Hello friends, in today’s article we will tell you about ‘what is 100 factorial’. Before knowing 100 factorial, you should know what is factorial? Many students have problem with factorial digit and they do not understand what is factorial? In this article we will tell you about factorial. With this, you can easily find the factorial of any digit and solve the problem. So let’s know what is factorial-
What is 100 factorial ?
The factorial of a number is the function that multiplies the number by every natural number below it. Factorial digit is denoted by ‘n’. Factorial can be represented symbolically as ( ! ). In simple language, the result that comes after multiplying a number by all the whole numbers below it is called Factorial Number. Below you have been given all the information to find the factorial and all the factorials from 1 to 100 have been given.
What is the Factorial Formula ?
Finding the factorial is very easy. For this you should know about its formula. Without formula you cannot find factorial. Below you have been given the formula of factorial-
n! = n x (n – 1) x (n – 2) x (n – 3) … 3 x 2 x 1
With this formula you can extract the factorial. For example, if you want to find the factorial of 5, the formula would work like this:
5! = 5 x (5 – 1) x (5 – 2) x (5 – 3) x (5 – 4)
5! = 5 x 4 x 3 x 2 x 1
5! = 120
like this you find factorial of 10
10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
10! = 3628800
In this way you can find the factorial of any number.
What is Factorial?
Combinations and permutations are frequently evaluated using factorials in mathematics. With reference to factorial seven, the following example can be used to understand how a factorial is written.
One can write factorial 7 as 7!
To apply –
7! =12×3×4×5×6×7
Another example can be for factorial of 4, which is given below :
4! = 1×2×3×4 = 24
Therefore, these examples will help you better understand the concept of factorial functions. Factorial zero can be explained as being equivalent to one.
Uses of factorial
Factorial means in how many ways we can see or write the combination of a number. For example, you can take three coin. If you toss three coin in one time, then in how many ways can we see these coins-
3! = 3×2×1 = 6
HTH, HTT, HHT, THT, TTH, THH
In this way you can find the result of any game.
Factorial of 100- Applications of Factorial
Permutations were first counted using the factorial function: there are n! Series of n different objects can be arranged in different ways. Combinatorial formulas use factorials more frequently to account for different object orderings. Factorials can be used to calculate binomial coefficients, for example, which count combinations of k elements in a collection of n elements.
The Stirling numbers of the first kind are multiplied by the factorials, and the permutations of n are grouped by their cycles. The number of derangements of n items will equal the nearest integer to n in combinatorial applications, where derangements are permutations that don’t leave any elements in their original locations. / e.
As a result of the binomial theorem, powers of sums are expanded using binomial coefficients. Newton’s identities for symmetric polynomials, for example, are also based on coefficients. As finite symmetric groups contain factorials, they can be used algebraically to count permutations.
The factoring of higher derivatives is described in Faà di Bruno’s formula for chaining higher derivatives. In mathematical analysis, factoring frequently appears in the denominators of power series, most notably in exponential series.
