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Prime Factors

In number theory, the prime factors of a positive integer are the prime numbers that divide into that integer exactly, without leaving a remainder. I have made a table listing the prime factors for numbers up to 1000.(Soon to be expanded to 2000). Each number is clickable and has it's own page with other properties and facts about it. To find the prime factors for larger numbers try the Prime Factor Calculator.

n Prime
Factors

1 1

2 Prime Number

3 Prime Number

4 2x2

5 Prime Number

6 2x3

7 Prime Number

8 2x2x2

9 3x3

10 2x5

11 Prime Number

12 2x2x3

13 Prime Number

14 2x7

15 3x5

16 2x2x2x2

17 Prime Number

18 2x3x3

19 Prime Number

20 2x2x5

21 3x7

22 2x11

23 Prime Number

24 2x2x2x3

25 5x5

26 2x13

27 3x3x3

28 2x2x7

29 Prime Number

30 2x3x5

31 Prime Number

32 2x2x2x2x2

33 3x11

34 2x17

35 5x7

36 2x2x3x3

37 Prime Number

38 2x19

39 3x13

40 2x2x2x5

41 Prime Number

42 2x3x7

43 Prime Number

44 2x2x11

45 3x3x5

46 2x23

47 Prime Number

48 2x2x2x2x3

49 7x7

50 2x5x5

51 3 x 17

52 2x3x13

53 Prime Number

54 2x3x3x3

55 5x11

56 2x2x2x7

57 3x19

58 2x29

59 Prime Number

60 2x2x3x5

61 Prime Number

62 2x31

63 3x3x7

64 2x2x2x2x2x2

65 5x13

66 2x3x11

67 Prime Number

68 2x3x11

69 3x23

70 2x5x7

71 Prime Number

72 2x2x2x3x3

73 Prime Number

74 2x37

75 3x5x5

76 2x2x19

77 7x11

78 2x3x13

79 Prime Number

80 2x2x2x2x5

81 3x3x3x3

82 2x41

83 Prime Number

84 2x2x3x7

85 5x17

86 2x43

87 3x29

88 2x2x2x11

89 Prime Number

90 2x3x3x5

91 7x13

92 2x2x23

93 3x31

94 2x47

95 5x19

96 2x2x2x2x2x3

97 Prime Number

98 2x7x7

99 3x3x11

100 2x2x5x5

101 Prime Number

102 2x3x17

103 Prime Number

104 2x2x2x13

105 3x5x7

106 2x53

107 Prime Number

108 2x2x3x3x3

109 Prime Number

110 2x5x11

111 3x37

112 2x2x2x2x7

113 Prime Number

114 2x3x19

115 5x23

116 2x2x29

117 3x3x13

118 2x59

119 7x17

120 2x2x2x3x5

121 11x11

122 2x61

123 3x41

124 2x2x31

125 5x5x5

126 2x3x3x7

127 Prime Number

128 2x2x2x2x2x2x2

129 3x43

130 2x5x13

131 Prime Number

132 2x2x3x11

133 7x19

134 2x67

135 3x3x3x5

136 2x2x2x17

137 Prime Number

138 2x3x23

139 Prime Number

140 2x2x5x7

141 3x47

142 2x71

143 11x13

144 2x2x2x2x3x3

145 5x29

146 2x73

147 3x7x7

148 2x2x37

149 Prime Number

150 2x3x5x5

151 Prime Number

152 2x2x2x19

153 3x3x17

154 2x7x11

155 5x31

156 2x2x3x13

157 Prime Number

158 2x79

159 3x53

160 2x2x2x2x2x5

161 7x23

162 2x3x3x3x3

163 Prime Number

164 2x2x41

165 3x5x11

166 2x83

167 Prime Number

168 2x2x2x3x7

169 13x13

170 2x5x17

171 3x3x19

172 2x2x43

173 Prime Number

174 2x3x29

175 5x5x7

176 2x2x2x2x11

177 3x59

178 2x89

179 Prime Number

180 2x2x3x3x5

181 Prime Number

182 2x7x13

183 3x61

184 2x2x2x23

185 5x37

186 2x3x31

187 11x17

188 2x2x47

189 3x3x3x7

190 2x5x19

191 Prime Number

192 2x2x2x2x2x2x3

193 Prime Number

194 2x97

195 3x5x13

196 2x2x7x7

197 Prime Number

198 2x3x3x11

199 Prime Number

200 2x2x2x3x3x5

201 3x67

202 2x101

203 7x29

204 2x2x3x17

205 5x41

206 2x103

207 3x3x23

208 2x2x2x2x13

209 11x19

210 2x3x5x7

211 Prime Number

212 2x2x53

213 3x71

214 2x107

215 5x43

216 2x2x2x3x3x3

217 7x31

218 2x109

219 3x73

220 2x2x5x11

221 13x17

222 2x3x37

223 Prime Number

224 2x2x2x2x2x7

225 3x3x5x5

226 2x113

227 Prime Number

228 2x2x3x19

229 Prime Number

230 2x5x23

231 3x7x11

232 2x2x2x29

233 Prime Number

234 2x3x3x13

235 5x47

236 2x2x59

237 3x79

238 2x7x17

239 Prime Number

240 2x2x2x2x3x5

241 Prime Number

242 2x11x11

243 3x3x3x3x3

244 2x2x61

245 5x7x7

246 2x3x41

247 13x19

248 2x2x2x31

249 3x83

250 2x5x5x5

251 Prime Number

252 2x2x3x3x7

253 11x23

254 2x127

255 3x3x17

256 2x2x2x2x2x2x2x2

257 Prime Number

258 2x3x43

259 7x37

260 2x2x5x13

261 3x3x29

262 2x131

263 Prime Number

264 2x2x2x3x11

265 5x53

266 2x7x19

267 3x89

268 2x2x68

269 Prime Number

270 2x3x3x3x5

271 Prime Number

272 2x2x2x2x17

273 3x7x13

274 2x137

275 5x5x11

276 2x2x3x23

277

278 2x139

279 3x3x31

280 2x2x2x5x7

281 Prime Number

282 2x3x47

283 Prime Number

284 2x2x71

285 3x5x19

286 2x11x13

287 7x41

288 2x2x2x2x2x3x3

289 17x17

290 2x5x29

291 3x97

292 2x2x73

293 Prime Number

294 2x3x7x7

295 5x59

296 2x2x2x37

297 3x3x3x11

298 2x149

299 13x23

300 2x2x3x5x5

301 7x43

302 2x151

303 3x101

304 2x2x2x2x19

305 5x61

306 2x3x3x17

307 Prime Number

308 2x2x7x11

309 3x103

310 2x5x31

311 Prime Number

312 2x2x2x3x13

313 Prime Number

314 2x157

315 3x3x5x7

316 2x2x79

317 Prime Number

318 2x3x53.

