Table of prime factors
# Table of prime factors

The tables contain the prime factorization of the natural numbers from 1 to 1000.

When n is a prime number, the prime factorization is just n itself, written in bold below.

The number 1 is called a unit. It has no prime factors and is neither prime nor composite.

## Properties

Many properties of a natural number n can be seen or directly computed from the prime factorization of n.

* The multiplicity of a prime factor p of n is the largest exponent m for which $p^m$ divides n. The tables show the multiplicity for each prime factor. If no exponent is written then the multiplicity is 1 (since p = $p^1).$ The multiplicity of a prime which does not divide n may be called 0 or may be considered undefined.
* Ω(n), the big Omega function, is the number of prime factors of n counted with multiplicity (so it is the sum of all prime factor multiplicities).
* A prime number has Ω(n) = 1. The first: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37 (sequence A000040 in the OEIS). There are many special types of prime numbers.
* A composite number has Ω(n) > 1. The first: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21 (sequence A002808 in the OEIS). All numbers above 1 are either prime or composite. 1 is neither.
* A semiprime has Ω(n) = 2 (so it is composite). The first: 4, 6, 9, 10, 14, 15, 21, 22, 25, 26, 33, 34 (sequence A001358 in the OEIS).
* A k-almost prime (for a natural number k) has Ω(n) = k (so it is composite if k > 1).
* An even number has the prime factor 2. The first: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24 (sequence A005843 in the OEIS).
* An odd number does not have the prime factor 2. The first: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23 (sequence A005408 in the OEIS). All integers are either even or odd.
* A square has even multiplicity for all prime factors (it is of the form $a^2$ for some a). The first: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 (sequence A000290 in the OEIS).
* A cube has all multiplicities divisible by 3 (it is of the form $a^3$ for some a). The first: 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, 1331, 1728 (sequence A000578 in the OEIS).
* A perfect power has a common divisor m > 1 for all multiplicities (it is of the form $a^m$ for some a > 1 and m > 1). The first: 4, 8, 9, 16, 25, 27, 32, 36, 49, 64, 81, 100 (sequence A001597 in the OEIS). 1 is sometimes included.
* A powerful number (also called squareful) has multiplicity above 1 for all prime factors. The first: 1, 4, 8, 9, 16, 25, 27, 32, 36, 49, 64, 72 (sequence A001694 in the OEIS).
* A prime power has only one prime factor. The first: 2, 3, 4, 5, 7, 8, 9, 11, 13, 16, 17, 19 (sequence A000961 in the OEIS). 1 is sometimes included.
* An Achilles number is powerful but not a perfect power. The first: 72, 108, 200, 288, 392, 432, 500, 648, 675, 800, 864, 968 (sequence A052486 in the OEIS).
* A square-free integer has no prime factor with multiplicity above 1. The first: 1, 2, 3, 5, 6, 7, 10, 11, 13, 14, 15, 17 (sequence A005117 in the OEIS)). A number where some but not all prime factors have multiplicity above 1 is neither square-free nor squareful.
* The Liouville function λ(n) is 1 if Ω(n) is even, and is -1 if Ω(n) is odd.
* The Möbius function μ(n) is 0 if n is not square-free. Otherwise μ(n) is 1 if Ω(n) is even, and is −1 if Ω(n) is odd.
* A sphenic number has Ω(n) = 3 and is square-free (so it is the product of 3 distinct primes). The first: 30, 42, 66, 70, 78, 102, 105, 110, 114, 130, 138, 154 (sequence A007304 in the OEIS).
* $a_0(n)$ is the sum of primes dividing n, counted with multiplicity. It is an additive function.
* A Ruth-Aaron pair is two consecutive numbers (x, x+1) with $a_0(x)$ = $a_0(x+1).$ The first (by x value): 5, 8, 15, 77, 125, 714, 948, 1330, 1520, 1862, 2491, 3248 (sequence A039752 in the OEIS), another definition is the same prime only count once, if so, the first (by x value): 5, 24, 49, 77, 104, 153, 369, 492, 714, 1682, 2107, 2299 (sequence A006145 in the OEIS)
* A primorial x# is the product of all primes from 2 to x. The first: 2, 6, 30, 210, 2310, 30030, 510510, 9699690, 223092870, 6469693230, 200560490130, 7420738134810 (sequence A002110 in the OEIS). 1# = 1 is sometimes included.
* A factorial x! is the product of all numbers from 1 to x. The first: 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600 (sequence A000142 in the OEIS). 0! = 1 is sometimes included.
* A k-smooth number (for a natural number k) has largest prime factor ≤ k (so it is also j-smooth for any j > k).
* m is smoother than n if the largest prime factor of m is below the largest of n.
* A regular number has no prime factor above 5 (so it is 5-smooth). The first: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16 (sequence A051037 in the OEIS).
* A k-powersmooth number has all $p^m$ ≤ k where p is a prime factor with multiplicity m.
* A frugal number has more digits than the number of digits in its prime factorization (when written like below tables with multiplicities above 1 as exponents). The first in decimal: 125, 128, 243, 256, 343, 512, 625, 729, 1024, 1029, 1215, 1250 (sequence A046759 in the OEIS).
* An equidigital number has the same number of digits as its prime factorization. The first in decimal: 1, 2, 3, 5, 7, 10, 11, 13, 14, 15, 16, 17 (sequence A046758 in the OEIS).
* An extravagant number has fewer digits than its prime factorization. The first in decimal: 4, 6, 8, 9, 12, 18, 20, 22, 24, 26, 28, 30 (sequence A046760 in the OEIS).
* An economical number has been defined as a frugal number, but also as a number that is either frugal or equidigital.
* gcd(m, n) (greatest common divisor of m and n) is the product of all prime factors which are both in m and n (with the smallest multiplicity for m and n).
* m and n are coprime (also called relatively prime) if gcd(m, n) = 1 (meaning they have no common prime factor).
* lcm(m, n) (least common multiple of m and n) is the product of all prime factors of m or n (with the largest multiplicity for m or n).
* gcd(m, n) × lcm(m, n) = m × n. Finding the prime factors is often harder than computing gcd and lcm using other algorithms which do not require known prime factorization.
* m is a divisor of n (also called m divides n, or n is divisible by m) if all prime factors of m have at least the same multiplicity in n.

