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Name _____________________________
Date ___________________
Number Theory
Complete.
1.   Circle all of the numbers that are divisible by 5.
94024753515
6245627246132
2.   Circle all of the numbers that are divisible by 8.
487620958227
747238421615

Complete each divisibility table. Write yes if the number is divisible by the given number. Write no if it is not divisible by the given number.
3.         120
by 2  ________
by 4  ________
by 5  ________
by 7  ________
by 10  ________
4.         144
by 2  ________
by 3  ________
by 6  ________
by 7  ________
by 9  ________
5.         806
by 3  ________
by 7  ________
by 9  ________
by 10  ________
by 12  ________
6.         59
by 2  ________
by 9  ________
by 11  ________
by 12  ________
by 13  ________

Classify each number as prime or composite.
7.         83
Prime
Composite
8.         35
Prime
Composite
9.         16
Prime
Composite
10.         85
Prime
Composite
11.         29
Prime
Composite
12.         99
Prime
Composite
13.         32
Prime
Composite
14.         92
Prime
Composite

Use the clue to fill in the missing digit.
15.   The number 24 is divisible by 6.
16.   The number 9 is divisible by 8.
17.   The number 623 is divisible by 3.
18.   The number 0 is divisible by 4.
19.   The number 55 is divisible by 5.
20.   The number 568 is divisible by 7.
21.   The number 86 is divisible by 9.
22.   The number 21 is divisible by 2.

 

Key #2
aKey #2
Complete.
23.   Circle all of the numbers that are multiples of 4.
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96292202853
24.   Circle all of the numbers that are multiples of 3.
23318124938
67193852787

List 3 multiples of each number.
25.  
9
26.  
64
27.  
27
28.  
5
29.  
73
30.  
36

Fill in the missing multiple.
31.  
30, ______, 50, 60, 70
32.  
______, 12, 14, 16, 18
33.  
108, 126, 144, 162, ______
34.  
77, 88, 99, 110, ______
35.  
52, 65, 78, ______, 104
36.  
______, 21, 28, 35, 42

List all of the factors of each number.
37.   30
38.   34
39.   84
40.   88
41.   35
42.   96
43.   13
44.   53
45.   48
46.   36
47.   57
48.   11

 

Key #2
aKey #2
Find the prime factorization of each number.
49.   12
50.   72
51.   91
52.   42
53.   77
54.   95
55.   90
56.   98
57.   85
58.   69
59.   20
60.   27

Find the greatest common factor of each set of numbers.
61.   96 and 48
62.   40 and 80
63.   46 and 72
64.   88 and 76
65.   49 and 77
66.   7 and 2
67.   80, 10, and 60
68.   60, 12, and 96
69.   54, 66, and 42

Find the least common multiple.
70.   4 and 9
71.   3 and 5
72.   6, 12, and 48
73.   3 and 9
74.   12 and 18
75.   15 and 18
76.   4, 7, and 8
77.   4, 12, and 13
78.   12 and 23

Complete.
79.   Use the digits 7, 6, and 8 to create a 3-digit number that is divisible by 2, 3, 4, 6, and 8. Describe how you found the number.
80.   The divisibility rules are helpful in math because they allow us to analyze division problems to arrive at a quick solution. The number 6 is divisible by both 2 and 3. How can you tell if a number is divisible by 6? Show by example a number that is divisible by 2, 3, and 6.

 

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