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Factored Integers - Listing Integers as Products of their Factors

This reference page is a factored integer list, showing about a couple hundred positive integers completely factored out as products of smaller integers, including their prime factorization. Prime numbers have exactly two different factors: the number itself and the number one. So the number one is not a prime.

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2 is prime
3 is prime
4 = (2)(2) is a square, and a power of two
5 is prime
6 = (2)(3)
7 is prime
8 = (2)(4) = (2)(2)(2) is a cube, and a power of two
9 = (3)(3) is a square, and a power of three
10 = (2)(5)
11 is prime
12 = (2)(6) = (3)(4) = (2)(2)(3)
13 is prime
14 = (2)(7)
15 = (3)(5)
16 = (2)(8) = (4)(4) = (2)(2)(2)(2) is a square, and a power of two
17 is prime
18 = (2)(9) = (3)(6) = (2)(3)(3)
19 is prime
20 = (2)(10) = (4)(5) = (2)(2)(5)
21 = (3)(7)
22 = (2)(11)
23 is prime
24 = (2)(12) = (3)(8) = (4)(6) = (2)(2)(2)(3)
25 = (5)(5) is a square, and a power of five
26 = (2)(13)
27 = (3)(9) = (3)(3)(3) is a cube, and a power of three
28 = (2)(14) = (4)(7) = (2)(2)(7)
29 is prime
30 = (2)(15) = (3)(10) = (5)(6) = (2)(3)(5)
31 is prime
32 = (2)(16) = (4)(8) = (2)(2)(2)(2)(2) is a power of two
33 = (3)(11)
34 = (2)(17)
35 = (5)(7)
36 = (2)(18) = (3)(12) = (4)(9) = (6)(6) = (2)(2)(3)(3) is a square
37 is prime
38 = (2)(19)
39 = (3)(13)
40 = (2)(20) = (4)(10) = (5)(8) = (2)(2)(2)(5)
41 is prime
42 = (2)(21) = (3)(14) = (6)(7) = (2)(3)(7)
43 is prime
44 = (2)(22) = (4)(11) = (2)(2)(11)
45 = (3)(15) = (5)(9) = (3)(3)(5)
46 = (2)(23)
47 is prime
48 = (2)(24) = (3)(16) = (4)(12) = (6)(8) = (2)(2)(2)(2)(3)
49 = (7)(7) is a square
50 = (2)(25) = (5)(10) = (2)(5)(5)
51 = (3)(17)
52 = (2)(26) = (4)(13) = (2)(2)(13)
53 is prime
54 = (2)(27) = (3)(18) = (6)(9) = (2)(3)(3)(3)
55 = (5)(11)
56 = (2)(28) = (4)(14) = (7)(8) = (2)(2)(2)(7)
57 = (3)(19)
58 = (2)(29)
59 is prime
60 = (2)(30) = (3)(20) = (4)(15) = (5)(12) = (6)(10) = (2)(2)(3)(5)
61 is prime
62 = (2)(31)
63 = (3)(21) = (7)(9) = (3)(3)(7)
64 = (2)(32) = (4)(16) = (8)(8) = (2)(2)(2)(2)(2)(2) is a square, a cube, and a power of two
65 = (5)(13)
66 = (2)(33) = (3)(22) = (6)(11) = (2)(3)(11)
67 is prime
68 = (2)(34) = (4)(17) = (2)(2)(17)
69 = (3)(23)
70 = (2)(35) = (5)(14) = (7)(10) = (2)(5)(7)
71 is prime