The divisors of n are all products of some or all prime factors of n (including the empty product 1 of no prime factors). The number of divisors can be computed by increasing all multiplicities by 1 and then multiplying them. Divisors and properties related to divisors are shown in table of divisors.

## 1 to 100

1 − 20 :

| 1 | |
| - | - |
| 2 | 2 |
| 3 | 3 |
| 4 | $2^2$ |
| 5 | 5 |
| 6 | 2·3 |
| 7 | 7 |
| 8 | $2^3$ |
| 9 | $3^2$ |
| 10 | 2·5 |
| 11 | 11 |
| 12 | $2^2·3$ |
| 13 | 13 |
| 14 | 2·7 |
| 15 | 3·5 |
| 16 | $2^4$ |
| 17 | 17 |
| 18 | $2·3^2$ |
| 19 | 19 |
| 20 | $2^2·5$ |

21 − 40 :

| 21 | 3·7 |
| - | - |
| 22 | 2·11 |
| 23 | 23 |
| 24 | $2^3·3$ |
| 25 | $5^2$ |
| 26 | 2·13 |
| 27 | $3^3$ |
| 28 | $2^2·7$ |
| 29 | 29 |
| 30 | 2·3·5 |
| 31 | 31 |
| 32 | $2^5$ |
| 33 | 3·11 |
| 34 | 2·17 |
| 35 | 5·7 |
| 36 | $2^2·3^2$ |
| 37 | 37 |
| 38 | 2·19 |
| 39 | 3·13 |
| 40 | $2^3·5$ |

41 − 60 :

| 41 | 41 |
| - | - |
| 42 | 2·3·7 |
| 43 | 43 |
| 44 | $2^2·11$ |
| 45 | $3^2·5$ |
| 46 | 2·23 |
| 47 | 47 |
| 48 | $2^4·3$ |
| 49 | $7^2$ |
| 50 | $2·5^2$ |
| 51 | 3·17 |
| 52 | $2^2·13$ |
| 53 | 53 |
| 54 | $2·3^3$ |
| 55 | 5·11 |
| 56 | $2^3·7$ |
| 57 | 3·19 |
| 58 | 2·29 |
| 59 | 59 |
| 60 | $2^2·3·5$ |

61 − 80 :

| 61 | 61 |
| - | - |
| 62 | 2·31 |
| 63 | $3^2·7$ |
| 64 | $2^6$ |
| 65 | 5·13 |
| 66 | 2·3·11 |
| 67 | 67 |
| 68 | $2^2·17$ |
| 69 | 3·23 |
| 70 | 2·5·7 |
| 71 | 71 |
| 72 | $2^3·3^2$ |
| 73 | 73 |
| 74 | 2·37 |
| 75 | $3·5^2$ |
| 76 | $2^2·19$ |
| 77 | 7·11 |
| 78 | 2·3·13 |
| 79 | 79 |
| 80 | $2^4·5$ |

81 − 100 :

| 81 | $3^4$ |
| - | - |
| 82 | 2·41 |
| 83 | 83 |
| 84 | $2^2·3·7$ |
| 85 | 5·17 |
| 86 | 2·43 |
| 87 | 3·29 |
| 88 | $2^3·11$ |
| 89 | 89 |
| 90 | $2·3^2·5$ |
| 91 | 7·13 |
| 92 | $2^2·23$ |
| 93 | 3·31 |
| 94 | 2·47 |
| 95 | 5·19 |
| 96 | $2^5·3$ |
| 97 | 97 |
| 98 | $2·7^2$ |
| 99 | $3^2·11$ |
| 100 | $2^2·5^2$ |

## 101 to 200

101 − 120 :

| 101 | 101 |
| - | - |
| 102 | 2·3·17 |
| 103 | 103 |
| 104 | $2^3·13$ |
| 105 | 3·5·7 |
| 106 | 2·53 |
| 107 | 107 |
| 108 | $2^2·3^3$ |
| 109 | 109 |
| 110 | 2·5·11 |
| 111 | 3·37 |
| 112 | $2^4·7$ |
| 113 | 113 |
| 114 | 2·3·19 |
| 115 | 5·23 |
| 116 | $2^2·29$ |
| 117 | $3^2·13$ |
| 118 | 2·59 |
| 119 | 7·17 |
| 120 | $2^3·3·5$ |