319 11x29

320 2x2x2x2x2x2x5

321 3x107

322 2x7x23

323 17x19

324 2x2x3x3x3x3

325 5x5x13

326 2x163

327 3x109

328 2x2x2x41

329 7x47

330 2x3x5x11

331 Prime Number

332 2x2x83

333 3x3x37

334 2x167

335 5x67

336 2x2x2x2x3x7

337 Prime Number

338 2x13x13

339 3x113

340 2x2x5x17

341 11x31

342 2x3x3x19

343 7x7x7

344 2x2x2x43

345 3x5x23

346 2x173

347 Prime Number

348 2x2x3x29

349 Prime Number

350 2x5x5x7

351 3x3x3x13

352 2x2x2x2x2x11

353 Prime Number

354 2x3x59

355 5x71

356 2x2x89

357 3x7x17

358 2x179

359 Prime Number

360 2x2x2x3x3x5

361 19x19

362 2x181

363 3x11x11

364 2x2x7x13

365 5x73

366 2x3x61

367 Prime Number

368 2x2x2x2x23

369 3x3x41

370 2x5x37

371 7x53

372 2x2x3x31

373 Prime Number

374 2x11x17

375 3x5x5x5

376 2x2x2x47

377 13x29

378 2x3x3x3x7

379 Prime Number

380 2x2x5x19

381 3x127

382 2x191

383 Prime Number

384 2x2x2x2x2x2x2x3

385 5x7x11

386 2x193

387 3x3x43

388 2x2x97

389 Prime Number

390 2x3x5x13

391 17x23

392 2x2x2x7x7

393 3x131

394 2x197

395 5x79

396 2x2x3x3x11

397 Prime Number

398 2x199

399 3x7x19

400 2x2x2x2x5x5

401 Prime Number

402 2x3x67

403 13x31

404 2x2x101

405 3x3x3x3x5

406 2x7x29

407 11x39

408 2x2x2x3x17

409 Prime Number

410 2x5x41

411 3x137

412 2x2x103

413 7x59

414 2x3x3x23

415 5x83

416 2x2x2x2x2x5

417 3x139

418 2x11x19

419 Prime Number

420 2x2x3x5x7

421 Prime Number

422 2x211

423 3x3x47

424 2x2x2x53

425 5x5x17

426 2x3x71

427 7x61

428 2x2x107

429 3x11x13

430 2x5x43

431 Prime Number

432 2x2x2x2x3x3x3

433 Prime Number

434 2x7x31

435 3x5x29

436 2x2x109

437 19x23

438 2x3x73

439 Prime Number

440 2x2x2x5x11

441 3x3x7x7

442 2x13x17

443 Prime Number

444 2x2x3x37

445 5x89

446 2x223

447 3x149

448 2x2x2x2x2x2x7

449 Prime Number

450 2x3x3x5x5

451 11x41

452 2x2x113

453 3x151

454 2x227

455 5x7x13

456 2x2x2x3x19

457 Prime Number

458 2x229

459 3x3x3x17

460 2x2x5x23

461 Prime Number

462 2x3x7x11

463 Prime Number

464 2x2x2x2x29

465 3x5x31

466 2x233

467 Prime Number

468 2x2x3x3x13

469 7x67

470 2x5x47

471 3x157

472 2x2x2x59

473 11x43

474 2x3x79

475 5x5x19

476 2x2x7x17

477 3x3x53

478 2x239

479 Prime Number

480 2x2x2x2x2x3x5

481 13x37

482 2x241

483 3x7x23

484 2x2x11x11

485 5x97

486 2x3x3x3x3x3

487 Prime Number

488 2x2x2x61

489 3x163

490 2x5x7x7

491 Prime Number

492 2x2x3x41

493 17x29

494 2x13x19

495 3x3x5x11

496 2x2x2x2x31

497 7x71

498 2x3x83

499 Prime Number

500 2x2x5x5x5

501 3x167

502 2x251

503 Prime Number

504 2x2x2x3x3x7

505 5x101

506 2x11x23

507 3x13x13

508 2x2x127

509 Prime Number

510 2x3x5x17

511 7x73

512 2x2x2x2x2x2x2x2x2

513 3x3x3x19

514 2x257

515 5x103

516 2x2x3x43

517 11x47

518 2x7x37

519 3x173

520 2x2x2x5x13

521 Prime Number

522 2x3x3x29

523 Prime Number

