Factors and Multiples

Factor Pairs and Arrays

100

What are the factor pairs of 26?

1 and 26

2 and 13

200

What are the factor pairs for 6

1 and 9

3 and 3

300

What are the factor pairs of 37?

1 and 37

400

What are the factor pairs of 24?

1 and 24

2 and 12

3 and 8

4 and 6

500

A valet has 34 cars to park in a rectangular array. What are the different ways the valet could park the car? 

1 row of 34 cars; 34 rows of 1 car; 2 rows of 17 cars; 17 rows of s cars

List The Factors

100

List the factor pairs of 10

10: 1, 2, 5, 10

200

What are the factors of 56?

56: 1, 2, 4, 7, 8, 14, 28, 56

300

List the factor pairs of 45

45: 1, 3, 5, 9, 15, 45

400

What are the factors of 63?

63: 1, 3, 7, 9, 21, 63

500

What are the factor of 72? 

72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Prime or Composite

100

Is the number 7 prime or composite?

Prime

7: 1, 7

200

Is 15 prime or composite?

Composite

15: 1, 3, 5, 15

300

Is 29 a prime or composite number? 

Prime

29: 1, 29

400

Is 51 a prime or composite number?

Composite

51: 1, 3, 17, 51

500

What is the only number that is even and is prime? 

The number 2.

2: 1, 2

Multiples

100

What are the first five multiples of 3

3: 3, 6, 9, 12, 15

200

What are the first five mulitples of 6?

6: 6, 12, 18, 24, 30

300

What are the ten multiples of 9? 

9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

400

All multiples of 5 have a 5 or a 0 in the ones place?  True or False?  

True

5: 5, 10, 15, 20, 25, 30, 35

500

What is the least multiple that 6 and 8 have in common? 

24

6: 6, 12, 18, 24

8: 8, 16, 24

Problem Solving

100

Henry Heart is organizing the heart chocolate boxes at the store.  He has 48 heart boxes to organize.  He needs at least four rows.  How many different ways can he arrange the candy boxes? 

48: 4, 6, 8, 12 

He can put them in rows of (4 and 12) (12 and 4)

(6 and 8) and (8 and 6).

200

Mrs. Klamm live on a street where all the house numbers are multiples of 6. Name four possible house numbers that are on her street between 60 and 80.

House numbers could be: 

60, 66, 72, 78

300

Is the number 1 a prime or composite number? 

The number one is neither prime or composite.  It only has 1 factor. 

400

How do you know when you can stop looking for factor pairs of a number?  

When the factor pairs begin to repeat.

500

Vinny Valentine says all odd numbers greater than 2 and less than 20 are prime numbers.  Is Vinney correct?  Prove your answer.

Vinny is incorrect.  9 is and odd number and it is composite.  9 has more than two factors.

1 and 9 

3 and 3  

1, 3, 9