121 − 140 :

| 121 | $11^2$ |
| - | - |
| 122 | 2·61 |
| 123 | 3·41 |
| 124 | $2^2·31$ |
| 125 | $5^3$ |
| 126 | $2·3^2·7$ |
| 127 | 127 |
| 128 | $2^7$ |
| 129 | 3·43 |
| 130 | 2·5·13 |
| 131 | 131 |
| 132 | $2^2·3·11$ |
| 133 | 7·19 |
| 134 | 2·67 |
| 135 | $3^3·5$ |
| 136 | $2^3·17$ |
| 137 | 137 |
| 138 | 2·3·23 |
| 139 | 139 |
| 140 | $2^2·5·7$ |

141 − 160 :

| 141 | 3·47 |
| - | - |
| 142 | 2·71 |
| 143 | 11·13 |
| 144 | $2^4·3^2$ |
| 145 | 5·29 |
| 146 | 2·73 |
| 147 | $3·7^2$ |
| 148 | $2^2·37$ |
| 149 | 149 |
| 150 | $2·3·5^2$ |
| 151 | 151 |
| 152 | $2^3·19$ |
| 153 | $3^2·17$ |
| 154 | 2·7·11 |
| 155 | 5·31 |
| 156 | $2^2·3·13$ |
| 157 | 157 |
| 158 | 2·79 |
| 159 | 3·53 |
| 160 | $2^5·5$ |

161 − 180 :

| 161 | 7·23 |
| - | - |
| 162 | $2·3^4$ |
| 163 | 163 |
| 164 | $2^2·41$ |
| 165 | 3·5·11 |
| 166 | 2·83 |
| 167 | 167 |
| 168 | $2^3·3·7$ |
| 169 | $13^2$ |
| 170 | 2·5·17 |
| 171 | $3^2·19$ |
| 172 | $2^2·43$ |
| 173 | 173 |
| 174 | 2·3·29 |
| 175 | $5^2·7$ |
| 176 | $2^4·11$ |
| 177 | 3·59 |
| 178 | 2·89 |
| 179 | 179 |
| 180 | $2^2·3^2·5$ |

181 − 200 :

| 181 | 181 |
| - | - |
| 182 | 2·7·13 |
| 183 | 3·61 |
| 184 | $2^3·23$ |
| 185 | 5·37 |
| 186 | 2·3·31 |
| 187 | 11·17 |
| 188 | $2^2·47$ |
| 189 | $3^3·7$ |
| 190 | 2·5·19 |
| 191 | 191 |
| 192 | $2^6·3$ |
| 193 | 193 |
| 194 | 2·97 |
| 195 | 3·5·13 |
| 196 | $2^2·7^2$ |
| 197 | 197 |
| 198 | $2·3^2·11$ |
| 199 | 199 |
| 200 | $2^3·5^2$ |

## 201 to 300

201 − 220 :

| 201 | 3·67 |
| - | - |
| 202 | 2·101 |
| 203 | 7·29 |
| 204 | $2^2·3·17$ |
| 205 | 5·41 |
| 206 | 2·103 |
| 207 | $3^2·23$ |
| 208 | $2^4·13$ |
| 209 | 11·19 |
| 210 | 2·3·5·7 |
| 211 | 211 |
| 212 | $2^2·53$ |
| 213 | 3·71 |
| 214 | 2·107 |
| 215 | 5·43 |
| 216 | $2^3·3^3$ |
| 217 | 7·31 |
| 218 | 2·109 |
| 219 | 3·73 |
| 220 | $2^2·5·11$ |

221 − 240 :

| 221 | 13·17 |
| - | - |
| 222 | 2·3·37 |
| 223 | 223 |
| 224 | $2^5·7$ |
| 225 | $3^2·5^2$ |
| 226 | 2·113 |
| 227 | 227 |
| 228 | $2^2·3·19$ |
| 229 | 229 |
| 230 | 2·5·23 |
| 231 | 3·7·11 |
| 232 | $2^3·29$ |
| 233 | 233 |
| 234 | $2·3^2·13$ |
| 235 | 5·47 |
| 236 | $2^2·59$ |
| 237 | 3·79 |
| 238 | 2·7·17 |
| 239 | 239 |
| 240 | $2^4·3·5$ |

241 − 260 :

| 241 | 241 |
| - | - |
| 242 | $2·11^2$ |
| 243 | $3^5$ |
| 244 | $2^2·61$ |
| 245 | $5·7^2$ |
| 246 | 2·3·41 |
| 247 | 13·19 |
| 248 | $2^3·31$ |
| 249 | 3·83 |
| 250 | $2·5^3$ |
| 251 | 251 |
| 252 | $2^2·3^2·7$ |
| 253 | 11·23 |
| 254 | 2·127 |
| 255 | 3·5·17 |
| 256 | $2^8$ |
| 257 | 257 |
| 258 | 2·3·43 |
| 259 | 7·37 |
| 260 | $2^2·5·13$ |

261 − 280 :

| 261 | $3^2·29$ |
| - | - |
| 262 | 2·131 |
| 263 | 263 |
| 264 | $2^3·3·11$ |
| 265 | 5·53 |
| 266 | 2·7·19 |
| 267 | 3·89 |
| 268 | $2^2·67$ |
| 269 | 269 |
| 270 | $2·3^3·5$ |
| 271 | 271 |
| 272 | $2^4·17$ |
| 273 | 3·7·13 |
| 274 | 2·137 |
| 275 | $5^2·11$ |
| 276 | $2^2·3·23$ |
| 277 | 277 |
| 278 | 2·139 |
| 279 | $3^2·31$ |
| 280 | $2^3·5·7$ |

