rainbow)
1, 2, 3, 4, 6, 8, 12, 24
300
7, 14, 21, 35, ____ (Fill in the missing number)
42
300
You want to arrange 18 desks into equal rows.
- What are all the options of rows can you have? How many students would be in each row?
2 students in each row, 9 rows.
3 students in each row, 6 rows.
9 students in each row, 2 rows.
6 students in each row, 3 rows.
300
(Choose the one that is a factor pair for the number 16)
a. 4 x 4 = 16
400
Is 67 prime or composite? Show your reasoning.
Prime. The only factor pair of 67 is 1 and itself.
400
Find all the factors of 80.
1 x 80
2 x 40
4 x 20
5 x 16
8 x 10
400
a. ____ is a factor of 16 because....
b. ____ is a multiple of 16 because...
a. 2, 4, 8 are factors of 16 because all of them can multiply to make 16.
b. 32, 48, etc. are multiples of 16 because all of them are products of 16 and another number.
400
Pens are sold in packages of 5 and also in packages of 6. Jada wants to buy 55 pens for her class. Which packages of pens and how many should Jada buy if she doesn't want any extras? Explain or show your reasoning.
Jada should buy 11 packs of 5 pens.
400
A table has an area of 10 feet. Show two models of this table.
500
Is 84 prime or composite? Show your reasoning.
Composite. There are 6 factor pairs of 84.
1 x 84
2 x 42
3 x 28
4 x 21
6 x 14
7 x 12
500
Find all factor pairs of 66.
1 x 88
2 x 33
3 x 22
6 x 11
500
A store in Roger's neighborhood sells boxes of pencils that have 3 pencils in each box. Choose the number of pencils that Roger could have bought.
a. 16
b. 25
c. 21
d. 32
21. 21 is the only multiple of 3.
500
It takes George 24 minutes to walk the dog and 3 minutes to take out the trash. Give an equation for how many times longer it takes George to walk the dog than take out the trash.
a. 24 + 3 = ? b. ? x 24 = 3
c. 24 = 3 x ? c. 3 x 24 = ?
24 = 3 x ?
? = 8
It takes George 8 times longer to walk the dog than take out the trash.
500
Elina had 20 tiles to make two rectangular designs. She made these models. Elina then was able to conclude this from the number 10.
Is 10 prime, composite, or neither?
If Elina used all 20 tiles, how many rectangles could she make with an area of 20?
10 is composite, because you can more than 1 rectangle.
She could make 3 rectangles with an area of 20.
1 x 20, 2 x 10, 4 x 5.