Factors of 1 to 100
Factors of 1 to 100
Understanding the factors of numbers is a fundamental concept in mathematics. Factors are the numbers that divide another number exactly without leaving a remainder. This concept is crucial for various mathematical applications, including simplifying fractions, finding the greatest common divisors, and solving problems involving multiples and divisibility.
In this guide, we will explore the factors of numbers from 1 to 100. This range includes both prime and composite numbers, and examining their factors will help you understand how numbers can be broken down into their component parts. By identifying the prime factors, we can also determine whether a number is prime or composite.
Download Factors of 1 to 100 in PDF
Factors of 1 to 100
Download Factors of 1 to 100 in PDF
| Numbers | Factors | Prime Factors Form | Prime/Composite |
|---|---|---|---|
| 1 | 1 | 1 | Neither |
| 2 | 1, 2 | 2 | Prime |
| 3 | 1, 3 | 3 | Prime |
| 4 | 1, 2, 4 | 2² | Composite |
| 5 | 1, 5 | 5 | Prime |
| 6 | 1, 2, 3, 6 | 2 × 3 | Composite |
| 7 | 1, 7 | 7 | Prime |
| 8 | 1, 2, 4, 8 | 2³ | Composite |
| 9 | 1, 3, 9 | 3² | Composite |
| 10 | 1, 2, 5, 10 | 2 × 5 | Composite |
| 11 | 1, 11 | 11 | Prime |
| 12 | 1, 2, 3, 4, 6, 12 | 2² × 3 | Composite |
| 13 | 1, 13 | 13 | Prime |
| 14 | 1, 2, 7, 14 | 2 × 7 | Composite |
| 15 | 1, 3, 5, 15 | 3 × 5 | Composite |
| 16 | 1, 2, 4, 8, 16 | 2⁴ | Composite |
| 17 | 1, 17 | 17 | Prime |
| 18 | 1, 2, 3, 6, 9, 18 | 2 × 3² | Composite |
| 19 | 1, 19 | 19 | Prime |
| 20 | 1, 2, 4, 5, 10, 20 | 2² × 5 | Composite |
| 21 | 1, 3, 7, 21 | 3 × 7 | Composite |
| 22 | 1, 2, 11, 22 | 2 × 11 | Composite |
| 23 | 1, 23 | 23 | Prime |
| 24 | 1, 2, 3, 4, 6, 8, 12, 24 | 2³ × 3 | Composite |
| 25 | 1, 5, 25 | 5² | Composite |
| 26 | 1, 2, 13, 26 | 2 × 13 | Composite |
| 27 | 1, 3, 9, 27 | 3³ | Composite |
| 28 | 1, 2, 4, 7, 14, 28 | 2² × 7 | Composite |
| 29 | 1, 29 | 29 | Prime |
| 30 | 1, 2, 3, 5, 6, 10, 15, 30 | 2 × 3 × 5 | Composite |
| 31 | 1, 31 | 31 | Prime |
| 32 | 1, 2, 4, 8, 16, 32 | 2⁵ | Composite |
| 33 | 1, 3, 11, 33 | 3 × 11 | Composite |
| 34 | 1, 2, 17, 34 | 2 × 17 | Composite |
| 35 | 1, 5, 7, 35 | 5 × 7 | Composite |
| 36 | 1, 2, 3, 4, 6, 9, 12, 18, 36 | 2² × 3² | Composite |
| 37 | 1, 37 | 37 | Prime |
| 38 | 1, 2, 19, 38 | 2 × 19 | Composite |
| 39 | 1, 3, 13, 39 | 3 × 13 | Composite |
| 40 | 1, 2, 4, 5, 8, 10, 20, 40 | 2³ × 5 | Composite |
| 41 | 1, 41 | 41 | Prime |
| 42 | 1, 2, 3, 6, 7, 14, 21, 42 | 2 × 3 × 7 | Composite |
| 43 | 1, 43 | 43 | Prime |
| 44 | 1, 2, 4, 11, 22, 44 | 2² × 11 | Composite |
| 45 | 1, 3, 5, 9, 15, 45 | 3² × 5 | Composite |
| 46 | 1, 2, 23, 46 | 2 × 23 | Composite |
| 47 | 1, 47 | 47 | Prime |
| 48 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 | 2⁴ × 3 | Composite |
| 49 | 1, 7, 49 | 7² | Composite |
| 50 | 1, 2, 5, 10, 25, 50 | 2 × 5² | Composite |
| 51 | 1, 3, 17, 51 | 3 × 17 | Composite |
| 52 | 1, 2, 4, 13, 26, 52 | 2² × 13 | Composite |
| 53 | 1, 53 | 53 | Prime |
