What are the factors of 12?
1, 2, 3, 4, 6, 12
1, 2, 5, 10, 12
1, 2, 4, 6, 8
1, 3, 6, 12, 24
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
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.
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
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.
Text prompt
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20 Examples of Gas lighting
What are the factors of 12?
1, 2, 3, 4, 6, 12
1, 2, 5, 10, 12
1, 2, 4, 6, 8
1, 3, 6, 12, 24
Which of the following is not a factor of 18?
1
2
5
9
How many factors does the number 30 have?
4
8
16
32
What are the prime factors of 45?
3, 5
1, 45
2, 3, 15
3, 3, 5
Which number below has exactly 3 factors?
10
15
16
18
What is the smallest prime factor of 99?
2
3
5
7
Which of these numbers is a factor of 56?
8
10
12
14
How many factors does the number 36 have?
6
8
9
12
What are the factors of 25?
1, 5, 25
1, 2, 5, 10, 25
1, 3, 5, 25
1, 2, 10, 25
Which number is a factor of both 48 and 60?
5
7
12
15
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