524 2x2x131

525 3x5x5x7

526 2x263

527 17x31

528 2x2x2x2x3x11

529 23x23

530 2x5x53

531 3x3x59

532 2x2x7x19

533 13x41

534 2x3x89

535 5x107

536 2x2x2x67

537 3x179

538 2x269

539 7x7x11

540 2x2x3x3x5

541 Prime Number

542 2x271

3x181

544 2x2x2x2x2x17

545 5x109

546 2x3x7x13

547 Prime Number

548 2x2x137

549 3x3x61

550 2x5x5x11

551 19x29

552 2x2x2x3x23

553 7x79

554 2x277

555 3x5x37

556 2x2x139

557 Prime Number

558 2x3x3x31

559 Prime Number

560 2x2x2x2x5x7

561 3x11x17

562 2x281

563 Prime Number

564 2x2x3x47

565 5x113

566 2x283

567 3x3x3x3x7

568 2x2x2x71

569 Prime Number

570 2x3x5x19

571 Prime Number

572 2x2x11x13

573 3x191

574 2x7x41

575 5x5x23

576 2x2x2x2x2x2x3x3

577 Prime Number

578 2x17x17

579 3x193

580 2x2x5x29

581 7x83

582 2x3x97

583 11x53

584 2x2x2x73

585 3x3x5x13

586 2x293

587 Prime Number

588 2x2x3x7x7

589 19x31

590 2x5x59

591 3x197

592 2x2x2x2x37

593 Prime Number

594 2x3x3x3x11

595 5x7x17

596 2x2x149

597 3x199

598 2x13x23

599 Prime Number

600 2x2x2x3x5x5

601 Prime Number

602 2x7x43

603 3x3x67

604 2x2x151

605 5x11x11

606 2x3x101

607 Prime Number

608 2x2x2x2x2x19

609 3x7x29

610 2x5x61

611 13x47

612 2x2x3x3x17

613 Prime Number

614 2x307

615 3x5x41

616 2x3x3x7x11

617 Prime Number

618 2x3x103

619 Prime Number

620 2x2x5x31

621 3x3x3x23

622 2x311

623 7x89

624 2x2x2x2x3x13

625 5x5x5x5

626 2x313

627 3x11x19

628 2x2x157

629 17x37

630 2x3x3x5x7

631 Prime Number

632 2x2x2x79

633 3x211

634 2x317

635 5x127

636 2x2x3x53

637 7x7x13

638 2x11x29

639 3x3x71

640 2x2x2x2x2x2x2x5

641 Prime Number

642 2x3x107

643 Prime Number

644 2x2x7x23

645 3x5x43

646 2x17x19

647 Prime Number

648 2x2x2x3x3x3x3

649 11x59

650 2x5x5x13

651 3x7x31

652 2x2x163

653 Prime Number

654 2x3x109

655 5x131

656 2x2x2x2x41

657 3x3x73

658 2x7x47

659 Prime Number

660 2x2x3x5x11

661 Prime Number

662 2x331

663 3x13x17

664 2x2x2x83

665 5x7x19

666 2x3x3x37

667 23x29

668 2x2x167

669 3x223

670 2x5x67

671 11x61

672 2x2x2x2x2x3x7

673 Prime Number

674 2x337

675 3x3x3x5x5

676 2x2x13x13

677 Prime Number

678 2x3x113

679 7x97

680 2x2x2x5x17

681 3x227

682 2x11x31

683 Prime Number

684 2x2x3x3x19

685 5x137

686 2x7x7x7

687 3x229

688 2x2x2x2x43

689 13x53

690 2x3x5x23

691 Prime Number

692 2x2x173

693 3x3x7x11

694 2x347

695 5x139

696 2x2x2x3x29

697 17x41

698 2x349

699 3x233

700 2x2x5x5x7

701 Prime Number

702 2x3x3x3x13

703 19x37

704 2x2x2x2x2x2x11

705 3x5x47

706 2x353

707 7x101

708 2x2x3x59

709 Prime Number

710 2x5x71

711 3x3x79

712 2x2x2x89

713 23x31

714 2x3x7x17

715 5x11x13

716 2x2x179

717 3x239

718 2x359

719 Prime Number

720 2x2x2x2x3x3x5

721 7x103

722 2x19x19

723 3x241

724 2x2x181

725 5x5x29

726 2x3x11x11