281 − 300 :

| 281 | 281 |
| - | - |
| 282 | 2·3·47 |
| 283 | 283 |
| 284 | $2^2·71$ |
| 285 | 3·5·19 |
| 286 | 2·11·13 |
| 287 | 7·41 |
| 288 | $2^5·3^2$ |
| 289 | $17^2$ |
| 290 | 2·5·29 |
| 291 | 3·97 |
| 292 | $2^2·73$ |
| 293 | 293 |
| 294 | $2·3·7^2$ |
| 295 | 5·59 |
| 296 | $2^3·37$ |
| 297 | $3^3·11$ |
| 298 | 2·149 |
| 299 | 13·23 |
| 300 | $2^2·3·5^2$ |

## 301 to 400

301 − 320 :

| 301 | 7·43 |
| - | - |
| 302 | 2·151 |
| 303 | 3·101 |
| 304 | $2^4·19$ |
| 305 | 5·61 |
| 306 | $2·3^2·17$ |
| 307 | 307 |
| 308 | $2^2·7·11$ |
| 309 | 3·103 |
| 310 | 2·5·31 |
| 311 | 311 |
| 312 | $2^3·3·13$ |
| 313 | 313 |
| 314 | 2·157 |
| 315 | $3^2·5·7$ |
| 316 | $2^2·79$ |
| 317 | 317 |
| 318 | 2·3·53 |
| 319 | 11·29 |
| 320 | $2^6·5$ |

321 − 340 :

| 321 | 3·107 |
| - | - |
| 322 | 2·7·23 |
| 323 | 17·19 |
| 324 | $2^2·3^4$ |
| 325 | $5^2·13$ |
| 326 | 2·163 |
| 327 | 3·109 |
| 328 | $2^3·41$ |
| 329 | 7·47 |
| 330 | 2·3·5·11 |
| 331 | 331 |
| 332 | $2^2·83$ |
| 333 | $3^2·37$ |
| 334 | 2·167 |
| 335 | 5·67 |
| 336 | $2^4·3·7$ |
| 337 | 337 |
| 338 | $2·13^2$ |
| 339 | 3·113 |
| 340 | $2^2·5·17$ |

341 − 360 :

| 341 | 11·31 |
| - | - |
| 342 | $2·3^2·19$ |
| 343 | $7^3$ |
| 344 | $2^3·43$ |
| 345 | 3·5·23 |
| 346 | 2·173 |
| 347 | 347 |
| 348 | $2^2·3·29$ |
| 349 | 349 |
| 350 | $2·5^2·7$ |
| 351 | $3^3·13$ |
| 352 | $2^5·11$ |
| 353 | 353 |
| 354 | 2·3·59 |
| 355 | 5·71 |
| 356 | $2^2·89$ |
| 357 | 3·7·17 |
| 358 | 2·179 |
| 359 | 359 |
| 360 | $2^3·3^2·5$ |

361 − 380 :

| 361 | $19^2$ |
| - | - |
| 362 | 2·181 |
| 363 | $3·11^2$ |
| 364 | $2^2·7·13$ |
| 365 | 5·73 |
| 366 | 2·3·61 |
| 367 | 367 |
| 368 | $2^4·23$ |
| 369 | $3^2·41$ |
| 370 | 2·5·37 |
| 371 | 7·53 |
| 372 | $2^2·3·31$ |
| 373 | 373 |
| 374 | 2·11·17 |
| 375 | $3·5^3$ |
| 376 | $2^3·47$ |
| 377 | 13·29 |
| 378 | $2·3^3·7$ |
| 379 | 379 |
| 380 | $2^2·5·19$ |

381 − 400 :

| 381 | 3·127 |
| - | - |
| 382 | 2·191 |
| 383 | 383 |
| 384 | $2^7·3$ |
| 385 | 5·7·11 |
| 386 | 2·193 |
| 387 | $3^2·43$ |
| 388 | $2^2·97$ |
| 389 | 389 |
| 390 | 2·3·5·13 |
| 391 | 17·23 |
| 392 | $2^3·7^2$ |
| 393 | 3·131 |
| 394 | 2·197 |
| 395 | 5·79 |
| 396 | $2^2·3^2·11$ |
| 397 | 397 |
| 398 | 2·199 |
| 399 | 3·7·19 |
| 400 | $2^4·5^2$ |

## 401 to 500

401 − 420 :

| 401 | 401 |
| - | - |
| 402 | 2·3·67 |
| 403 | 13·31 |
| 404 | $2^2·101$ |
| 405 | $3^4·5$ |
| 406 | 2·7·29 |
| 407 | 11·37 |
| 408 | $2^3·3·17$ |
| 409 | 409 |
| 410 | 2·5·41 |
| 411 | 3·137 |
| 412 | $2^2·103$ |
| 413 | 7·59 |
| 414 | $2·3^2·23$ |
| 415 | 5·83 |
| 416 | $2^5·13$ |
| 417 | 3·139 |
| 418 | 2·11·19 |
| 419 | 419 |
| 420 | $2^2·3·5·7$ |