| 54 | 1, 2, 3, 6, 9, 18, 27, 54 | 2 × 3³ | Composite |
| 55 | 1, 5, 11, 55 | 5 × 11 | Composite |
| 56 | 1, 2, 4, 7, 8, 14, 28, 56 | 2³ × 7 | Composite |
| 57 | 1, 3, 19, 57 | 3 × 19 | Composite |
| 58 | 1, 2, 29, 58 | 2 × 29 | Composite |
| 59 | 1, 59 | 59 | Prime |
| 60 | 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 | 2² × 3 × 5 | Composite |
| 61 | 1, 61 | 61 | Prime |
| 62 | 1, 2, 31, 62 | 2 × 31 | Composite |
| 63 | 1, 3, 7, 9, 21, 63 | 3² × 7 | Composite |
| 64 | 1, 2, 4, 8, 16, 32, 64 | 2⁶ | Composite |
| 65 | 1, 5, 13, 65 | 5 × 13 | Composite |
| 66 | 1, 2, 3, 6, 11, 22, 33, 66 | 2 × 3 × 11 | Composite |
| 67 | 1, 67 | 67 | Prime |
| 68 | 1, 2, 4, 17, 34, 68 | 2² × 17 | Composite |
| 69 | 1, 3, 23, 69 | 3 × 23 | Composite |
| 70 | 1, 2, 5, 7, 10, 14, 35, 70 | 2 × 5 × 7 | Composite |
| 71 | 1, 71 | 71 | Prime |
| 72 | 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 | 2³ × 3² | Composite |
| 73 | 1, 73 | 73 | Prime |
| 74 | 1, 2, 37, 74 | 2 × 37 | Composite |
| 75 | 1, 3, 5, 15, 25, 75 | 3 × 5² | Composite |
| 76 | 1, 2, 4, 19, 38, 76 | 2² × 19 | Composite |
| 77 | 1, 7, 11, 77 | 7 × 11 | Composite |
| 78 | 1, 2, 3, 6, 13, 26, 39, 78 | 2 × 3 × 13 | Composite |
| 79 | 1, 79 | 79 | Prime |
| 80 | 1, 2, 4, 5, 8, 10, 16, 20, 40, 80 | 2⁴ × 5 | Composite |
| 81 | 1, 3, 9, 27, 81 | 3⁴ | Composite |
| 82 | 1, 2, 41, 82 | 2 × 41 | Composite |
| 83 | 1, 83 | 83 | Prime |
| 84 | 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 | 2² × 3 × 7 | Composite |
| 85 | 1, 5, 17, 85 | 5 × 17 | Composite |
| 86 | 1, 2, 43, 86 | 2 × 43 | Composite |
| 87 | 1, 3, 29, 87 | 3 × 29 | Composite |
| 88 | 1, 2, 4, 8, 11, 22, 44, 88 | 2³ × 11 | Composite |
| 89 | 1, 89 | 89 | Prime |
| 90 | 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 | 2 × 3² × 5 | Composite |
| 91 | 1, 7, 13, 91 | 7 × 13 | Composite |
| 92 | 1, 2, 4, 23, 46, 92 | 2² × 23 | Composite |
| 93 | 1, 3, 31, 93 | 3 × 31 | Composite |
| 94 | 1, 2, 47, 94 | 2 × 47 | Composite |
| 95 | 1, 5, 19, 95 | 5 × 19 | Composite |
| 96 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 | 2⁵ × 3 | Composite |
| 97 | 1, 97 | 97 | Prime |
| 98 | 1, 2, 7, 14, 49, 98 | 2 × 7² | Composite |
| 99 | 1, 3, 9, 11, 33, 99 | 3² × 11 | Composite |
| 100 | 1, 2, 4, 5, 10, 20, 25, 50, 100 | 2² × 5² | Composite |
The factors of numbers from 1 to 100 reveal the unique divisibility properties of each number, highlighting their primes and composites. Factors range from 1, which only has itself as a factor, to 100, which has multiple pairs of factors such as 1 and 100, 2 and 50, 4 and 25, and so forth. This study of factors illustrates the fundamental arithmetic relationships and patterns, such as even numbers always having 2 as a factor and primes only having 1 and themselves as factors. Understanding these factors is crucial for simplifying fractions, finding greatest common divisors, and solving various mathematical problems efficiently.
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