Free Printable Prime Factorization

1.

A prime number _________________

a)

must be odd.

b)

has only 2 factors.

c)

is only a single digit number.

d)

has more than 2 factors.

2.

What is the correct prime factorization of 45?

a)

5 x 9

b)

15 + 30

c)

2x3x5

d)

3 x 3 x 5

3.

What value would complete the prime factorization of 27?

3 x 3 x (a)

4.

Create the factor tree for 40

5.

What is the prime factorization of 66?

a)

2 x 3 x 11

b)

6 x 11

c)

11 x 3 x 3

d)

55 + 11

6.

Which number has a prime factorization of 2 x 5 x 7?

(a)

7.

What is the prime factorization of 60?

a)

2 x 3 x 5

b)

2 x 3 x 3 x 5

c)

2 x 2 x 3 x 5

d)

2 x 2 x 15

8.

a)

56 = 7 x 2 x 2 x 2 x 2

b)

56 = 7 x 4 x 2

c)

56 = 7 x 2 x 2 x 2

d)

56 = 7 x 8

9.

What value would complete the prime factorization of 63?

(a) x 3 x 7

10.

What is the prime factorization of 16?

a)

2 x 8

b)

2 x 2 x 2 x 2

c)

4 x 4

d)

2 x 2 x 4

11.

Which is the prime factorization of 12?

a)

2 x 6

b)

2 + 2 + 2 + 2 + 2 + 2

c)

2² x 3

d)

1 x 2² x 3

12.

Find the prime factorization of 80

a)

2⁴⋅5

b)

4²⋅5

c)

2⋅2⋅2

d)

8⋅5⋅2

13.

Which of the following are all prime numbers

a)

2, 3, 6, 7, 9

b)

2, 4, 8, 16

c)

2, 3, 5, 7, 9

d)

2, 3, 5, 7, 11

14.

Find the prime factorization of 144

a)

2² x 3⁴

b)

2⁴ x 3²

c)

2³ x 3³

d)

2⁴ x 3³

15.

Find the prime factorization of 76

a)

2² x 19

b)

2 x 19²

c)

2 x 19

d)

2² x 19²

16.

One is ...

a)

prime

b)

composite

c)

not prime or composite

d)

the loneliest number that you'll ever do

17.

Find the prime factorization of 72

a)

2³x 3²

b)

2 x 3² x 4

c)

2⁴ x 3³

d)

2² x 6²

18.

Find the prime factorization for 80

a)

4²⋅ 5

b)

2⁴⋅ 5

c)

2 ⋅ 2 ⋅ 2

d)

8 ⋅ 5 ⋅ 2

19.

What is the prime factorization of 192 ?

a)

3⋅ 6²

b)

2⁶⋅ 3

c)

2⁸⋅ 3

d)

3 ⋅ 8²

20.

Find the prime factorization of 54.

a)

3² x 6

b)

3³x 2

c)

2³ x 3

d)

9 x 6

21.

Find the prime factorization of 24.

a)

2³ x 3

b)

2² x 3 x 4

c)

2²x 3

d)

3 x 8

22.

Find the prime factorization of 75.

a)

3 x 5²

b)

3 x 5 x 5

c)

3² x 5

d)

5 x 15

23.

Find the prime factorization of 150.

a)

2³ x 3 x 5

b)

2 x 5²

c)

2 x 3 x 5²

d)

5² x 6

24.

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.

25.

One is...

a)

prime

b)

composite

c)

not prime or composite

d)

the loneliest number

26.

Which of the following is NOT prime?

a)

29

b)

23

c)

17

d)

39

27.

Is 17, a prime or composite number?

a)

Prime

b)

Composite

28.

Is 34, a prime or composite number?

a)

Prime

b)

Composite

29.

Find the prime factorization of 105

a)

7x5x3

b)

11x5x3

c)

7x5x2x1

d)

7x5x3x2

30.

Use a number tree to find the prime factorization of 32

a)

2 x 2 x 2 x 4

b)

2 x 2 x 2 x 2 x 2

31.

Use a number tree to find the prime factorization of 60

a)

5 x 3 x 2 x 2

b)

7 x 6 x 5

32.

Use a number tree to find the prime factorization of 42

a)

4 x 4 x 3

b)

7 x 3 x 2

33.

Use a number tree to find the prime factorization of 64

a)

2 x 2 x 2 x 2 x 2 x 2

b)

4 x 4 x 2 x 2

34.

Use a number tree to find the prime factorization of 72

a)

2 x 2 x 2 x 3 x 3

b)

4 x 3 x 3 x 2

35.

Use a number tree to find the prime factorization of 18

a)

3 x 3 x 2

b)

3 x 3 x 3

36.

Write 28 as a product of its prime factors.

a)

2 x 2 x 7

b)

4 x 7

37.

