# List of Prime Factorizations of Integers from 2 to 200

For your convenience, I have listed the unique prime factorizations of integers from $2$ to $200$. To make it look more compact, repeated prime numbers are expressed in exponential forms.

• $2$ is prime.
• $3$ is prime.
• $4 = {2^2}$
• $5$ is prime.
• $6 = 2 \cdot 3$
• $7$ is prime.
• $8 = {2^3}$
• $9 = {3^2}$
• $10 = 2 \cdot 5$
• $11$ is prime.
• $12 = {2^2} \cdot 3$
• $13$ is prime.
• $14 = 2 \cdot 7$
• $15 = 3 \cdot 5$

• $16 = {2^4}$
• $17$ is prime.
• $18 = 2 \cdot {3^2}$
• $19$ is prime.
• $20 = {2^2} \cdot 5$
• $21 = 3 \cdot 7$
• $22 = 2 \cdot 11$
• $23$ is prime.
• $24 = {2^3} \cdot 3$
• $25 = {5^2}$

• $26 = 2 \cdot 13$
• $27 = {3^3}$
• $28 = {2^2} \cdot 7$
• $29$ is prime.
• $30 = 2 \cdot 3 \cdot 5$
• $31$ is prime.
• $32 = {2^5}$
• $33 = 3 \cdot 11$
• $34 = 2 \cdot 17$
• $35 = 5 \cdot 7$

• $36 = {2^2} \cdot {3^2}$
• $37$ is prime.
• $38 = 2 \cdot 19$
• $39$ is prime.
• $40 = {2^3} \cdot 5$
• $41$ is prime.
• $42 = 2 \cdot 3 \cdot 7$
• $43$ is prime.
• $44 = {2^2} \cdot 11$
• $45 = {3^2} \cdot 5$
• $46 = 2 \cdot 23$
• $47$ is prime.
• $48 = {2^4} \cdot 3$

• $49 = {7^2}$
• $50 = 2 \cdot {5^2}$
• $51 = 3 \cdot 17$
• $52 = {2^2} \cdot 13$
• $53$ is prime.
• $54 = 2 \cdot {3^3}$
• $55 = 5 \cdot 11$
• $56 = {2^3} \cdot 7$
• $57 = 3 \cdot 19$
• $58 = 2 \cdot 29$
• $59$ is prime.
• $60 = {2^2} \cdot 3 \cdot 5$
• $61$ is prime.
• $62 = 2 \cdot 31$
• $63 = {3^2} \cdot 7$
• $64 = {2^6}$
• $65 = 5 \cdot 13$
• $66 = 2 \cdot 3 \cdot 11$
• $67$ is prime.
• $68 = {2^2} \cdot 17$
• $69 = 3 \cdot 23$
• $70 = 2 \cdot 5 \cdot 7$
• $71$ is prime.
• $72 = {2^3} \cdot {3^2}$
• $73$ is prime.
• $74 = 2 \cdot 37$
• $75 = 3 \cdot {5^2}$