421 − 440 :

| 421 | 421 |
| - | - |
| 422 | 2·211 |
| 423 | $3^2·47$ |
| 424 | $2^3·53$ |
| 425 | $5^2·17$ |
| 426 | 2·3·71 |
| 427 | 7·61 |
| 428 | $2^2·107$ |
| 429 | 3·11·13 |
| 430 | 2·5·43 |
| 431 | 431 |
| 432 | $2^4·3^3$ |
| 433 | 433 |
| 434 | 2·7·31 |
| 435 | 3·5·29 |
| 436 | $2^2·109$ |
| 437 | 19·23 |
| 438 | 2·3·73 |
| 439 | 439 |
| 440 | $2^3·5·11$ |

441 − 460 :

| 441 | $3^2·7^2$ |
| - | - |
| 442 | 2·13·17 |
| 443 | 443 |
| 444 | $2^2·3·37$ |
| 445 | 5·89 |
| 446 | 2·223 |
| 447 | 3·149 |
| 448 | $2^6·7$ |
| 449 | 449 |
| 450 | $2·3^2·5^2$ |
| 451 | 11·41 |
| 452 | $2^2·113$ |
| 453 | 3·151 |
| 454 | 2·227 |
| 455 | 5·7·13 |
| 456 | $2^3·3·19$ |
| 457 | 457 |
| 458 | 2·229 |
| 459 | $3^3·17$ |
| 460 | $2^2·5·23$ |

461 − 480 :

| 461 | 461 |
| - | - |
| 462 | 2·3·7·11 |
| 463 | 463 |
| 464 | $2^4·29$ |
| 465 | 3·5·31 |
| 466 | 2·233 |
| 467 | 467 |
| 468 | $2^2·3^2·13$ |
| 469 | 7·67 |
| 470 | 2·5·47 |
| 471 | 3·157 |
| 472 | $2^3·59$ |
| 473 | 11·43 |
| 474 | 2·3·79 |
| 475 | $5^2·19$ |
| 476 | $2^2·7·17$ |
| 477 | $3^2·53$ |
| 478 | 2·239 |
| 479 | 479 |
| 480 | $2^5·3·5$ |

481 − 500 :

| 481 | 13·37 |
| - | - |
| 482 | 2·241 |
| 483 | 3·7·23 |
| 484 | $2^2·11^2$ |
| 485 | 5·97 |
| 486 | $2·3^5$ |
| 487 | 487 |
| 488 | $2^3·61$ |
| 489 | 3·163 |
| 490 | $2·5·7^2$ |
| 491 | 491 |
| 492 | $2^2·3·41$ |
| 493 | 17·29 |
| 494 | 2·13·19 |
| 495 | $3^2·5·11$ |
| 496 | $2^4·31$ |
| 497 | 7·71 |
| 498 | 2·3·83 |
| 499 | 499 |
| 500 | $2^2·5^3$ |

## 501 to 600

501 − 520 :

| 501 | 3·167 |
| - | - |
| 502 | 2·251 |
| 503 | 503 |
| 504 | $2^3·3^2·7$ |
| 505 | 5·101 |
| 506 | 2·11·23 |
| 507 | $3·13^2$ |
| 508 | $2^2·127$ |
| 509 | 509 |
| 510 | 2·3·5·17 |
| 511 | 7·73 |
| 512 | $2^9$ |
| 513 | $3^3·19$ |
| 514 | 2·257 |
| 515 | 5·103 |
| 516 | $2^2·3·43$ |
| 517 | 11·47 |
| 518 | 2·7·37 |
| 519 | 3·173 |
| 520 | $2^3·5·13$ |

521 − 540 :

| 521 | 521 |
| - | - |
| 522 | $2·3^2·29$ |
| 523 | 523 |
| 524 | $2^2·131$ |
| 525 | $3·5^2·7$ |
| 526 | 2·263 |
| 527 | 17·31 |
| 528 | $2^4·3·11$ |
| 529 | $23^2$ |
| 530 | 2·5·53 |
| 531 | $3^2·59$ |
| 532 | $2^2·7·19$ |
| 533 | 13·41 |
| 534 | 2·3·89 |
| 535 | 5·107 |
| 536 | $2^3·67$ |
| 537 | 3·179 |
| 538 | 2·269 |
| 539 | $7^2·11$ |
| 540 | $2^2·3^3·5$ |

541 − 560 :

| 541 | 541 |
| - | - |
| 542 | 2·271 |
| 543 | 3·181 |
| 544 | $2^5·17$ |
| 545 | 5·109 |
| 546 | 2·3·7·13 |
| 547 | 547 |
| 548 | $2^2·137$ |
| 549 | $3^2·61$ |
| 550 | $2·5^2·11$ |
| 551 | 19·29 |
| 552 | $2^3·3·23$ |
| 553 | 7·79 |
| 554 | 2·277 |
| 555 | 3·5·37 |
| 556 | $2^2·139$ |
| 557 | 557 |
| 558 | $2·3^2·31$ |
| 559 | 13·43 |
| 560 | $2^4·5·7$ |

