Arrays
Factor Pairs
Factors
Prime or Composite
Multiples
100

First graders at Indian Lane have 24 carpet squares. What are all the different ways they can organize the carpet squares into a rectangle array?

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

100
What are the factor pairs for 14?

14 and 1, 2 and 7

100

List the factors of 28. 

1, 2, 4, 7, 14, 28

100

Is 32 prime or composite?

Composite

100

Write the first five multiples of the number 7.

7, 14, 21, 28, 35

200

The music director wants to arrange 12 chairs for the concert into a rectangle array. How many different ways can he do this?

He can arrange the chairs 6 different ways. 

200

What are the factor pairs for 11?

11 and 1

200

List all the factors of 38. 

1, 2, 19, 38.

200

Is 17 prime or composite?

Prime

200

Write the first five multiples of 11.

11, 22, 33, 44, 55

300

Mrs. Arbutina has 5 flower pots. She wants to arrange them into a rectangular array. List the ways she can do this.

She could arrange them 1 x 5 or 5 x 1. 

300

What are the factor pairs for 39?

1 and 39, 3 and 13

300

List the factors of 60. 

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

300

Is 90 prime or composite?

Composite

300

Is 45 a multiple of 6?

No because 45 does not divide evenly by 6.

400

Fourth grade has 20 students. They need to be lined up for a picture but cannot be in one row or have more than 15 rows. What other ways can they be arranged.

They could line up 2 x 10, 10 x 2, 4 x 5, 5 x 4. 

400

What are the factor pairs for 32?

1 and 32, 2 and 16, 4 and 8.

400

1, 2, 3, 4, 12.

Martha says she has found all the factors for the number 12. Is she correct? Explain.

No. She forgot the number 6. 2 and 6 are a factor pair and she only listed one number.

400

What is the only even prime number?

2

400

Is 7 a multiple of 49?

No because 7 is smaller than 49, it is a factor. Multiples are larger.

500
Solar panels are used to generate power. What are all the possible ways 28 solar panels could be installed in a rectangular array?

1 x 28, 28 x 1, 2 x 14, 14 x 2, 4 x 7, 7 x 4.

500

What are the factor pairs for 63?

1 and 63, 3 and 21, 7 and 9.

500

How many factors are there for 64? Write them. 

There are 7 factors: 1, 2, 4, 8, 16, 32, 64.

500

Tommy has 43 cars.  Can he group the cars in more than 2 ways?

No.  43 is a prime number.  It has only two factors, 1 and 43.

500

Carmen listed the multiples of 24 as 1, 2, 3, 4, 6, 8, 12, and 24.  Is she correct?  Why or why not?  

No, these are FACTORS of 24, not multiples.