727 Prime Number

728 2x2x2x7x13

729 3x3x3x3x3x3

730 2x5x73

731 17x43

732 2x2x3x61

733 Prime Number

734 2x367

735 3x5x7x7

736 2x2x2x2x2x23

737 11x67

738 2x3x3x41

739 Prime Number

740 2x2x5x37

741 3x13x19

742 2x7x53

743 Prime Number

744 2x2x2x3x31

745 5x149

746 2x373

747 3x3x87

748 2x2x11x17

749 7x107

750 2x3x5x5x5

751 Prime Number

752 2x2x2x2x47

753 3x251

754 2x13x29

755 5x151

756 2x2x3x3x3x7

757 Prime Number

758 2x239

759 3x11x23

760 2x2x2x5x19

761 Prime Number

762 2x3x127

763 7x109

764 2x2x191

765 3x3x5x17

766 2x383

767 13x59

768 2x2x2x2x2x2x2x2x3

769 Prime Number

770 2x5x7x11

771 3x257

772 2x2x193

773 Prime Number

774 2x3x3x43

775 5x5x31

776 2x2x2x97

777 3x7x37

778 2x389

779 19x41

780 2x2x3x5x13

781 11x71

782 2x17x23

783 3x3x3x29

784 2x2x2x2x7x7

785 5x157

786 2x3x131

787 Prime Number

788 2x2x197

789 3x263

790 2x5x79

791 7x113

792 2x2x2x3x3x11

793 13x61

794 2x397

795 3x5x53

796 2x2x199

797 Prime Number

798 2x3x7x19

799 17x47

800 2x2x2x2x2x5x5

801 3x3x89

802 2x401

803 11x73

804 2x2x3x67

805 5x7x23

806 2x13x31

807 3x269

808 2x2x2x101

809 Prime Number

810 2x3x3x3x3x5

811 Prime Number

812 2x2x7x29

813 3x271

814 2x11x37

815 5x163

816 2x2x2x2x3x17

817 19x43

818 2x409

819 3x3x7x13

820 2x2x5x41

821 Prime Number

822 2x3x137

823 Prime Number

824 2x2x2x103

825 3x5x5x11

826 2x7x59

827 Prime Number

828 2x2x3x3x23

829 Prime Number

830 2x5x83

831 3x277

832 2x2x2x2x2x2x13

833 7x7x17

834 2x3x139

835 5x167

836 2x2x11x19

837 3x3x3x31

838 2x419

839 Prime Number

840 2x2x2x3x5x7

841 29x29

842 2x421

843 3x281

844 2x2x211

845 5x13x13

846 2x3x3x47

847 7x11x11

848 2x2x2x2x53

849 3x283

850 2x5x5x17

851 23x37

852 2x2x3x71

853 Prime Number

854 2x7x61

855 3x3x5x19

856 2x2x2x107

857 Prime Number

858 2x3x11x13

859 Prime Number

860 2x2x5x43

861 3x7x41

862 2x431

863 Prime Number

864 2x2x2x2x2x3x3x3

865 5x173

866 2x433

867 3x17x17

868 2x2x7x31

869 11x79

870 2x3x5x29

871 13x67

872 2x2x2x109

873 3x3x97

874 2x19x23

875 5x5x5x7

876 2x2x3x73

877 Prime Number

878 2x439

879 3x293

880 2x2x2x2x5x11

881 Prime Number

882 2x3x3x7x7

883 Prime Number

884 2x2x13x17

885 3x5x59

886 2x443

887 Prime Number

888 2x2x2x3x37

889 7x127

890 2x5x89

891 3x3x3x3x11

892 2x2x223

893 19x47

894 2x3x149

895 5x179

896 2x2x2x2x2x2x2x7

897 3x13x23

898 2x449

899 29x31

900 2x2x3x3x5x5

901 17x53

902 2x11x41

903 3x7x43

904 2x2x2x113

905 5x181

906 2x3x151

907 Prime Number

908 2x2x227

909 3x3x101

910 3x5x7x13

911 Prime Number

912 2x2x2x2x3x19

913 11x83

914 2x457

915 3x5x61

916 2x2x229

917 7x131

918 2x3x3x3x17

919 Prime Number

920 2x2x2x5x23

921 3x307

922 2x461

923 13x71

924 2x2x3x7x11

925 5x5x37

926 2x463

927 3x3x103

928 2x2x2x2x2x37