Which list contains all prime numbers?

a)

2, 3, 5, 7, 11

b)

2, 3, 5, 7, 9

38.

Which list contains composite numbers?

a)

4, 6, 8, 9, 12

b)

2, 4, 6, 7, 12

39.

Write 63 as a product of its prime factors.

a)

3 x 3 x 7

b)

9 x 7

40.

Is 5 prime or composite?

a)

Prime

b)

Composite

41.

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 number

42.

2 x 2 x 2 is the prime factorization of

a)

6

b)

12

c)

22

d)

8

43.

Use a factor tree to find the prime factorization of 105

a)

7x5x3

b)

11x5x3

c)

7x5x2x1

d)

7x5x3x2

44.

Use a factor tree to find the prime factorization of 60

a)

5x3x2x2

b)

7x6x5

c)

5x3x3x2

d)

7x5x4

45.

Use a factor tree to find the prime factorization of 32

a)

2x2x2x4

b)

2x2x2x2x2

c)

4x4x2

d)

2x2x2x2x1

46.

Use a factor tree to find the prime factorization of 42

a)

4x4x3

b)

6x7

c)

7x3x2

d)

5x4x2

47.

Use a factor tree to find the prime factorization of 64

a)

4x4x4

b)

4x4x2x2

c)

2x2x2x2x2x2

d)

4x4x2x1

48.

Use a factor tree to find the prime factorization of 33

a)

33

b)

11x3

c)

10x3

d)

3x3x3x2

49.

Use a factor tree to find the prime factorization of 72

a)

2x2x2x3x3

b)

4x3x3x2

c)

4x2x2x2x2

50.

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.

51.

One is...

a)

prime

b)

composite

c)

not prime or composite

d)

the loneliest number

52.

Which of the following is NOT prime?

a)

29

b)

23

c)

17

d)

39

53.

Is 5, a prime or composite number?

a)

Prime

b)

Composite

54.

Is 12, a prime or composite number?

a)

Prime

b)

Composite

55.

Is 17, a prime or composite number?

a)

Prime

b)

Composite

56.

Is 34, a prime or composite number?

a)

Prime

b)

Composite

57.

All of these are prime except

a)

3

b)

9

c)

2

d)

13

58.

2 x 2 x 2 is the prime factorization of...

a)

6

b)

12

c)

22

d)

8

59.

What number is never allowed in a factor tree?

a)

13 (it's bad luck!)

b)

1

c)

8675309

d)

2

60.

What is the prime factorization of 20 written in exponential notation?

a)

2 x 5

b)

1 x 20

c)

2 x 10

d)

2² x 5

61.

What are all of the factors of 12?

a)

1 and 12

b)

1, 2, 3, 4, & 6

c)

1, 2, 3, 4, 6, & 12

d)

1, 2, 3, 4, 6, 10, & 12

e)

12, 24, 36, 48, 72 , 84...

62.

Select all of the numbers that are prime numbers

a)

15

b)

7

c)

9

d)

2

e)

13

63.

What are the first 10 prime numbers?

4 lines

64.

Which pair of numbers has a GCF of 8?

a)

8, 36

b)

40, 80

c)

16, 56

d)

24, 42

65.

What is the Greatest Common Factor of 12 and 18?

a)

1

b)

3

c)

6

d)

8

66.

What is the GCF of 9 and 15?

a)

1

b)

3

c)

6

d)

8

67.

Which pair of numbers have a GCF of 3?

a)

15 and 27

b)

20 and 30

c)

45 and 15

d)

9 and 18

68.

What is the GCF of 12 and 30?

a)

2

b)

4

c)

6

d)

8

e)

12

69.

12 + 30

4 lines

70.

25 + 45

4 lines

71.

GCF of 10 and 50

a)

10

b)

2

c)

5

d)

50

72.

GCF of 5 and 35

a)

7

b)

5

c)

2

d)

35

73.

What does GCF stand for?

a)

Good Cold Flu

b)

Gaussian Coefficient Formula

c)

Given Clear Function

d)

Greatest Common Factor

74.

GCF of 28 and 40

a)

2

b)

4

c)

7

d)

8

75.

What is the GCF of 18 and 24?

a)

3

b)

6

c)

8

d)

9

76.

Find the Greatest Common Factor (GCF) of 12 & 27

a)

1

b)

3

c)

9

d)

12

77.

What is the greatest common factor of 40 and 48?

a)

4

b)

24

c)

8

d)

16

78.

What number is a factor for EVERY number?

a)

0

b)

1

c)

2

d)

100

79.

Find the GCF of 64 and 144

a)

8

b)

6

c)

16

d)

2

80.

Which of the choices is a factor of 10?

a)

2

b)

4

c)

6

d)

8

Prime Factorization

Total questions: 80

Worksheet time: 3hrs 14mins

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