100 Factorial Tables Chart and Calculator
Below you are given factorials from 1 to 100. By looking at which you can solve the question-
| n – n! |
| 1! = 1 |
| 2! = 2 |
| 3! = 6 |
| 4! = 24 |
| 5! = 120 |
| 6! = 720 |
| 7! = 5040 |
| 8! = 40320 |
| 9! = 362880 |
| 10! = 3628800 |
| 11! = 39916800 |
| 12! = 479001600 |
| 13! = 6227020800 |
| 14! = 87178291200 |
| 15! = 1307674368000 |
| 16! = 20922789888000 |
| 17! = 355687428096000 |
| 18! = 6402373705728000 |
| 19! = 121645100408832000 |
| 20! = 2432902008176640000 |
| 21! = 51090942171709440000 |
| 22! = 1124000727777607680000 |
| 23! = 25852016738884976640000 |
| 24! = 620448401733239439360000 |
| 25! = 15511210043330985984000000 |
| 26! = 403291461126605635584000000 |
| 27! = 10888869450418352160768000000 |
| 28! = 304888344611713860501504000000 |
| 29! = 8841761993739701954543616000000 |
| 30! = 265252859812191058636308480000000 |
| 31! = 8222838654177922817725562880000000 |
| 32! = 263130836933693530167218012160000000 |
| 33! =8683317618811886495518194401280000000 |
| 34! = 295232799039604140847618609643520000000 |
| 35! = 10333147966386144929666651337523200000000 |
| 36! = 371993326789901217467999448150835200000000 |
| 37! = 13763753091226345046315979581580902400000000 |
| 38! = 523022617466601111760007224100074291200000000 |
| 39! = 20397882081197443358640281739902897356800000000 |
| 40! = 815915283247897734345611269596115894272000000000 |
| 41! = 33452526613163807108170062053440751665152000000000 |
| 42! = 1405006117752879898543142606244511569936384000000000 |
| 43! = 60415263063373835637355132068513997507264512000000000 |
| 44! = 2658271574788448768043625811014615890319638528000000000 |
| 45! = 119622220865480194561963161495657715064383733760000000000 |
| 46! = 5502622159812088949850305428800254892961651752960000000000 |
| 47! = 258623241511168180642964355153611979969197632389120000000000 |
| 48! = 12413915592536072670862289047373375038521486354677760000000000 |
| 49! = 608281864034267560872252163321295376887552831379210240000000000 |
| 50! = 30414093201713378043612608166064768844377641568960512000000000000 |
| 51! = 1551118753287382280224243016469303211063259720016986112000000000000 |
| 52! = 80658175170943878571660636856403766975289505440883277824000000000000 |
| 53! = 4274883284060025564298013753389399649690343788366813724672000000000000 |
| 54! = 230843697339241380472092742683027581083278564571807941132288000000000000 |
| 55! = 12696403353658275925965100847566516959580321051449436762275840000000000000 |
| 56! = 710998587804863451854045647463724949736497978881168458687447040000000000000 |
| 57! = 40526919504877216755680601905432322134980384796226602145184481280000000000000 |
| 58! = 2350561331282878571829474910515074683828862318181142924420699914240000000000000 |
| 59! = 138683118545689835737939019720389406345902876772687432540821294940160000000000000 |
| 60! = 8320987112741390144276341183223364380754172606361245952449277696409600000000000000 |
| 61! = 507580213877224798800856812176625227226004528988036003099405939480985600000000000000 |
| 62! = 31469973260387937525653122354950764088012280797258232192163168247821107200000000000000 |
| 63! = 1982608315404440064116146708361898137544773690227268628106279599612729753600000000000000 |
| 64! = 126886932185884164103433389335161480802865516174545192198801894375214704230400000000000000 |
| 65! = 8247650592082470666723170306785496252186258551345437492922123134388955774976000000000000000 |
| 66! = 544344939077443064003729240247842752644293064388798874532860126869671081148416000000000000000 |
| 67! = 36471110918188685288249859096605464427167635314049524593701628500267962436943872000000000000000 |
| 68! = 2480035542436830599600990418569171581047399201355367672371710738018221445712183296000000000000000 |
| 69! = 171122452428141311372468338881272839092270544893520369393648040923257279754140647424000000000000000 |
| 70! = 11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000 |
| 71! =850478588567862317521167644239926010288584608120796235886430763388588680378079017697280000000000000000 |
| 72! =61234458376886086861524070385274672740778091784697328983823014963978384987221689274204160000000000000000 |
| 73! =4470115461512684340891257138125051110076800700282905015819080092370422104067183317016903680000000000000000 |
| 74! =330788544151938641225953028221253782145683251820934971170611926835411235700971565459250872320000000000000000 |
