# Prime numbers pf 1 math antics

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Prime Numbers

Instructions: Determine if the number given is a Prime Number. You can do this by testing for divisibility. (For the exercises on this page, you only need to try divisibility tests for 2,3,and 5.) Mark the correct box.

PF 1

12

Prime NOT Prime

24

Prime NOT Prime

33

Prime NOT Prime

4 11

Prime NOT Prime

5 15

Prime NOT Prime

6 17

Prime NOT Prime

7 10

Prime NOT Prime

88

Prime NOT Prime

97

Prime NOT Prime

10 9

Prime NOT Prime

11 6

Prime NOT Prime

12 12

Prime NOT Prime

13 31

Prime NOT Prime

14 44

Prime NOT Prime

15 14

Prime NOT Prime

16 25

Prime NOT Prime

17 20

Prime NOT Prime

18 19

Prime NOT Prime

Prime Factorization ?

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Composite Numbers

Instructions: Multiply each set of Prime Factors to see what Composite Number they make. (We recommend using a calculator for these exercises.)

PF 2

1 2?2= 4

2 3?3= 9

3 2?3= 6

4 2 ? 5 = 10

5 2 ? 2 ? 3 = 12

6 3 ? 5 = 15

7 2?2?2= 8

8 5 ? 5 = 25

9 2 ? 3 ? 3 = 18

10 2 ? 3 ? 5 = 30

11 3 ? 3 ? 3 = 27

12 3 ? 3 ? 5 = 45

13 2 ? 2 ? 3 ? 3 = 36

14 2 ? 3 ? 5 ? 7 = 210

15 2 ? 3 ? 3 ? 3 = 54

16 2 ? 2 ? 2 ? 3 ? 7 = 168

17 2 ? 2 ? 3 ? 5 = 60

18 2 ? 2 ? 2 ? 5 ? 7 = 280

Prime Factorization ?

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Factoring to Primes

Instructions: Factor each number down to its Prime Factorization. Use the `factor tree' templates

NOTE: Factor tree steps may vary, but the final `prime

factorization' should match this answer key.

PF 3

1

20

2

28

10 ? 2

4?7

5 ? 2? 2

2 ?2? 7

20 = 5 x 2 x 2 Prime Factorization

28 = 2 x 2 x 7

Prime Factorization

3

18

6?3

2 ?3? 3

18 = 2 x 3 x 3

Prime Factorization

4

30

10 ? 3

2 ?5? 3

30 = 2 x 5 x 3

Prime Factorization

5

27

9?3

3 ?3? 3

27 = 3 x 3 x 3

Prime Factorization

Prime Factorization ?

6

45

9?5

3 ?3? 5

45 = 3 x 3 x 5

Prime Factorization

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Factoring to Primes - Set 2

PF 4

Instructions: Factor the number down to its Prime Factorization. Use the `factor tree' templates to

NOTE: Factor tree steps may vary, but the final `prime

factorization' should match this answer key.

1

60

2

36

6 ? 10

6?6

2? 3? 2? 5

2 ?3 ?2 ?3

60 = 2 x 2 x 3 x 5 Prime Factorization

36 =

2 x 2 x 3 x 3

Prime Factorization

3

40

4 ? 10

2?2 ?2 ?5

40 =

2 x 2 x 2 x 5

Prime Factorization

5

16

4? 4

2?2 ?2 ?2

16 =

2 x 2 x 2 x 2

Prime Factorization

Prime Factorization ?

4

81

9?9

3 ?3 ?3 ?3

81 =

3 x 3 x 3 x 3

Prime Factorization

6

54

6?9

2 ?3 ?3 ?3

54 =

2 x 3 x 3 x 3

Prime Factorization

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More Prime Factorization Practice

PF 5

Instructions: Factor each number down to its Prime Factorization. For each problem, make a `factor tree' on some scratch paper to help you get the right answer.

1 40 =

2 x 2 x 2 x 5

Prime Factorization

2 50 =

2 x 5 x 5

Prime Factorization

3 32 =

2 x 2 x 2 x 2 x 2

Prime Factorization

4 72 =

2 x 2 x 2 x 3 x 3

Prime Factorization

5 100 =

2 x 2 x 5 x 5

Prime Factorization

6 150 =

2 x 3 x 5 x 5

Prime Factorization

7 175 =

5 x 5 x 7

Prime Factorization

8 66 =

2 x 3 x 11

Prime Factorization

9 270 =

2 x 3 x 3 x 3 x 5

Prime Factorization

10 102 =

2 x 3 x 17

Prime Factorization

11 160 =

2 x 2 x 2 x 2 x 2 x 5

Prime Factorization

Prime Factorization ?

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Prime Factorization and Exponent Notation

PF 6

Review: Exponents are used to show repeated multiplication. For example, if you want to multiply the number 2 together 3 times, you could write 2 ? 2 ? 2, but you could also use Exponent Notation and just write 23. The small `3' means multiply this number by itself 3 times. Here are a few examples so you can see the pattern.

32 = 3 ? 3

44 = 4 ? 4 ? 4 ? 4

53 = 5 ? 5 ? 5

25 = 2 ? 2 ? 2 ? 2 ? 2

Instructions: Rewrite the Prime Factorization shown using Exponent Notation.

1 2 ? 2 ? 2 ? 5 = 23 x 5 2 2 ? 2 ? 3 ? 3 = 22 x 32 3 2 ? 2 ? 2 ? 2 = 24 4 2 ? 2 ? 5 ? 5 = 22 x 52 5 2 ? 2 ? 3 ? 3 ? 7 = 22 x 32 x 7 6 2 ? 2 ? 2 ? 2 ? 7 = 24 x 7 7 2 ? 2 ? 2 ? 5 ? 5 = 23 x 52 8 2 ? 2 ? 3 ? 5 ? 7 = 22 x 3 x 5 x 7 9 2 ? 2 ? 2 ? 3 ? 3 ? 3 ? 3 = 23 x 34 10 2 ? 2 ? 2 ? 3 ? 3 ? 7 ? 7 = 23 x 32 x 72 11 2 ? 3 ? 3 ? 3 ? 5 ? 7 ? 7 = 2 x 33 x 5 x 72 12 2 ? 2 ? 2 ? 2 ? 2 ? 2 ? 3 = 26 x 3

Prime Factorization ?

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