561 − 580 :

| 561 | 3·11·17 |
| - | - |
| 562 | 2·281 |
| 563 | 563 |
| 564 | $2^2·3·47$ |
| 565 | 5·113 |
| 566 | 2·283 |
| 567 | $3^4·7$ |
| 568 | $2^3·71$ |
| 569 | 569 |
| 570 | 2·3·5·19 |
| 571 | 571 |
| 572 | $2^2·11·13$ |
| 573 | 3·191 |
| 574 | 2·7·41 |
| 575 | $5^2·23$ |
| 576 | $2^6·3^2$ |
| 577 | 577 |
| 578 | $2·17^2$ |
| 579 | 3·193 |
| 580 | $2^2·5·29$ |

581 − 600 :

| 581 | 7·83 |
| - | - |
| 582 | 2·3·97 |
| 583 | 11·53 |
| 584 | $2^3·73$ |
| 585 | $3^2·5·13$ |
| 586 | 2·293 |
| 587 | 587 |
| 588 | $2^2·3·7^2$ |
| 589 | 19·31 |
| 590 | 2·5·59 |
| 591 | 3·197 |
| 592 | $2^4·37$ |
| 593 | 593 |
| 594 | $2·3^3·11$ |
| 595 | 5·7·17 |
| 596 | $2^2·149$ |
| 597 | 3·199 |
| 598 | 2·13·23 |
| 599 | 599 |
| 600 | $2^3·3·5^2$ |

## 601 to 700

601 − 620 :

| 601 | 601 |
| - | - |
| 602 | 2·7·43 |
| 603 | $3^2·67$ |
| 604 | $2^2·151$ |
| 605 | $5·11^2$ |
| 606 | 2·3·101 |
| 607 | 607 |
| 608 | $2^5·19$ |
| 609 | 3·7·29 |
| 610 | 2·5·61 |
| 611 | 13·47 |
| 612 | $2^2·3^2·17$ |
| 613 | 613 |
| 614 | 2·307 |
| 615 | 3·5·41 |
| 616 | $2^3·7·11$ |
| 617 | 617 |
| 618 | 2·3·103 |
| 619 | 619 |
| 620 | $2^2·5·31$ |

621 − 640 :

| 621 | $3^3·23$ |
| - | - |
| 622 | 2·311 |
| 623 | 7·89 |
| 624 | $2^4·3·13$ |
| 625 | $5^4$ |
| 626 | 2·313 |
| 627 | 3·11·19 |
| 628 | $2^2·157$ |
| 629 | 17·37 |
| 630 | $2·3^2·5·7$ |
| 631 | 631 |
| 632 | $2^3·79$ |
| 633 | 3·211 |
| 634 | 2·317 |
| 635 | 5·127 |
| 636 | $2^2·3·53$ |
| 637 | $7^2·13$ |
| 638 | 2·11·29 |
| 639 | $3^2·71$ |
| 640 | $2^7·5$ |

641 − 660 :

| 641 | 641 |
| - | - |
| 642 | 2·3·107 |
| 643 | 643 |
| 644 | $2^2·7·23$ |
| 645 | 3·5·43 |
| 646 | 2·17·19 |
| 647 | 647 |
| 648 | $2^3·3^4$ |
| 649 | 11·59 |
| 650 | $2·5^2·13$ |
| 651 | 3·7·31 |
| 652 | $2^2·163$ |
| 653 | 653 |
| 654 | 2·3·109 |
| 655 | 5·131 |
| 656 | $2^4·41$ |
| 657 | $3^2·73$ |
| 658 | 2·7·47 |
| 659 | 659 |
| 660 | $2^2·3·5·11$ |

661 − 680 :

| 661 | 661 |
| - | - |
| 662 | 2·331 |
| 663 | 3·13·17 |
| 664 | $2^3·83$ |
| 665 | 5·7·19 |
| 666 | $2·3^2·37$ |
| 667 | 23·29 |
| 668 | $2^2·167$ |
| 669 | 3·223 |
| 670 | 2·5·67 |
| 671 | 11·61 |
| 672 | $2^5·3·7$ |
| 673 | 673 |
| 674 | 2·337 |
| 675 | $3^3·5^2$ |
| 676 | $2^2·13^2$ |
| 677 | 677 |
| 678 | 2·3·113 |
| 679 | 7·97 |
| 680 | $2^3·5·17$ |

681 − 700 :

| 681 | 3·227 |
| - | - |
| 682 | 2·11·31 |
| 683 | 683 |
| 684 | $2^2·3^2·19$ |
| 685 | 5·137 |
| 686 | $2·7^3$ |
| 687 | 3·229 |
| 688 | $2^4·43$ |
| 689 | 13·53 |
| 690 | 2·3·5·23 |
| 691 | 691 |
| 692 | $2^2·173$ |
| 693 | $3^2·7·11$ |
| 694 | 2·347 |
| 695 | 5·139 |
| 696 | $2^3·3·29$ |
| 697 | 17·41 |
| 698 | 2·349 |
| 699 | 3·233 |
| 700 | $2^2·5^2·7$ |

## 701 to 800

701 − 720 :

| 701 | 701 |
| - | - |
| 702 | $2·3^3·13$ |
| 703 | 19·37 |
| 704 | $2^6·11$ |
| 705 | 3·5·47 |
| 706 | 2·353 |
| 707 | 7·101 |
| 708 | $2^2·3·59$ |
| 709 | 709 |
| 710 | 2·5·71 |
| 711 | $3^2·79$ |
| 712 | $2^3·89$ |
| 713 | 23·31 |
| 714 | 2·3·7·17 |
| 715 | 5·11·13 |
| 716 | $2^2·179$ |
| 717 | 3·239 |
| 718 | 2·359 |
| 719 | 719 |
| 720 | $2^4·3^2·5$ |

