Table of Multiples and Factors – Up to 100
Introduction: Understanding multiples and factors is crucial for various mathematical applications and problem-solving. This guide provides a detailed table of multiples and factors for numbers up to 100, helping you enhance your mathematical skills and knowledge.
What are Factors? Factors are numbers that divide another number exactly without leaving a remainder. For instance, factors of 6 include 1, 2, 3, and 6.
What are Multiples? Multiples are the result of multiplying a number by an integer. For example, multiples of 6 are 6, 12, 18, 24, and so on.
Table of Multiples and Factors Up to 100
| Number | Factors | Prime Factors | Multiples |
|---|---|---|---|
| 1 | 1 | None | 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, … |
| 2 | 1, 2 | 2 | 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, … |
| 3 | 1, 3 | 3 | 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, … |
| 4 | 1, 2, 4 | 2 | 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, … |
| 5 | 1, 5 | 5 | 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, … |
| 6 | 1, 2, 3, 6 | 2, 3 | 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, … |
| 7 | 1, 7 | 7 | 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, … |
| 8 | 1, 2, 4, 8 | 2 | 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, … |
| 9 | 1, 3, 9 | 3 | 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, … |
| 10 | 1, 2, 5, 10 | 2, 5 | 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, … |
| 11 | 1, 11 | 11 | 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, … |
| 12 | 1, 2, 3, 4, 6, 12 | 2, 3 | 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, … |
| 13 | 1, 13 | 13 | 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, … |
| 14 | 1, 2, 7, 14 | 2, 7 | 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, … |
| 15 | 1, 3, 5, 15 | 3, 5 | 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, … |
| 16 | 1, 2, 4, 8, 16 | 2 | 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, … |
| 17 | 1, 17 | 17 | 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, … |
| 18 | 1, 2, 3, 6, 9, 18 | 2, 3 | 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, … |
| 19 | 1, 19 | 19 | 19, 38, 57, 76, 95, 114, 133, 152, 171, 190, … |
| 20 | 1, 2, 4, 5, 10, 20 | 2, 5 | 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, … |
| 21 | 1, 3, 7, 21 | 3, 7 | 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, … |
| 22 | 1, 2, 11, 22 | 2, 11 | 22, 44, 66, 88, 110, 132, 154, 176, 198, 220, … |
| 23 | 1, 23 | 23 | 23, 46, 69, 92, 115, 138, 161, 184, 207, 230, … |
| 24 | 1, 2, 3, 4, 6, 8, 12, 24 | 2, 3 | 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, … |
| 25 | 1, 5, 25 | 5 | 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, … |
| 26 | 1, 2, 13, 26 | 2, 13 | 26, 52, 78, 104, 130, 156, 182, 208, 234, 260, … |
| 27 | 1, 3, 9, 27 | 3 | 27, 54, 81, 108, 135, 162, 189, 216, 243, 270, … |
| 28 | 1, 2, 4, 7, 14, 28 | 2, 7 | 28, 56, 84, 112, 140, 168, 196, 224, 252, 280, … |
| 29 | 1, 29 | 29 | 29, 58, 87, 116, 145, 174, 203, 232, 261, 290, … |
| 30 | 1, 2, 3, 5, 6, 10, 15, 30 | 2, 3, 5 | 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, … |
| 31 | 1, 31 | 31 | 31, 62, 93, 124, 155, 186, 217, 248, 279, 310, … |
| 32 | 1, 2, 4, 8, 16, 32 | 2 | 32, 64, 96, 128, 160, 192, 224, 256, 288, 320, … |
| 33 | 1, 3, 11, 33 | 3, 11 | 33, 66, 99, 132, 165, 198, 231, 264, 297, 330, … |
| 34 | 1, 2, 17, 34 | 2, 17 | 34, 68, 102, 136, 170,### Table of Multiples and Factors – Up to 100 |
How to Use the Table:
- Factors: Use the left column to find the list of factors for each number.
- Prime Factors: Prime factors are highlighted in the middle column.
- Multiples: The right column shows the multiples of each number.
Conclusion:
This table is a valuable resource for students, educators, and math enthusiasts. It provides a clear and concise reference for the factors and multiples of numbers up to 100, aiding in the understanding and application of these fundamental mathematical concepts.
