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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.

nPrime
Factors
112Prime Number3Prime Number42x25Prime Number62x37Prime Number82x2x293x3102x511Prime Number122x2x313Prime Number142x7153x5162x2x2x217Prime Number182x3x319Prime Number202x2x5213x7222x1123Prime Number242x2x2x3255x5262x13273x3x3282x2x729Prime Number302x3x531Prime Number322x2x2x2x2333x11342x17355x7362x2x3x337Prime Number382x19393x13402x2x2x541Prime Number422x3x743Prime Number442x2x11453x3x5462x2347Prime Number482x2x2x2x3497x7502x5x5513 x 17522x3x1353Prime Number542x3x3x3555x11562x2x2x7573x19582x2959Prime Number602x2x3x561Prime Number622x31633x3x7642x2x2x2x2x2655x13662x3x1167Prime Number682x3x11693x23702x5x771Prime Number722x2x2x3x373Prime Number742x37753x5x5762x2x19777x11782x3x1379Prime Number802x2x2x2x5813x3x3x3822x4183Prime Number842x2x3x7855x17862x43873x29882x2x2x1189Prime Number902x3x3x5917x13922x2x23933x31942x479555x19962x2x2x2x2x397Prime Number982x7x7993x3x111002x2x5x5

101Prime Number1022x3x17103Prime Number1042x2x2x131053x5x71062x53107Prime Number1082x2x3x3x3109Prime Number1102x5x111113x371122x2x2x2x7113Prime Number1142x3x191155x231162x2x291173x3x131182x591197x171202x2x2x3x512111x111222x611233x411242x2x311255x5x51262x3x3x7127Prime Number1282x2x2x2x2x2x21293x431302x5x13131Prime Number1322x2x3x111337x191342x671353x3x3x51362x2x2x17137Prime Number1382x3x23139Prime Number1402x2x5x71413x471422x7114311x131442x2x2x2x3x31455x291462x731473x7x71482x2x37149Prime Number1502x3x5x5151Prime Number1522x2x2x191533x3x171542x7x111555x311562x2x3x13157Prime Number1582x791593x531602x2x2x2x2x51617x231622x3x3x3x3163Prime Number1642x2x411653x5x111662x83167Prime Number1682x2x2x3x716913x131702x5x171713x3x191722x2x43173Prime Number1742x3x291755x5x71762x2x2x2x111773x591782x89179Prime Number1802x2x3x3x5181Prime Number1822x7x131833x611842x2x2x231855x371862x3x3118711x171882x2x471893x3x3x71902x5x19191Prime Number1922x2x2x2x2x2x3193Prime Number1942x971953x5x131962x2x7x7197Prime Number1982x3x3x11199Prime Number2002x2x2x3x3x5

2013x672022x1012037x292042x2x3x172055x412062x1032073x3x232082x2x2x2x1320911x192102x3x5x7211Prime Number2122x2x532133x712142x1072155x432162x2x2x3x3x32177x312182x1092193x732202x2x5x1122113x172222x3x37223Prime Number2242x2x2x2x2x72253x3x5x52262x113227Prime Number2282x2x3x19229Prime Number2302x5x232313x7x112322x2x2x29233Prime Number2342x3x3x132355x472362x2x592373x792382x7x17239Prime Number2402x2x2x2x3x5241Prime Number2422x11x112433x3x3x3x32442x2x612455x7x72462x3x4124713x192482x2x2x312493x832502x5x5x5251Prime Number2522x2x3x3x725311x232542x1272553x3x172562x2x2x2x2x2x2x2257Prime Number2582x3x432597x372602x2x5x132613x3x292622x131263Prime Number2642x2x2x3x112655x532662x7x192673x892682x2x68269Prime Number2702x3x3x3x5271Prime Number2722x2x2x2x172733x7x132742x1372755x5x112762x2x3x232772782x1392793x3x312802x2x2x5x7281Prime Number2822x3x47283Prime Number2842x2x712853x5x19 2862x11x132877x412882x2x2x2x2x3x328917x172902x5x292913x972922x2x73293Prime Number2942x3x7x72955x592962x2x2x372973x3x3x112982x14929913x233002x2x3x5x5

3017x433022x1513033x1013042x2x2x2x193055x613062x3x3x17307Prime Number3082x2x7x113093x1033102x5x31311Prime Number3122x2x2x3x13313Prime Number3142x1573153x3x5x73162x2x79317Prime Number3182x3x53.

