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Fractions
Math

 Name _____________________________ Date ___________________
Number Theory
Complete.
1.   Circle all of the numbers that are divisible by 6.
 18 79 12 43 22 21
 72 78 2 47 6 36
2.   Circle all of the numbers that are divisible by 7.
 66 98 75 49 35 24
 80 33 21 84 16 46

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.         96,811
 by 3 ________ by 4 ________ by 6 ________ by 8 ________ by 10 ________
4.         480
 by 2 ________ by 6 ________ by 7 ________ by 8 ________ by 10 ________
5.         57
 by 2 ________ by 3 ________ by 4 ________ by 6 ________ by 10 ________
6.         1,780
 by 6 ________ by 7 ________ by 8 ________ by 10 ________ by 12 ________

Classify each number as prime or composite.
 7 47 Prime Composite
 8 12 Prime Composite
 9 14 Prime Composite
 10 65 Prime Composite
 11 74 Prime Composite
 12 41 Prime Composite
 13 30 Prime Composite
 14 61 Prime Composite

Use the clue to fill in the missing digit.
 15 The number 81 is divisible by 3.
 16 The number 28 is divisible by 8.
 17 The number 8 is divisible by 2.
 18 The number 216 is divisible by 4.
 19 The number 54 is divisible by 6.
 20 The number 18 is divisible by 9.
 21 The number 30 is divisible by 5.
 22 The number 376 is divisible by 7.

 Key #2
Complete.
23.   Circle all of the numbers that are multiples of 2.
 98 41 12 16 75 1
 10 21 53 35 86 69
24.   Circle all of the numbers that are multiples of 3.
 2 27 9 91 11 1
 40 21 86 55 33 14

List 3 multiples of each number.
25.
 5
26.
 86
27.
 79
28.
 37
29.
 14
30.
 91

Fill in the missing multiple.
31.
 ______, 54, 63, 72, 81
32.
 34, 51, ______, 85, 102
33.
 56, 70, 84, ______, 112
34.
 60, ______, 80, 90, 100
35.
 42, 48, 54, ______, 66
36.
 9, ______, 15, 18, 21

List all of the factors of each number.
 37 46
 38 19
 39 80
 40 40
 41 56
 42 62
 43 32
 44 15
 45 37
 46 58
 47 48
 48 10

 Key #2
Find the prime factorization of each number.
 49 10
 50 12
 51 96
 52 94
 53 61
 54 88
 55 22
 56 58
 57 19
 58 90
 59 97
 60 25

Find the greatest common factor of each set of numbers.
 61 14 and 72
 62 42 and 68
 63 63, 18, and 72
 64 41 and 79
 65 60 and 12
 66 20, 40, and 72
 67 41 and 61
 68 42 and 28
 69 64 and 96

Find the least common multiple.
 70 8 and 12
 71 3 and 14
 72 6, 8, and 16
 73 15 and 18
 74 16 and 20
 75 6 and 18
 76 4, 13, and 16
 77 5 and 11
 78 2, 5, and 9

Complete.
 79 Identify a number that is divisible by 3 and 19, which is not divisible by 8, 4, 14, 10, and 7. Describe how you found the number.
 80 When you divide two even integers, is it possible to get a remainder other than 0? Explain and make up an example problem.

Sample
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