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Fractions
Math
Middle School Math

 Name _____________________________ Date ___________________
Number Theory
Classify each number as prime or composite.
 1 85 Prime Composite
 2 24 Prime Composite
 3 19 Prime Composite
 4 * This is a pre-made sheet.Use the link at the top of the page for a printable page.
 5 10 Prime Composite
 6 4 Prime Composite
 7 83 Prime Composite
 8 94 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.         480
 by 4 ________ by 7 ________ by 8 ________ by 9 ________ by 10 ________
10.         378
 by 3 ________ by 5 ________ by 6 ________ by 7 ________ by 10 ________
11.         7,441
 by 2 ________ by 3 ________ by 5 ________ by 8 ________ by 10 ________
12.         1,733
 by 2 ________ by 3 ________ by 4 ________ by 6 ________ by 11 ________

Use the clue to fill in the missing digit.
 13 The number 1150 is divisible by 15.
 14 The number 406 is divisible by 8.
 15 The number 154 is divisible by 14.
 16 The number 1 is divisible by 7.
 17 The number 94 is divisible by 19.
 18 The number 65 is divisible by 5.
 19 The number 409 is divisible by 17.
 20 The number 04 is divisible by 4.

List all of the factors of each number.
 21 23
 22 36
 23 12
 24 56
 25 79
 26 31
 27 42
 28 29
 29 99
 30 34
 31 39
 32 95

 Key #2
Find the prime factorization of each number.
 33 32
 34 64
 35 11
 36 72
 37 96
 38 70
 39 39
 40 65
 41 82
 42 20
 43 89
 44 22

Find the greatest common factor of each set of numbers.
 45 45 and 95
 46 60 and 48
 47 82 and 20
 48 52 and 64
 49 50, 30, and 35
 50 59 and 57
 51 7, 84, and 21
 52 36 and 45
 53 10 and 90

Find the least common multiple.
 54 2 and 10
 55 7 and 9
 56 6, 9, and 18
 57 6 and 12
 58 6 and 15
 59 6, 18, and 42
 60 4 and 10
 61 13 and 22
 62 5 and 9

Complete.
 63 Identify a number that is divisible by 8, 6, 4, 16, and 12, which is not divisible by 18, 7, 9, 5, and 15. Describe how you found the number.
 64 A strange signal sequence has been detected by radio astronomers. They have recorded a signal consisting of an alternating series of ones and negative ones {1, -1, 1, -1, 1, -1,…}. Scientists want to understand the meaning of this signal. They look for patterns. The first term of the sequence is 1. What will the 341th term be? How do you know? Describe a rule to figure out the answer for the xth number.

Sample
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