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Sample - Click above to make a new math worksheet (PDF).
Name _____________________________
Date ___________________
Number Theory
Classify each number as prime or composite.
1.         40
Prime
Composite
2.         66
Prime
Composite
3.   * This is a pre-made sheet.
Use the link at the top of the page for a printable page.
4.         30
Prime
Composite
5.         5
Prime
Composite
6.         57
Prime
Composite
7.         82
Prime
Composite
8.         29
Prime
Composite

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.
9.         53
by 2  ________
by 3  ________
by 8  ________
by 9  ________
by 10  ________
10.         144
by 4  ________
by 5  ________
by 6  ________
by 7  ________
by 8  ________
11.         9,511
by 3  ________
by 7  ________
by 8  ________
by 9  ________
by 12  ________
12.         2,317
by 3  ________
by 5  ________
by 7  ________
by 10  ________
by 13  ________

Use the clue to fill in the missing digit.
13.   The number 04 is divisible by 11.
14.   The number 57 is divisible by 17.
15.   The number 98 is divisible by 7.
16.   The number 620 is divisible by 5.
17.   The number 191 is divisible by 3.
18.   The number 11 is divisible by 19.
19.   The number 680 is divisible by 6.
20.   The number 92 is divisible by 16.

List all of the factors of each number.
21.   47
22.   35
23.   14
24.   39
25.   61
26.   23
27.   36
28.   38
29.   80
30.   67
31.   98
32.   68

 

Key #2
aKey #2
Find the prime factorization of each number.
33.   80
34.   32
35.   33
36.   85
37.   55
38.   22
39.   21
40.   70
41.   67
42.   92
43.   95
44.   77

Find the greatest common factor of each set of numbers.
45.   48 and 36
46.   85 and 40
47.   3 and 76
48.   96 and 60
49.   18, 36, and 27
50.   96, 88, and 92
51.   63 and 54
52.   44 and 59
53.   24 and 12

Find the least common multiple.
54.   3 and 7
55.   3 and 5
56.   16 and 22
57.   6, 14, and 15
58.   8 and 20
59.   10 and 12
60.   4 and 10
61.   2, 8, and 13
62.   3, 9, and 18

Complete.
63.   Identify two numbers whose GCF is 24 and whose LCM is 144. Describe how you found the number.
64.   Numbers that end in zero are considered even because they are definitely divisible by two. However, the number 0 is neither even nor odd. Think about this, and give an explanation of why this must be true.

 

Answer Key

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