| 75! =24809140811395398091946477116594033660926243886570122837795894512655842677572867409443815424000000000000000000 |
| 76! =1885494701666050254987932260861146558230394535379329335672487982961844043495537923117729972224000000000000000000 |
| 77! =145183092028285869634070784086308284983740379224208358846781574688061991349156420080065207861248000000000000000000 |
| 78! = 11324281178206297831457521158732046228731749579488251990048962825668835325234200766245086213177344000000000000000000 |
| 79! = 894618213078297528685144171539831652069808216779571907213868063227837990693501860533361810841010176000000000000000000 |
| 80! =71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000 |
| 81! =5797126020747367985879734231578109105412357244731625958745865049716390179693892056256184534249745940480000000000000000000 |
| 82! =475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000 |
| 83! =39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000 |
| 84! = 3314240134565353266999387579130131288000666286242049487118846032383059131291716864129885722968716753156177920000000000000000000 |
| 85! = 281710411438055027694947944226061159480056634330574206405101912752560026159795933451040286452340924018275123200000000000000000000 |
| 86! = 24227095383672732381765523203441259715284870552429381750838764496720162249742450276789464634901319465571660595200000000000000000000 |
| 87! = 2107757298379527717213600518699389595229783738061356212322972511214654115727593174080683423236414793504734471782400000000000000000000 |
| 88! = 185482642257398439114796845645546284380220968949399346684421580986889562184028199319100141244804501828416633516851200000000000000000000 |
| 89! = 16507955160908461081216919262453619309839666236496541854913520707833171034378509739399912570787600662729080382999756800000000000000000000 |
| 90! = 1485715964481761497309522733620825737885569961284688766942216863704985393094065876545992131370884059645617234469978112000000000000000000000 |
| 91! = 135200152767840296255166568759495142147586866476906677791741734597153670771559994765685283954750449427751168336768008192000000000000000000000 |
| 92! = 12438414054641307255475324325873553077577991715875414356840239582938137710983519518443046123837041347353107486982656753664000000000000000000000 |
| 93! = 1156772507081641574759205162306240436214753229576413535186142281213246807121467315215203289516844845303838996289387078090752000000000000000000000 |
| 94! = 108736615665674308027365285256786601004186803580182872307497374434045199869417927630229109214583415458560865651202385340530688000000000000000000000 |
| 95! = 10329978488239059262599702099394727095397746340117372869212250571234293987594703124871765375385424468563282236864226607350415360000000000000000000000 |
| 96! = 991677934870949689209571401541893801158183648651267795444376054838492222809091499987689476037000748982075094738965754305639874560000000000000000000000 |
| 97! = 96192759682482119853328425949563698712343813919172976158104477319333745612481875498805879175589072651261284189679678167647067832320000000000000000000000 |
| 98! = 9426890448883247745626185743057242473809693764078951663494238777294707070023223798882976159207729119823605850588608460429412647567360000000000000000000000 |
| 99! =933262154439441526816992388562667004907159682643816214685929638952175999932299156089414639761565182862536979208272237582511852109168640000000000000000000000 |
| 100! = 9.33262154439441e+157 |
What is Factorial of 0 ?
Looking at zero, you would think that the factorial of zero would be zero. but it’s not like that. The factorial of zero is 1.Many students get their question wrong in this puzzle. So you remember it.
What is Factorial of 100 ?
If you want to find the factorial of 100, then you can find the factorial in the way below-
n! = n × (n – 1) × (n – 2) × (n – 3) × … … × 1
100! = 100 × (100 – 1) × (100 – 2) × (100 – 3) × … … × 1
100! = 100 × 99 × 98 × 97 × … … × 1
| 100!=93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000 |
On Google you will also find many tricks to find factorial of 100, so that you can find factorial of 100.
Factorial of Negative Numbers
The factorial of a negative number always comes to Undefined. It had no value.
(- 1)! = 0! / 0 = 1 / 0 = Undefined
Factorial FAQ
1. What is the factorial
Ans- The factorial of a number is the function that multiplies the number by every natural number below it.
