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List of Integers as Products of their Factors
This is a reference page listing about a couple hundred positive integers completely factored out as products of smaller integers, including their prime factorization. Prime numbers cannot be factored except as the product of the number itself times the number one.
Please report any possible mistake to tutor@sdmath.com. Thank you.
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)(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)
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»Factored Integers«
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