721 − 740 :

| 721 | 7·103 |
| - | - |
| 722 | $2·19^2$ |
| 723 | 3·241 |
| 724 | $2^2·181$ |
| 725 | $5^2·29$ |
| 726 | $2·3·11^2$ |
| 727 | 727 |
| 728 | $2^3·7·13$ |
| 729 | $3^6$ |
| 730 | 2·5·73 |
| 731 | 17·43 |
| 732 | $2^2·3·61$ |
| 733 | 733 |
| 734 | 2·367 |
| 735 | $3·5·7^2$ |
| 736 | $2^5·23$ |
| 737 | 11·67 |
| 738 | $2·3^2·41$ |
| 739 | 739 |
| 740 | $2^2·5·37$ |

741 − 760 :

| 741 | 3·13·19 |
| - | - |
| 742 | 2·7·53 |
| 743 | 743 |
| 744 | $2^3·3·31$ |
| 745 | 5·149 |
| 746 | 2·373 |
| 747 | $3^2·83$ |
| 748 | $2^2·11·17$ |
| 749 | 7·107 |
| 750 | $2·3·5^3$ |
| 751 | 751 |
| 752 | $2^4·47$ |
| 753 | 3·251 |
| 754 | 2·13·29 |
| 755 | 5·151 |
| 756 | $2^2·3^3·7$ |
| 757 | 757 |
| 758 | 2·379 |
| 759 | 3·11·23 |
| 760 | $2^3·5·19$ |

761 − 780 :

| 761 | 761 |
| - | - |
| 762 | 2·3·127 |
| 763 | 7·109 |
| 764 | $2^2·191$ |
| 765 | $3^2·5·17$ |
| 766 | 2·383 |
| 767 | 13·59 |
| 768 | $2^8·3$ |
| 769 | 769 |
| 770 | 2·5·7·11 |
| 771 | 3·257 |
| 772 | $2^2·193$ |
| 773 | 773 |
| 774 | $2·3^2·43$ |
| 775 | $5^2·31$ |
| 776 | $2^3·97$ |
| 777 | 3·7·37 |
| 778 | 2·389 |
| 779 | 19·41 |
| 780 | $2^2·3·5·13$ |

781 − 800 :

| 781 | 11·71 |
| - | - |
| 782 | 2·17·23 |
| 783 | $3^3·29$ |
| 784 | $2^4·7^2$ |
| 785 | 5·157 |
| 786 | 2·3·131 |
| 787 | 787 |
| 788 | $2^2·197$ |
| 789 | 3·263 |
| 790 | 2·5·79 |
| 791 | 7·113 |
| 792 | $2^3·3^2·11$ |
| 793 | 13·61 |
| 794 | 2·397 |
| 795 | 3·5·53 |
| 796 | $2^2·199$ |
| 797 | 797 |
| 798 | 2·3·7·19 |
| 799 | 17·47 |
| 800 | $2^5·5^2$ |

## 801 to 900

801 - 820 :

| 801 | $3^2·89$ |
| - | - |
| 802 | 2·401 |
| 803 | 11·73 |
| 804 | $2^2·3·67$ |
| 805 | 5·7·23 |
| 806 | 2·13·31 |
| 807 | 3·269 |
| 808 | $2^3·101$ |
| 809 | 809 |
| 810 | $2·3^4·5$ |
| 811 | 811 |
| 812 | $2^2·7·29$ |
| 813 | 3·271 |
| 814 | 2·11·37 |
| 815 | 5·163 |
| 816 | $2^4·3·17$ |
| 817 | 19·43 |
| 818 | 2·409 |
| 819 | $3^2·7·13$ |
| 820 | $2^2·5·41$ |

821 - 840 :

| 821 | 821 |
| - | - |
| 822 | 2·3·137 |
| 823 | 823 |
| 824 | $2^3·103$ |
| 825 | $3·5^2·11$ |
| 826 | 2·7·59 |
| 827 | 827 |
| 828 | $2^2·3^2·23$ |
| 829 | 829 |
| 830 | 2·5·83 |
| 831 | 3·277 |
| 832 | $2^6·13$ |
| 833 | $7^2·17$ |
| 834 | 2·3·139 |
| 835 | 5·167 |
| 836 | $2^2·11·19$ |
| 837 | $3^3·31$ |
| 838 | 2·419 |
| 839 | 839 |
| 840 | $2^3·3·5·7$ |

841 - 860 :

| 841 | $29^2$ |
| - | - |
| 842 | 2·421 |
| 843 | 3·281 |
| 844 | $2^2·211$ |
| 845 | $5·13^2$ |
| 846 | $2·3^2·47$ |
| 847 | $7·11^2$ |
| 848 | $2^4·53$ |
| 849 | 3·283 |
| 850 | $2·5^2·17$ |
| 851 | 23·37 |
| 852 | $2^2·3·71$ |
| 853 | 853 |
| 854 | 2·7·61 |
| 855 | $3^2·5·19$ |
| 856 | $2^3·107$ |
| 857 | 857 |
| 858 | 2·3·11·13 |
| 859 | 859 |
| 860 | $2^2·5·43$ |