72 = (2)(36) = (3)(24) = (4)(18) = (6)(12) = (8)(9) = (2)(2)(2)(3)(3)
73 is prime
74 = (2)(37)
75 = (3)(25) = (5)(15) = (3)(5)(5)
76 = (2)(38) = (4)(19) = (2)(2)(19)
77 = (7)(11)
78 = (2)(39) = (3)(26) = (6)(13) = (2)(3)(13)
79 is prime
80 = (2)(40) = (4)(20) = (5)(16) = (2)(2)(2)(2)(5)
81 = (3)(27) = (9)(9) = (3)(3)(3)(3) is a square, and a power of three
82 = (2)(41)
83 is prime
84 = (2)(42) = (3)(28) = (4)(21) = (6)(14) = (7)(12) = (2)(2)(3)(7)
85 = (5)(17)
86 = (2)(43)
87 = (3)(29)
88 = (2)(44) = (4)(22) = (8)(11) = (2)(2)(2)(11)
89 is prime
90 = (2)(45) = (3)(30) = (5)(18) = (6)(15) = (9)(10) = (2)(3)(3)(5)
91 = (7)(13)
92 = (2)(46) = (4)(23) = (2)(2)(23)
93 = (3)(31)
94 = (2)(47)
95 = (5)(19)
96 = (2)(48) = (3)(32) = (4)(24) = (6)(16) = (8)(12) = (2)(2)(2)(2)(2)(3)
97 is prime
98 = (2)(49) = (7)(14) = (2)(7)(7)
99 = (3)(33) = (9)(11) = (3)(3)(11)
100 = (2)(50) = (4)(25) = (5)(20) = (10)(10) = (2)(2)(5)(5) is a square, and a power of ten
101 is prime
102 = (2)(51) = (3)(34) = (6)(17) = (2)(3)(17)
103 is prime
104 = (2)(52) = (4)(26) = (8)(13) = (2)(2)(2)(13)
105 = (3)(35) = (5)(21) = (7)(15) = (3)(5)(7)
106 = (2)(53)
107 is prime
108 = (2)(54) = (3)(36) = (4)(27) = (6)(18) = (9)(12) = (2)(2)(3)(3)(3)
109 is prime
110 = (2)(55) = (5)(22) = (10)(11) = (2)(5)(11)
111 = (3)(37)
112 = (2)(56) = (4)(28) = (7)(16) = (8)(14) = (2)(2)(2)(2)(7)
113 is prime
114 = (2)(57) = (3)(38) = (6)(19) = (2)(3)(19)
115 = (5)(23)
116 = (2)(58) = (4)(29) = (2)(2)(29)
117 = (3)(39) = (9)(13) = (3)(3)(13)
118 = (2)(59)
119 = (7)(17)
120 = (2)(60) = (3)(40) = (4)(30) = (5)(24) = (6)(20) = (8)(15) = (10)(12) = (2)(2)(2)(3)(5)
121 = (11)(11) is a square
122 = (2)(61)
123 = (3)(41)
124 = (2)(62) = (4)(31) = (2)(2)(31)
125 = (5)(25) = (5)(5)(5) is a cube, and a power of five
126 = (2)(63) = (3)(42) = (6)(21) = (7)(18) = (9)(14) = (2)(3)(3)(7)
127 is prime
128 = (2)(64) = (4)(32) = (8)(16) = (2)(2)(2)(2)(2)(2)(2) is a power of two
129 = (3)(43)
130 = (2)(65) = (5)(26) = (10)(13) = (2)(5)(13)
131 is prime
132 = (2)(66) = (3)(44) = (4)(33) = (6)(22) = (11)(12) = (2)(2)(3)(11)
133 = (7)(19)
134 = (2)(67)
135 = (3)(45) = (5)(27) = (9)(15) = (3)(3)(3)(5)
136 = (2)(68) = (4)(34) = (8)(17) = (2)(2)(2)(17)
137 is prime
138 = (2)(69) = (3)(46) = (6)(23) = (2)(3)(23)
139 is prime
140 = (2)(70) = (4)(35) = (5)(28) = (7)(20) = (10)(14) = (2)(2)(5)(7)
141 = (3)(47)
142 = (2)(71)