2. What is the formula for finding factorial?
Ans- n! = n x (n – 1) x (n – 2) x (n – 3)
3. What is the factorial of 2 ?
Ans- 2
4. What is the factorial of 3 ?
Ans- 6
5. What is the factorial of 4 ?
Ans- 24
6. What is the factorial of 5 ?
Ans- 120
7. What is the factorial of 6 ?
Ans- 720
8. What is the factorial of 7 ?
Ans- 5040
9. What is the factorial of 8 ?
Ans- 40320
10. What is the factorial of 9 ?
Ans- 362880
11. What is the factorial of 10 ?
Ans- 3628800
12. What is the factorial of 11 ?
Ans- 39916800
13. What is the factorial of 12 ?
Ans- 479001600
14. What is the factorial of 13 ?
Ans- 6227020800
15. What is the factorial of 14 ?
Ans- 87178291200
16. What is the factorial of 15 ?
Ans- 1307674368000
17. What is the factorial of 16 ?
Ans- 20922789888000
18. What is the factorial of 17 ?
Ans- 355687428096000
19. What is the factorial of 18 ?
Ans- 6402373705728000
20. What is the factorial of 19 ?
Ans- 121645100408832000
21. What is the factorial of 20 ?
Ans- 2432902008176640000
22. What is the factorial of 21 ?
Ans- 51090942171709440000
23. What is the factorial of 22 ?
Ans- 1124000727777607680000
24. What is the factorial of 23 ?
Ans- 25852016738884976640000
25. What is the factorial of 24 ?
Ans- 620448401733239439360000
26. What is the factorial of 25 ?
Ans- 15511210043330985984000000
27. What is the factorial of 26 ?
Ans- 403291461126605635584000000
28. What is the factorial of 27 ?
Ans- 10888869450418352160768000000
29. What is the factorial of 28 ?
Ans- 304888344611713860501504000000
30. What is the factorial of 29 ?
Ans- 8841761993739701954543616000000
31. What is the factorial of 30 ?
Ans- 265252859812191058636308480000000
32. What is the factorial of 31 ?
Ans- 8222838654177922817725562880000000
33. What is the factorial of 32 ?
Ans- 263130836933693530167218012160000000
34. What is the factorial of 33 ?
| Ans- 8683317618811886495518194401280000000 |
35. What is the factorial of 34 ?
| Ans- 295232799039604140847618609643520000000 |
36. What is the factorial of 35 ?
| Ans- 10333147966386144929666651337523200000000 |
37. What is the factorial of 36 ?
| Ans- 371993326789901217467999448150835200000000 |
38. What is the factorial of 37 ?
| Ans- 13763753091226345046315979581580902400000000 |
39. What is the factorial of 38 ?
| Ans- 523022617466601111760007224100074291200000000 |
40. What is the factorial of 39 ?
| Ans- 20397882081197443358640281739902897356800000000 |
41. What is the factorial of 40 ?
| Ans- 815915283247897734345611269596115894272000000000 |
42. What is the factorial of 41 ?
| Ans- 33452526613163807108170062053440751665152000000000 |
43. What is the factorial of 42 ?
| Ans- 1405006117752879898543142606244511569936384000000000 |
44. What is the factorial of 43 ?
| Ans- 60415263063373835637355132068513997507264512000000000 |
45. What is the factorial of 44 ?
| Ans- 2658271574788448768043625811014615890319638528000000000 |
46. What is the factorial of 45 ?
| Ans- 119622220865480194561963161495657715064383733760000000000 |
47. What is the factorial of 46 ?
| Ans- 5502622159812088949850305428800254892961651752960000000000 |
48. What is the factorial of 47 ?
| Ans- 258623241511168180642964355153611979969197632389120000000000 |
49. What is the factorial of 48 ?
| Ans- 12413915592536072670862289047373375038521486354677760000000000 |
50. What is the factorial of 49 ?
| Ans- 608281864034267560872252163321295376887552831379210240000000000 |
51. What is the factorial of 50 ?
| Ans- 30414093201713378043612608166064768844377641568960512000000000000 |
Conclusion
Finding the factorial is very easy. From this article you must have understood how to find factorial. You just need to memorize the formula.
Apart from the formula, you also need to know the factorial of zero. If you have any doubt related to this article then you can ask in comment,
your doubt will be cleared.
If you like this article, then do share it with your friends so that they can also learn to find factorials.
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