929 Prime Number

930 2x3x5x31

931 7x7x19

932 2x2x233

933 3x311

934 2x467

935 5x11x17

936 2x2x2x3x3x13

937 Prime Number

938 2x7x67

939 3x313

940 2x2x5x47

941 Prime Number

942 2x3x157

943 23x41

944 2x2x2x2x59

945 3x3x3x5x7

946 2x11x43

947 Prime Number

948 2x2x3x79

949 13x73

950 2x5x5x19

951 3x317

952 2x2x2x7x17

953 Prime Number

954 2x3x3x53

955 5x191

956 2x2x239

957 3x11x29

958 2x479

959 7x137

960 2x2x2x2x2x2x3x5

961 31x31

962 2x13x37

963 3x3x107

964 2x2x241

965 5x193

966 2x3x7x23

967 Prime Number

968 2x2x2x11x11

969 3x17x19

970 2x5x97

971 Prime Number

972 2x2x3x3x3x3x3

973 7x139

974 2x487

975 3x5x5x13

976 2x2x2x2x61

977 Prime Number

978 2x3x163

979 11x89

980 2x2x5x7x7

981 3x3x109

982 2x491

983 Prime Number

984 2x2x2x3x41

985 5x197

986 2x17x29

987 3x7x47

988 2x2x13x19

989 23x43

990 2x3x3x5x11

991 Prime Number

992 2x2x2x2x2x31

993 3x331

994 2x7x71

995 5x199

996 2x2x3x83

997 Prime Number

998 2x499

999 3x3x3x37

1000 2x2x2x5x5x5

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Prime Time: Factors and Multiples (Connected Mathematics Series: Number) (Student Edition)
by Glenda Lappan, James T. Fey, William M. Fitzgerald, Susan N. Friel, Elizabeth Difanis Phillips

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Connected Mathematics Prime Time Factors and Multiples Teacher's Guide (Numbers and Operations)
by Fey, Fitzgerald, Friel, and Phillips Lappan

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Tables of the Prime Numbers, and Prime Factors of the Composite Numbers, From 1 to 100,000: With the Methods of Their Construction, and Examples of Their Use [ 1853 ]
by Edward Hinkley

$20.99
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Tasting Your Grapes of Destiny: Prime Factors to Consider
by Ifeoma R. Fiiriter

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Living by Natural Law: An Outline of a Real Synthetic Philosophy Founded Upon the Prime Factors of the Universe and the Seven Sense Organisms of the Human Body
by John Edwin Ayer

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Prime Numbers and Factors: A Visual Probe
by Paul Soares

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Connected Mathematics 2: Prime Time, Factors & Multiples Grade Six

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Prime Time: Factors and Multiple: Teacher's Guide: Connected Mathematics

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Prime Time: Factors and Multiples - Grade 6 (Connected Mathematics 2, Teacher's Guide)
by et al Glenda Lappan

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Prime Time: Factors & Multiples, Grade 6 Teacher's Guide (Connected Mathematics 2)

$15.80 new/used
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