143 = (11)(13)
144 = (2)(72) = (3)(48) = (4)(36) = (6)(24) = (8)(18) = (9)(16) = (12)(12) = (2)(2)(2)(2)(3)(3) is a square
145 = (5)(29)
146 = (2)(73)
147 = (3)(49) = (7)(21) = (3)(7)(7)
148 = (2)(74) = (4)(37)
149 is prime
150 = (2)(75) = (3)(50) = (5)(30) = (6)(25) = (10)(15) = (2)(3)(5)(5)
151 is prime
152 = (2)(76) = (4)(38) = (8)(19) = (2)(2)(2)(19)
153 = (3)(51) = (9)(17) = (3)(3)(17)
154 = (2)(77) = (7)(22) = (11)(14) = (2)(7)(11)
155 = (5)(31)
156 = (2)(78) = (3)(52) = (4)(39) = (6)(26) = (12)(13) = (2)(2)(3)(13)
157 is prime
158 = (2)(79)
159 = (3)(53)
160 = (2)(80) = (4)(40) = (5)(32) = (8)(20) = (10)(16) = (2)(2)(2)(2)(2)(5)
161 = (7)(23)
162 = (2)(81) = (3)(54) = (6)(27) = (9)(18) = (2)(3)(3)(3)(3)
163 is prime
164 = (2)(82) = (4)(41) = (2)(2)(41)
165 = (3)(55) = (5)(33) = (11)(15) = (3)(5)(11)
166 = (2)(83)
167 is prime
168 = (2)(84) = (3)(56) = (4)(42) = (6)(28) = (7)(24) = (8)(21) = (12)(14) = (2)(2)(2)(3)(7)
169 = (13)(13) is a square
170 = (2)(85) = (5)(34) = (10)(17) = (2)(5)(17)
171 = (3)(57) = (9)(19) = (3)(3)(19)
172 = (2)(86) = (4)(43) = (2)(2)(43)
173 is prime
174 = (2)(87) = (3)(58) = (6)(29) = (2)(3)(29)
175 = (5)(35) = (7)(25) = (5)(5)(7)
176 = (2)(88) = (4)(44) = (8)(22) = (11)(16) = (2)(2)(2)(2)(11)
177 = (3)(59)
178 = (2)(89)
179 is prime
180 = (2)(90) = (3)(60) = (4)(45) = (5)(36) = (6)(30) = (9)(20) = (10)(18) = (12)(15) = (2)(2)(3)(3)(5)
181 is prime
182 = (2)(91) = (7)(26) = (13)(14) = (2)(7)(13)
183 = (3)(61)
184 = (2)(92) = (4)(46) = (8)(23) = (2)(2)(2)(23)
185 = (5)(37)
186 = (2)(93) = (3)(62) = (6)(31) = (2)(3)(31)
187 = (11)(17)
188 = (2)(94) = (4)(47) = (2)(2)(47)
189 = (3)(63) = (7)(27) = (9)(21) = (3)(3)(3)(7)
190 = (2)(95) = (5)(38) = (10)(19) = (2)(5)(19)
191 is prime
192 = (2)(96) = (3)(64) = (4)(48) = (6)(32) = (8)(24) = (12)(16) = (2)(2)(2)(2)(2)(2)(3)
193 is prime
194 = (2)(97)
195 = (3)(65) = (5)(39) = (13)(15) = (3)(5)(13)
196 = (2)(98) = (4)(49) = (7)(28) = (14)(14) = (2)(2)(7)(7) is a square
197 is prime
198 = (2)(99) = (3)(66) = (6)(33) = (9)(22) = (11)(18) = (2)(3)(3)(11)
199 is prime
200 = (2)(100) = (4)(50) = (5)(40) = (8)(25) = (10)(20) = (2)(2)(2)(5)(5)
201 = (3)(67)
202 = (2)(101)
203 = (7)(29)
204 = (2)(102) = (3)(68) = (4)(51) = (6)(34) = (12)(17) = (2)(2)(3)(17)
205 = (5)(41)
206 = (2)(103)

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Last review: April 28, 2017