Free Printable Prime Factorization and Factor Trees

1.

A prime number...

a)

has one factor.

b)

has more than 2 factors.

c)

has 100 factors.

d)

has exactly 2 factors: 1 and the itself.

2.

A composite number ...

a)

has more than 2 factors.

b)

has one factor.

c)

has at least 10 factors.

d)

is always a really big number.

3.

What are the prime factors of 27?

a)

3x3x3

b)

3x2x3

c)

3x3x4

4.

Find the prime factors of 45.

a)

5x9

b)

3x15

c)

3x3x5

5.

What are the prime factors of 90?

a)

3x3x4x5

b)

5x5x3

c)

2x3x3x5

6.

Use a number tree to find the prime factorization of 32

a)

2 x 2 x 2 x 3

b)

2 x 2 x 2 x 2 x 2

7.

Which are the factors of 14?

a)

(1,14)

b)

(1, 2, 7, 14)

c)

(2, 7)

8.

Which are the factors of 24?

a)

(1, 2, 3, 8, 12, 24)

b)

(2, 3, 4, 6, 8, 12)

c)

(1, 2, 3, 4, 6, 8, 12, 24)

9.

which number below is NOT prime?

a)

7

b)

9

c)

2

d)

3

10.

Is 12 prime or composite?

a)

prime

b)

composite

11.

is 5 prime or composite?

a)

prime

b)

composite

12.

Which number is a multiple of 3?

a)

27

b)

28

c)

29

13.

Which one is a multiple of 4?

a)

33

b)

22

c)

24

14.

Which of the following numbers is a factor of 6?

a)

12

b)

2

c)

8

d)

10

15.

What is the missing factor?

a)

1

b)

2

c)

5

d)

8

16.

What is the missing factor?

a)

3

b)

5

c)

6

d)

7

17.

Which number is NOT a factor of 10?

a)

1

b)

2

c)

3

d)

5

18.

a number that divides evenly into a given whole number, without leaving a remainder

a)

factor

b)

multiple

c)

odd

d)

prime

19.

the answer to a multiplication problem

a)

product

b)

sum

c)

quotient

d)

difference

20.

Numbers that can be multiplied together to make a product.

a)

multiples

b)

sum

c)

factors

d)

facts

21.

This is an example of...

a)

the ladder method

b)

factor trees

c)

composite factorization

22.

LCM of 3 and 4

a)

1

b)

5

c)

12

d)

24

23.

LCM of 10 and 12

a)

20

b)

24

c)

30

d)

60

24.

LCM of 6 and 9

a)

3

b)

15

c)

18

d)

54

25.

LCM of 4 and 8

a)

4

b)

8

c)

12

d)

24

26.

5²

a)

16

b)

25

c)

20

d)

10

27.

5²

a)

16

b)

25

c)

20

d)

10

28.

4²

a)

8

b)

15

c)

18

d)

16

29.

8²

a)

68

b)

64

c)

16

d)

56

30.

7²

a)

50

b)

49

c)

14

d)

48

31.

15²

a)

196

b)

289

c)

256

d)

225

32.

In between what two integers is the square root of 77?

a)

5 and 6

b)

6 and 7

c)

7 and 8

d)

8 and 9

33.

√100

a)

15

b)

10

c)

11

d)

12

34.

Level 2: Which number has a square root that is between 5 and 6?

a)

48

b)

81

c)

28

d)

36

35.

Level 3: Estimate the square root.

a)

Between 4 and 5 and closer to 5

b)

Between 5 and 6 and closer to 6

c)

Between -4 and -5 and closer to -5

d)

Between -5 and -6 and closer to -6

36.

Level 3: Estimate the square root.

a)

Between 3 and 4 and closer to 3

b)

Between 2 and 3 and closer to 3

c)

Between 3 and 4 and closer to 4

d)

Between 2 and 3 and closer to 2

37.

Level 3: Which point best represents √47?

a)

A

b)

D

c)

E

d)

F

38.

Level 2

Identify the letter that best estimates the following square root on the following number line.

√156

a)

d

b)

b

c)

c

d)

e

39.

Round to the Nearest Hundredth: √13

a)

5.6

b)

2.6

c)

3.9

d)

3.6

40.

Find the best estimate for √18 .
Look at the number line.

a)

4.2

b)

4.4

c)

5.1

d)

4

41.

Round to the Nearest Hundredth: √13

a)

5.6

b)

2.6

c)

3.9

d)

3.6

42.

5²

(a)

43.

4- Which number is a perfect square?

a)

a) 100

b)

b) 110

c)

c) 120

d)

d) 59

44.

3- Which number is perfect square?

a)

a) 36

b)

b) 39

c)

c) 89

d)

d) 11

45.

√256

a)

14

b)

16

c)

13

d)

17

Prime Factorization and Factor Trees

Total questions: 45

Worksheet time: 3hrs 52mins

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