In this article, we will list all the “factors of 1 to 100”. Let’s understand what are factors? Factors are simply the numbers that evenly divide another number, leaving no remainder. They play a crucial role in various mathematical calculations and problem-solving.
Numbers can be categorized into prime and composite numbers based on their divisibility properties. Factors of 1 to 100 are provided below along with the type of number.
Factors of prime number
Prime factors are positive numbers greater than 1 and have two factors. They have exactly two distinct positive divisors: 1 and themselves.
For example 2,3,5,7, and so on.
The factor of these numbers is 1 and the given number itself.
Factors of composite numbers
Composite numbers, on the other hand, are positive integers greater than 1 that have more than two distinct factors. They have more than two distinctive positive divisors.
For example 4,6,8,10 and so on. Let’s take 4 to understand the factor concept more clearly.
Factors of 4 are-
4 = 2 × 2
So, the prime factorization of 4 is 2 × 2 and the Factor of 4 is 1,2,4.
We will also, make a table to understand the factors of composite numbers from 1 to 100.
List of factors 1-100 | Factor of 1 to 100
We will list down factors of all numbers from 1 to 100.
In this list, you will see the prime and the composite numbers with their factors.
| Numbers | Factors of 1-100 | Prime/Composite Number |
| Factor of 1 | 1 | Neither Prime nor composite |
| Factor of 2 | 1, 2 | Prime |
| Factor of 3 | 1, 3 | Prime |
| Factor of 4 | 1, 2, 4 | Composite |
| Factor of 5 | 1, 5 | Prime |
| Factor of 6 | 1, 2, 3, 6 | Composite |
| Factor of 7 | 1, 7 | Prime |
| Factor of 8 | 1, 2, 4, 8 | Composite |
| Factor of 9 | 1, 3, 9 | Composite |
| Factor of 10 | 1, 2, 5, 10 | Composite |
| Factor of 11 | 1, 11 | Prime |
| Factor of 12 | 1, 2, 3, 4, 6, 12 | Composite |
| Factor of 13 | 1, 13 | Prime |
| Factor of 14 | 1, 2, 7, 14 | Composite |
| Factor of 15 | 1, 3, 5, 15 | Composite |
| Factor of 16 | 1, 2, 4, 8, 16 | Composite |
| Factor of 17 | 1, 17 | Prime |
| Factor of 18 | 1, 2, 3, 6, 9, 18 | Composite |
| Factor of 19 | 1, 19 | Prime |
| Factor of 20 | 1, 2, 4, 5, 10, 20 | Composite |
| Factor of 21 | 1, 3, 7, 21 | Composite |
| Factor of 22 | 1, 2, 11, 22 | Composite |
| Factor of 23 | 1, 23 | Prime |
| Factor of 24 | 1, 2, 3, 4, 6, 8, 12, 24 | Composite |
| Factor of 25 | 1, 5, 25 | Composite |
| Factor of 26 | 1, 2, 13, 26 | Composite |
| Factor of 27 | 1, 3, 9, 27 | Composite |
| Factor of 28 | 1, 2, 4, 7, 14, 28 | Composite |
| Factor of 29 | 1, 29 | Prime |
| Factor of 30 | 1, 2, 3, 5, 6, 10, 15, 30 | Composite |
| Factor of 31 | 1, 31 | Prime |
| Factor of 32 | 1, 2, 4, 8, 16, 32 | Composite |
| Factor of 33 | 1, 3, 11, 33 | Composite |
| Factor of 34 | 1, 2, 17, 34 | Composite |
| Factor of 35 | 1, 5, 7, 35 | Composite |
| Factor of 36 | 1, 2, 3, 4, 6, 9, 12, 18, 36 | Composite |
| Factor of 37 | 1, 37 | Prime |
| Factor of 38 | 1, 2, 19, 38 | Composite |
| Factor of 39 | 1, 3, 13, 39 | Composite |