861 - 880 :

| 861 | 3·7·41 |
| - | - |
| 862 | 2·431 |
| 863 | 863 |
| 864 | $2^5·3^3$ |
| 865 | 5·173 |
| 866 | 2·433 |
| 867 | $3·17^2$ |
| 868 | $2^2·7·31$ |
| 869 | 11·79 |
| 870 | 2·3·5·29 |
| 871 | 13·67 |
| 872 | $2^3·109$ |
| 873 | $3^2·97$ |
| 874 | 2·19·23 |
| 875 | $5^3·7$ |
| 876 | $2^2·3·73$ |
| 877 | 877 |
| 878 | 2·439 |
| 879 | 3·293 |
| 880 | $2^4·5·11$ |

881 - 900 :

| 881 | 881 |
| - | - |
| 882 | $2·3^2·7^2$ |
| 883 | 883 |
| 884 | $2^2·13·17$ |
| 885 | 3·5·59 |
| 886 | 2·443 |
| 887 | 887 |
| 888 | $2^3·3·37$ |
| 889 | 7·127 |
| 890 | 2·5·89 |
| 891 | $3^4·11$ |
| 892 | $2^2·223$ |
| 893 | 19·47 |
| 894 | 2·3·149 |
| 895 | 5·179 |
| 896 | $2^7·7$ |
| 897 | 3·13·23 |
| 898 | 2·449 |
| 899 | 29·31 |
| 900 | $2^2·3^2·5^2$ |

## 901 to 1000

901 - 920 :

| 901 | 17·53 |
| - | - |
| 902 | 2·11·41 |
| 903 | 3·7·43 |
| 904 | $2^3·113$ |
| 905 | 5·181 |
| 906 | 2·3·151 |
| 907 | 907 |
| 908 | $2^2·227$ |
| 909 | $3^2·101$ |
| 910 | 2·5·7·13 |
| 911 | 911 |
| 912 | $2^4·3·19$ |
| 913 | 11·83 |
| 914 | 2·457 |
| 915 | 3·5·61 |
| 916 | $2^2·229$ |
| 917 | 7·131 |
| 918 | $2·3^3·17$ |
| 919 | 919 |
| 920 | $2^3·5·23$ |

921 - 940 :

| 921 | 3·307 |
| - | - |
| 922 | 2·461 |
| 923 | 13·71 |
| 924 | $2^2·3·7·11$ |
| 925 | $5^2·37$ |
| 926 | 2·463 |
| 927 | $3^2·103$ |
| 928 | $2^5·29$ |
| 929 | 929 |
| 930 | 2·3·5·31 |
| 931 | $7^2·19$ |
| 932 | $2^2·233$ |
| 933 | 3·311 |
| 934 | 2·467 |
| 935 | 5·11·17 |
| 936 | $2^3·3^2·13$ |
| 937 | 937 |
| 938 | 2·7·67 |
| 939 | 3·313 |
| 940 | $2^2·5·47$ |

941 - 960 :

| 941 | 941 |
| - | - |
| 942 | 2·3·157 |
| 943 | 23·41 |
| 944 | $2^4·59$ |
| 945 | $3^3·5·7$ |
| 946 | 2·11·43 |
| 947 | 947 |
| 948 | $2^2·3·79$ |
| 949 | 13·73 |
| 950 | $2·5^2·19$ |
| 951 | 3·317 |
| 952 | $2^3·7·17$ |
| 953 | 953 |
| 954 | $2·3^2·53$ |
| 955 | 5·191 |
| 956 | $2^2·239$ |
| 957 | 3·11·29 |
| 958 | 2·479 |
| 959 | 7·137 |
| 960 | $2^6·3·5$ |

961 - 980 :

| 961 | $31^2$ |
| - | - |
| 962 | 2·13·37 |
| 963 | $3^2·107$ |
| 964 | $2^2·241$ |
| 965 | 5·193 |
| 966 | 2·3·7·23 |
| 967 | 967 |
| 968 | $2^3·11^2$ |
| 969 | 3·17·19 |
| 970 | 2·5·97 |
| 971 | 971 |
| 972 | $2^2·3^5$ |
| 973 | 7·139 |
| 974 | 2·487 |
| 975 | $3·5^2·13$ |
| 976 | $2^4·61$ |
| 977 | 977 |
| 978 | 2·3·163 |
| 979 | 11·89 |
| 980 | $2^2·5·7^2$ |

981 - 1000 :

| 981 | $3^2·109$ |
| - | - |
| 982 | 2·491 |
| 983 | 983 |
| 984 | $2^3·3·41$ |
| 985 | 5·197 |
| 986 | 2·17·29 |
| 987 | 3·7·47 |
| 988 | $2^2·13·19$ |
| 989 | 23·43 |
| 990 | $2·3^2·5·11$ |
| 991 | 991 |
| 992 | $2^5·31$ |
| 993 | 3·331 |
| 994 | 2·7·71 |
| 995 | 5·199 |
| 996 | $2^2·3·83$ |
| 997 | 997 |
| 998 | 2·499 |
| 999 | $3^3·37$ |
| 1000 | $2^3·5^3$ |