• $76 = {2^2} \cdot 19$
• $77 = 7 \cdot 11$
• $78 = 2 \cdot 3 \cdot 13$
• $79$ is prime.
• $80 = {2^4} \cdot 5$
• $81 = {3^4}$
• $82 = 2 \cdot 41$
• $83$ is prime.
• $84 = {2^2} \cdot 3 \cdot 7$
• $85 = 5 \cdot 17$
• $86 = 2 \cdot 43$
• $87 = 3 \cdot 29$
• $88 = {2^3} \cdot 11$
• $89$ is prime.
• $90 = 2 \cdot {3^2} \cdot 5$
• $91 = 7 \cdot 13$
• $92 = {2^2} \cdot 23$
• $93 = 3 \cdot 31$
• $94 = 2 \cdot 47$
• $95 = 5 \cdot 19$
• $96 = {2^5} \cdot 3$
• $97$ is prime.
• $98 = 2 \cdot {7^2}$
• $99 = {3^2} \cdot 11$
• $100 = {2^2} \cdot {5^2}$
• $101$ is prime.
• $102 = 2 \cdot 3 \cdot 17$
• $103$ is prime.
• $104 = {2^3} \cdot 13$
• $105 = 3 \cdot 5 \cdot 7$
• $106 = 2 \cdot 53$
• $107$ is prime.
• $108 = {2^2} \cdot {3^3}$
• $109$ is prime.
• $110 = 2 \cdot 5 \cdot 11$
• $111 = 3 \cdot 37$
• $112 = {2^4} \cdot 7$
• $113$ is prime.
• $114 = 2 \cdot 3 \cdot 19$
• $115 = 5 \cdot 23$
• $116 = {2^2} \cdot 29$
• $117 = {3^2} \cdot 13$
• $118 = 2 \cdot 59$
• $119 = 7 \cdot 17$
• $120 = {2^3} \cdot 3 \cdot 5$
• $121 = {11^2}$
• $122 = 2 \cdot 61$
• $123 = 3 \cdot 41$
• $124 = {2^2} \cdot 31$
• $125 = {5^3}$
• $126 = 2 \cdot {3^2} \cdot 7$
• $127$ is prime.
• $128 = {2^7}$
• $129 = 3 \cdot 43$
• $130 = 2 \cdot 5 \cdot 13$
• $131$ is prime.
• $132 = {2^2} \cdot 3 \cdot 11$
• $133 = 7 \cdot 19$
• $134 = 2 \cdot 67$
• $135 = {3^3} \cdot 5$
• $136 = {2^3} \cdot 17$
• $137$ is prime.
• $138 = 2 \cdot 3 \cdot 23$
• $139$ is prime.
• $140 = {2^2} \cdot 5 \cdot 7$
• $141 = 3 \cdot 47$
• $142 = 2 \cdot 71$
• $143 = 11 \cdot 13$
• $144 = {2^4} \cdot {3^2}$
• $145 = 5 \cdot 29$
• $146 = 2 \cdot 73$
• $147 = 3 \cdot {7^2}$
• $148 = {2^2} \cdot 37$
• $149$ is prime.
• $150 = 2 \cdot 3 \cdot {5^2}$
• $151$ is prime.
• $152 = {2^3} \cdot 19$
• $153 = {3^2} \cdot 17$
• $154 = 2 \cdot 7 \cdot 11$
• $155 = 5 \cdot 31$
• $156 = {2^2} \cdot 3 \cdot 13$
• $157$ is prime.
• $158 = 2 \cdot 79$
• $159 = 3 \cdot 53$
• $160 = {2^5} \cdot 5$
• $161 = 7 \cdot 23$
• $162 = 2 \cdot {3^4}$
• $163$ is prime.
• $164 = {2^2} \cdot 41$
• $165 = 3 \cdot 5 \cdot 11$
• $166 = 2 \cdot 83$
• $167$ is prime.
• $168 = {2^3} \cdot 3 \cdot 7$
• $169 = {13^2}$
• $170 = 2 \cdot 5 \cdot 17$
• $171 = {3^2} \cdot 19$
• $172 = {2^2} \cdot 43$
• $173$ is prime.
• $174 = 2 \cdot 3 \cdot 29$
• $175 = {5^2} \cdot 7$
• $176 = {2^4} \cdot 11$
• $177 = 3 \cdot 59$
• $178 = 2 \cdot 89$
• $179$ is prime.
• $180 = {2^2} \cdot {3^2} \cdot 5$
• $181$ is prime.
• $182 = 2 \cdot 7 \cdot 13$
• $183 = 3 \cdot 61$
• $184 = {2^3} \cdot 23$
• $185 = 5 \cdot 37$
• $186 = 2 \cdot 3 \cdot 31$
• $187 = 11 \cdot 17$
• $188 = {2^2} \cdot 47$
• $189 = {3^3} \cdot 7$
• $190 = 2 \cdot 5 \cdot 19$
• $191$ is prime.
• $192 = {2^6} \cdot 3$
• $193$ is prime.
• $194 = 2 \cdot 97$
• $195 = 3 \cdot 5 \cdot 13$
• $196 = {2^2} \cdot {7^2}$
• $197$ is prime.
• $198 = 2 \cdot {3^2} \cdot 11$
• $199$ is prime.
• $200 = {2^3} \cdot {5^2}$

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