Factors of 2,400
Answer
Factors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400
Number of factors: 36
Factor pairs: (1, 2400), (2, 1200), (3, 800), (4, 600), (5, 480), (6, 400), (8, 300), (10, 240), (12, 200), (15, 160), (16, 150), (20, 120), (24, 100), (25, 96), (30, 80), (32, 75), (40, 60), (48, 50)
Prime Factorization
2400 = 25 × 3 × 52
Properties
- This number is not prime
- This number is not a perfect square
- This is an even number
- Sum of all factors: 7,812
Check Numbers from 1 to 2,400
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374757677787980818283848586878889909192939495969798991001011021031041051061071081091101111121131141151161171181191201211221231241251261271281291301311321331341351361371381391401411421431441451461471481491501511521531541551561571581591601611621631641651661671681691701711721731741751761771781791801811821831841851861871881891901911921931941951961971981992002012022032042052062072082092102112122132142152162172182192202212222232242252262272282292302312322332342352362372382392402412422432442452462472482492502512522532542552562572582592602612622632642652662672682692702712722732742752762772782792802812822832842852862872882892902912922932942952962972982993003013023033043053063073083093103113123133143153163173183193203213223233243253263273283293303313323333343353363373383393403413423433443453463473483493503513523533543553563573583593603613623633643653663673683693703713723733743753763773783793803813823833843853863873883893903913923933943953963973983994004014024034044054064074084094104114124134144154164174184194204214224234244254264274284294304314324334344354364374384394404414424434444454464474484494504514524534544554564574584594604614624634644654664674684694704714724734744754764774784794804814824834844854864874884894904914924934944954964974984995005015025035045055065075085095105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445455465475485495505515525535545555565575585595605615625635645655665675685695705715725735745755765775785795805815825835845855865875885895905915925935945955965975985996006016026036046056066076086096106116126136146156166176186196206216226236246256266276286296306316326336346356366376386396406416426436446456466476486496506516526536546556566576586596606616626636646656666676686696706716726736746756766776786796806816826836846856866876886896906916926936946956966976986997007017027037047057067077087097107117127137147157167177187197207217227237247257267277287297307317327337347357367377387397407417427437447457467477487497507517527537547557567577587597607617627637647657667677687697707717727737747757767777787797807817827837847857867877887897907917927937947957967977987998008018028038048058068078088098108118128138148158168178188198208218228238248258268278288298308318328338348358368378388398408418428438448458468478488498508518528538548558568578588598608618628638648658668678688698708718728738748758768778788798808818828838848858868878888898908918928938948958968978988999009019029039049059069079089099109119129139149159169179189199209219229239249259269279289299309319329339349359369379389399409419429439449459469479489499509519529539549559569579589599609619629639649659669679689699709719729739749759769779789799809819829839849859869879889899909919929939949959969979989991,0001,0011,0021,0031,0041,0051,0061,0071,0081,0091,0101,0111,0121,0131,0141,0151,0161,0171,0181,0191,0201,0211,0221,0231,0241,0251,0261,0271,0281,0291,0301,0311,0321,0331,0341,0351,0361,0371,0381,0391,0401,0411,0421,0431,0441,0451,0461,0471,0481,0491,0501,0511,0521,0531,0541,0551,0561,0571,0581,0591,0601,0611,0621,0631,0641,0651,0661,0671,0681,0691,0701,0711,0721,0731,0741,0751,0761,0771,0781,0791,0801,0811,0821,0831,0841,0851,0861,0871,0881,0891,0901,0911,0921,0931,0941,0951,0961,0971,0981,0991,1001,1011,1021,1031,1041,1051,1061,1071,1081,1091,1101,1111,1121,1131,1141,1151,1161,1171,1181,1191,1201,1211,1221,1231,1241,1251,1261,1271,1281,1291,1301,1311,1321,1331,1341,1351,1361,1371,1381,1391,1401,1411,1421,1431,1441,1451,1461,1471,1481,1491,1501,1511,1521,1531,1541,1551,1561,1571,1581,1591,1601,1611,1621,1631,1641,1651,1661,1671,1681,1691,1701,1711,1721,1731,1741,1751,1761,1771,1781,1791,1801,1811,1821,1831,1841,1851,1861,1871,1881,1891,1901,1911,1921,1931,1941,1951,1961,1971,1981,1991,2001,2011,2021,2031,2041,2051,2061,2071,2081,2091,2101,2111,2121,2131,2141,2151,2161,2171,2181,2191,2201,2211,2221,2231,2241,2251,2261,2271,2281,2291,2301,2311,2321,2331,2341,2351,2361,2371,2381,2391,2401,2411,2421,2431,2441,2451,2461,2471,2481,2491,2501,2511,2521,2531,2541,2551,2561,2571,2581,2591,2601,2611,2621,2631,2641,2651,2661,2671,2681,2691,2701,2711,2721,2731,2741,2751,2761,2771,2781,2791,2801,2811,2821,2831,2841,2851,2861,2871,2881,2891,2901,2911,2921,2931,2941,2951,2961,2971,2981,2991,3001,3011,3021,3031,3041,3051,3061,3071,3081,3091,3101,3111,3121,3131,3141,3151,3161,3171,3181,3191,3201,3211,3221,3231,3241,3251,3261,3271,3281,3291,3301,3311,3321,3331,3341,3351,3361,3371,3381,3391,3401,3411,3421,3431,3441,3451,3461,3471,3481,3491,3501,3511,3521,3531,3541,3551,3561,3571,3581,3591,3601,3611,3621,3631,3641,3651,3661,3671,3681,3691,3701,3711,3721,3731,3741,3751,3761,3771,3781,3791,3801,3811,3821,3831,3841,3851,3861,3871,3881,3891,3901,3911,3921,3931,3941,3951,3961,3971,3981,3991,4001,4011,4021,4031,4041,4051,4061,4071,4081,4091,4101,4111,4121,4131,4141,4151,4161,4171,4181,4191,4201,4211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Understanding the Factors of 2,400
When we look at the number 2,400, we find that it has 36 factors in total. These are the numbers that divide evenly into 2,400 with no remainder.
This number is composite, meaning it has more than two factors. It can be written as the product of its prime factors: 25 × 3 × 52.
Factor Pairs
The factors of 2,400 can be arranged in pairs: (1, 2400), (2, 1200), (3, 800), (4, 600), (5, 480), (6, 400), (8, 300), (10, 240), (12, 200), (15, 160), (16, 150), (20, 120), (24, 100), (25, 96), (30, 80), (32, 75), (40, 60), (48, 50). Each pair multiplies to give 2,400.