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Prime Factor Calculator

 

 

 

Prime factors of any number is the determination of the set of prime numbers which are multiply together to give the original number.

It is also known as prime decomposition.

For example

Prime factors for 188 is 2 x 2 x 47

by multiplying (2 x 2 x 47) together we get original number 188.

Prime factors Table (2 to 100)

Numbers Factors Prime Factors
2 1, 2 2
3 1, 3 3
4 1, 2, 4 2 x 2
5 1, 5 5
6 1, 2, 3, 6 2 x 3
7 1, 7 7
8 1, 2, 4, 8 2 x 2 x 2
9 1, 3, 9 3 x 3
10 1, 2, 5, 10 2 x 5
11 1, 11 11
12 1, 2, 3, 4, 6, 12 2 x 2 x 3
13 1, 13 13
14 1, 2, 7, 14 2 x 7
15 1, 3, 5, 15 3 x 5
16 1, 2, 4, 8, 16 2 x 2 x 2 x 2
17 1, 17 17
18 1, 2, 3, 6, 9, 18 2 x 3 x 3
19 1, 19 19
20 1, 2, 4, 5, 10, 20 2 x 2 x 5
21 1, 3, 7, 21 3 x 7
22 1, 2, 11, 22 2 x 11
23 1, 23 23
24 1, 2, 3, 4, 6, 8, 12, 24 2 x 2 x 2 x 3
25 1, 5, 25 5 x 5
26 1, 2, 13, 26 2 x 13
27 1, 3, 9, 27 3 x 3 x 3
28 1, 2, 4, 7, 14, 28 2 x 2 x 7
29 1, 29 29
30 1, 2, 3, 5, 6, 10, 15, 30 2 x 3 x 5
31 1, 31 31
32 1, 2, 4, 8, 16, 32 2 x 2 x 2 x 2 x 2
33 1, 3, 11, 33 3 x 11
34 1, 2, 17, 34 2 x 17
35 1, 5, 7, 35 5 x 7
36 1, 2, 3, 4, 6, 9, 12, 18, 36 2 x 2 x 3 x 3
37 1, 37 37
38 1, 2, 19, 38 2 x 19
39 1, 3, 13, 39 3 x 13
40 1, 2, 4, 5, 8, 10, 20, 40 2 x 2 x 2 x 5
41 1, 41 41
42 1, 2, 3, 6, 7, 14, 21, 42 2 x 3 x 7
43 1, 43 43
44 1, 2, 4, 11, 22, 44 2 x 2 x 11
45 1, 3, 5, 9, 15, 45 3 x 3 x 5
46 1, 2, 23, 46 2 x 23
47 1, 47 47
48 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 2 x 2 x 2 x 2 x 3
49 1, 7, 49 7 x 7
50 1, 2, 5, 10, 25, 50 2 x 5 x 5
51 1, 3, 17, 51 3 x 17
52 1, 2, 4, 13, 26, 52 2 x 2 x 13
53 1, 53 53
54 1, 2, 3, 6, 9, 18, 27, 54 2 x 3 x 3 x 3
55 1, 5, 11, 55 5 x 11
56 1, 2, 4, 7, 8, 14, 28, 56 2 x 2 x 2 x 7
57 1, 3, 19, 57 3 x 19
58 1, 2, 29, 58 2 x 29
59 1, 59 59
60 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 2 x 2 x 3 x 5
61 1, 61 61
62 1, 2, 31, 62 2 x 31
63 1, 3, 7, 9, 21, 63 3 x 3 x 7
64 1, 2, 4, 8, 16, 32, 64 2 x 2 x 2 x 2 x 2 x 2
65 1, 5, 13, 65 5 x 13
66 1, 2, 3, 6, 11, 22, 33, 66 2 x 3 x 11
67 1, 67 67
68 1, 2, 4, 17, 34, 68 2 x 2 x 17
69 1, 3, 23, 69 3 x 23
70 1, 2, 5, 7, 10, 14, 35, 70 2 x 5 x 7
71 1, 71 71
72 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 2 x 2 x 2 x 3 x 3
73 1, 73 73
74 1, 2, 37, 74 2 x 37
75 1, 3, 5, 15, 25, 75 3 x 5 x 5
76 1, 2, 4, 19, 38, 76 2 x 2 x 19
77 1, 7, 11, 77 7 x 11
78 1, 2, 3, 6, 13, 26, 39, 78 2 x 3 x 13
79 1, 79 79
80 1, 2, 4, 5, 8, 10, 16, 20, 40, 80 2 x 2 x 2 x 2 x 5
81 1, 3, 9, 27, 81 3 x 3 x 3 x 3
82 1, 2, 41, 82 2 x 41
83 1, 83 83
84 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 2 x 2 x 3 x 7
85 1, 5, 17, 85 5 x 17
86 1, 2, 43, 86 2 x 43
87 1, 3, 29, 87 3 x 29
88 1, 2, 4, 8, 11, 22, 44, 88 2 x 2 x 2 x 11
89 1, 89 89
90 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 2 x 3 x 3 x 5
91 1, 7, 13, 91 7 x 13
92 1, 2, 4, 23, 46, 92 2 x 2 x 23
93 1, 3, 31, 93 3 x 31
94 1, 2, 47, 94 2 x 47
95 1, 5, 19, 95 5 x 19
96 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 2 x 2 x 2 x 2 x 2 x 3
97 1, 97 97
98 1, 2, 7, 14, 49, 98 2 x 7 x 7
99 1, 3, 9, 11, 33, 99 3 x 3 x 11
100 1, 2, 4, 5, 10, 20, 25, 50, 100 2 x 2 x 5 x 5