31911x293202x2x2x2x2x2x53213x1073222x7x2332317x193242x2x3x3x3x33255x5x133262x1633273x1093282x2x2x413297x473302x3x5x11331Prime Number3322x2x833333x3x373342x1673355x673362x2x2x2x3x7337Prime Number3382x13x133393x1133402x2x5x1734111x313422x3x3x193437x7x73442x2x2x433453x5x233462x173347Prime Number3482x2x3x29349Prime Number3502x5x5x73513x3x3x133522x2x2x2x2x11353Prime Number3542x3x593555x713562x2x893573x7x173582x179359Prime Number3602x2x2x3x3x536119x193622x1813633x11x113642x2x7x133655x733662x3x61367Prime Number3682x2x2x2x233693x3x413702x5x373717x533722x2x3x31373Prime Number3742x11x173753x5x5x53762x2x2x4737713x293782x3x3x3x7379Prime Number3802x2x5x193813x1273822x191383Prime Number3842x2x2x2x2x2x2x33855x7x113862x1933873x3x433882x2x97389Prime Number3902x3x5x1339117x23 3922x2x2x7x73933x1313942x1973955x793962x2x3x3x11397Prime Number3982x1993993x7x194002x2x2x2x5x5

401Prime Number4022x3x6740313x314042x2x1014053x3x3x3x54062x7x2940711x374082x2x2x3x17409Prime Number4102x5x414113x1374122x2x1034137x594142x3x3x234155x834162x2x2x2x2x54173x1394182x11x19419Prime Number4202x2x3x5x7421Prime Number4222x2114233x3x474242x2x2x534255x5x174262x3x714277x614282x2x1074293x11x134302x5x43431Prime Number4322x2x2x2x3x3x3433Prime Number4342x7x314353x5x294362x2x10943719x234382x3x73439Prime Number4402x2x2x5x114413x3x7x74422x13x17443Prime Number4442x2x3x374455x894462x2234473x1494482x2x2x2x2x2x7449Prime Number4502x3x3x5x545111x414522x2x1134533x1514542x2274555x7x134562x2x2x3x19457Prime Number4582x2294593x3x3x174602x2x5x23461Prime Number4622x3x7x11463Prime Number4642x2x2x2x294653x5x314662x233467Prime Number4682x2x3x3x134697x674702x5x474713x1574722x2x2x5947311x434742x3x794755x5x194762x2x7x174773x3x534782x239479Prime Number4802x2x2x2x2x3x548113x374822x2414833x7x234842x2x11x114855x974862x3x3x3x3x3487Prime Number4882x2x2x614893x1634902x5x7x7491Prime Number4922x2x3x4149317x294942x13x194953x3x5x114962x2x2x2x314977x714982x3x83499Prime Number5002x2x5x5x5

5013x1675022x251503Prime Number5042x2x2x3x3x75055x1015062x11x235073x13x135082x2x127509Prime Number5102x3x5x175117x735122x2x2x2x2x2x2x2x25133x3x3x195142x2575155x1035162x2x3x4351711x475182x7x375193x1735202x2x2x5x13521Prime Number5222x3x3x29523Prime Number5242x2x1315253x5x5x75262x26352717x315282x2x2x2x3x1152923x235302x5x535313x3x595322x2x7x1953313x415342x3x895355x1075362x2x2x675373x1795382x2695397x7x115402x2x3x3x5541Prime Number5422x2715433x1815442x2x2x2x2x175455x1095462x3x7x13547Prime Number5482x2x1375493x3x615502x5x5x1155119x295522x2x2x3x235537x795542x2775553x5x375562x2x139557Prime Number5582x3x3x31559Prime Number5602x2x2x2x5x75613x11x175622x281563Prime Number5642x2x3x475655x1135662x2835673x3x3x3x75682x2x2x71569Prime Number5702x3x5x19571Prime Number5722x2x11x135733x1915742x7x415755x5x235762x2x2x2x2x2x3x3577Prime Number5782x17x175793x1935802x2x5x295817x835822x3x9758311x535842x2x2x735853x3x5x135862x293587Prime Number5882x2x3x7x758919x315902x5x595913x1975922x2x2x2x37593Prime Number5942x3x3x3x115955x7x175962x2x1495973x1995982x13x23599Prime Number6002x2x2x3x5x5

601Prime Number6022x7x436033x3x676042x2x1516055x11x116062x3x101607Prime Number6082x2x2x2x2x196093x7x296102x5x6161113x476122x2x3x3x17613Prime Number6142x3076153x5x416162x3x3x7x11617Prime Number6182x3x103619Prime Number6202x2x5x316213x3x3x236222x3116237x896242x2x2x2x3x136255x5x5x56262x3136273x11x196282x2x15762917x376302x3x3x5x7631Prime Number6322x2x2x796333x2116342x3176355x1276362x2x3x536377x7x136382x11x296393x3x716402x2x2x2x2x2x2x5641Prime Number6422x3x107643Prime Number6442x2x7x236453x5x436462x17x19647Prime Number6482x2x2x3x3x3x364911x596502x5x5x136513x7x316522x2x163653Prime Number6542x3x1096555x1316562x2x2x2x416573x3x736582x7x47659Prime Number6602x2x3x5x11661Prime Number6622x3316633x13x176642x2x2x836655x7x196662x3x3x3766723x296682x2x1676693x2236702x5x6767111x616722x2x2x2x2x3x7673Prime Number6742x3376753x3x3x5x56762x2x13x13677Prime Number6782x3x1136797x976802x2x2x5x176813x2276822x11x31683Prime Number6842x2x3x3x196855x1376862x7x7x76873x2296882x2x2x2x4368913x536902x3x5x23691Prime Number6922x2x1736933x3x7x116942x3476955x1396962x2x2x3x2969717x416982x3496993x2337002x2x5x5x7