| Factor of 40 | 1, 2, 4, 5, 8, 10, 20, 40 | Composite |
| Factor of 41 | 1, 41 | Prime |
| Factor of 42 | 1, 2, 3, 6, 7, 14, 21, 42 | Composite |
| Factor of 43 | 1, 43 | Prime |
| Factor of 44 | 1, 2, 4, 11, 22, 44 | Composite |
| Factor of 45 | 1, 3, 5, 9, 15, 45 | Composite |
| Factor of 46 | 1, 2, 23, 46 | Composite |
| Factor of 47 | 1, 47 | Prime |
| Factor of 48 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 | Composite |
| Factor of 49 | 1, 7, 49 | Composite |
| Factor of 50 | 1, 2, 5, 10, 25, 50 | Composite |
| Factor of 51 | 1, 3, 17, 51 | Composite |
| Factor of 52 | 1, 2, 4, 13, 26, 52 | Composite |
| Factor of 53 | 1, 53 | Prime |
| Factor of 54 | 1, 2, 3, 6, 9, 18, 27, 54 | Composite |
| Factor of 55 | 1, 5, 11, 55 | Composite |
| Factor of 56 | 1, 2, 4, 7, 8, 14, 28, 56 | Composite |
| Factor of 57 | 1, 3, 19, 57 | Composite |
| Factor of 58 | 1, 2, 29, 58 | Composite |
| Factor of 59 | 1, 59 | Prime |
| Factor of 60 | 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 | Composite |
| Factor of 61 | 1, 61 | Prime |
| Factor of 62 | 1, 2, 31, 62 | Composite |
| 63 | 1, 3, 7, 9, 21, 63 | Composite |
| Factor of 64 | 1, 2, 4, 8, 16, 32, 64 | Composite |
| Factor of 65 | 1, 5, 13, 65 | Composite |
| Factor of 66 | 1, 2, 3, 6, 11, 22, 33, 66 | Composite |
| Factor of 67 | 1, 67 | Prime |
| Factor of 68 | 1, 2, 4, 17, 34, 68 | Composite |
| Factor of 69 | 1, 3, 23, 69 | Composite |
| Factor of 70 | 1, 2, 5, 7, 10, 14, 35, 70 | Composite |
| Factor of 71 | 1, 71 | Prime |
| Factor of 72 | 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 | Composite |
| Factor of 73 | 1, 73 | Prime |
| Factor of 74 | 1, 2, 37, 74 | Composite |
| Factor of 75 | 1, 3, 5, 15, 25, 75 | Composite |
| Factor of 76 | 1, 2, 4, 19, 38, 76 | Composite |
| Factor of 77 | 1, 7, 11, 77 | Composite |
| Factor of 78 | 1, 2, 3, 6, 13, 26, 39, 78 | Composite |
| Factor of 79 | 1, 79 | Prime |
| Factor of 80 | 1, 2, 4, 5, 8, 10, 16, 20, 40, 80 | Composite |
| Factor of 81 | 1, 3, 9, 27, 81 | Composite |
| Factor of 82 | 1, 2, 41, 82 | Composite |
| Factor of 83 | 1, 83 | Prime |
| Factor of 84 | 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 | Composite |
| Factor of 85 | 1, 5, 17, 85 | Composite |
| Factor of 86 | 1, 2, 43, 86 | Composite |
| Factor of 87 | 1, 3, 29, 87 | Composite |
| Factor of 88 | 1, 2, 4, 8, 11, 22, 44, 88 | Composite |
| Factor of 89 | 1, 89 | Prime |
| Factor of 90 | 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 | Composite |
| Factor of 91 | 1, 7, 13, 91 | Composite |
| Factor of 92 | 1, 2, 4, 23, 46, 92 | Composite |
| Factor of 93 | 1, 3, 31, 93 | Composite |
| Factor of 94 | 1, 2, 47, 94 | Composite |
| Factor of 95 | 1, 5, 19, 95 | Composite |
| Factor of 96 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 | Composite |
| Factor of 97 | 1, 97 | Prime |
| Factor of 98 | 1, 2, 7, 14, 49, 98 | Composite |
| Factor of 99 | 1, 3, 9, 11, 33, 99 | Composite |
| Factor of 100 | 1, 2, 4, 5, 10, 20, 25, 50, 100 | Composite |
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