701Prime Number7022x3x3x3x1370319x377042x2x2x2x2x2x117053x5x477062x3537077x1017082x2x3x59709Prime Number7102x5x717113x3x797122x2x2x8971323x317142x3x7x177155x11x137162x2x1797173x2397182x359719Prime Number7202x2x2x2x3x3x57217x1037222x19x197233x2417242x2x1817255x5x297262x3x11x11727Prime Number7282x2x2x7x137293x3x3x3x3x37302x5x7373117x437322x2x3x61733Prime Number7342x3677353x5x7x77362x2x2x2x2x2373711x677382x3x3x41739Prime Number7402x2x5x377413x13x197422x7x53743Prime Number7442x2x2x3x317455x1497462x3737473x3x877482x2x11x177497x1077502x3x5x5x5751Prime Number7522x2x2x2x477533x2517542x13x297555x1517562x2x3x3x3x7757Prime Number7582x2397593x11x237602x2x2x5x19761Prime Number7622x3x1277637x1097642x2x1917653x3x5x177662x38376713x597682x2x2x2x2x2x2x2x3769Prime Number7702x5x7x117713x2577722x2x193773Prime Number7742x3x3x437755x5x317762x2x2x977773x7x377782x38977919x417802x2x3x5x1378111x717822x17x237833x3x3x297842x2x2x2x7x77855x1577862x3x131787Prime Number7882x2x1977893x2637902x5x797917x1137922x2x2x3x3x1179313x617942x3977953x5x537962x2x199797Prime Number7982x3x7x1979917x478002x2x2x2x2x5x5

8013x3x898022x40180311x738042x2x3x678055x7x238062x13x318073x2698082x2x2x101809Prime Number8102x3x3x3x3x5811Prime Number8122x2x7x298133x2718142x11x378155x1638162x2x2x2x3x1781719x438182x4098193x3x7x138202x2x5x41821Prime Number8222x3x137823Prime Number8242x2x2x1038253x5x5x118262x7x59827Prime Number8282x2x3x3x23829Prime Number8302x5x838313x2778322x2x2x2x2x2x138337x7x178342x3x1398355x1678362x2x11x198373x3x3x318382x419839Prime Number8402x2x2x3x5x784129x298422x4218433x2818442x2x2118455x13x138462x3x3x478477x11x118482x2x2x2x538493x2838502x5x5x1785123x378522x2x3x71853Prime Number8542x7x618553x3x5x198562x2x2x107857Prime Number8582x3x11x13859Prime Number8602x2x5x438613x7x418622x431863Prime Number8642x2x2x2x2x3x3x38655x1738662x4338673x17x178682x2x7x3186911x798702x3x5x2987113x678722x2x2x1098733x3x978742x19x238755x5x5x78762x2x3x73877Prime Number8782x4398793x2938802x2x2x2x5x11881Prime Number8822x3x3x7x7883Prime Number8842x2x13x178853x5x598862x443887Prime Number8882x2x2x3x378897x1278902x5x898913x3x3x3x118922x2x22389319x478942x3x1498955x1798962x2x2x2x2x2x2x78973x13x238982x44989929x319002x2x3x3x5x5

90117x539022x11x419033x7x439042x2x2x1139055x1819062x3x151907Prime Number9082x2x2279093x3x1019103x5x7x13911Prime Number9122x2x2x2x3x1991311x839142x4579153x5x619162x2x2299177x1319182x3x3x3x17919Prime Number9202x2x2x5x239213x3079222x46192313x719242x2x3x7x119255x5x379262x4639273x3x1039282x2x2x2x2x37929Prime Number9302x3x5x319317x7x199322x2x2339333x3119342x4679355x11x179362x2x2x3x3x13937Prime Number9382x7x679393x3139402x2x5x47941Prime Number9422x3x15794323x419442x2x2x2x599453x3x3x5x79462x11x43947Prime Number9482x2x3x7994913x739502x5x5x199513x3179522x2x2x7x17953Prime Number9542x3x3x539555x1919562x2x2399573x11x299582x4799597x1379602x2x2x2x2x2x3x596131x319622x13x379633x3x1079642x2x2419655x1939662x3x7x23967Prime Number9682x2x2x11x119693x17x199702x5x97971Prime Number9722x2x3x3x3x3x39737x1399742x4879753x5x5x139762x2x2x2x61977Prime Number9782x3x16397911x899802x2x5x7x79813x3x1099822x491983Prime Number9842x2x2x3x419855x1979862x17x299873x7x479882x2x13x1998923x439902x3x3x5x11991Prime Number9922x2x2x2x2x319933x3319942x7x719955x1999962x2x3x83997Prime Number9982x4999993x3x3x3710002x2x2x5x5x5

You are here: Home The Database of Number Correlations
The Main Number Sections:
0 - 500 | 501 - 1000 | 1001 - 1500 | 1501 - 2000 | 2001 - 2500
Number Articles | Higher Numbers | Random Number