What is 100 Factorial – What is the Factorial of Hundred

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 ?

Table of Contents

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 ?

100 factorial

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.

what is factorial of hundred

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.

What is a Factorial of Hundred

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 ?

factorial of hundred

 

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
The factorial of 100 has 158 points and consists of 24 zero. The approximate value of the factorial of the hundred is 9.3326215443944e+157.

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

 FAQ – what is a factorial of hundred

What is a factorial?

Ans –  A factorial is a mathematical operation that calculates the product of all positive integers from 1 to a given number. It is denoted by the exclamation mark (!) after the number.

How is factorial calculated?

Ans – To calculate the factorial of a number, you simply multiply all the positive integers from 1 to that number together. For example, the factorial of 5 (written as 5!) is calculated as 5 x 4 x 3 x 2 x 1 = 120.

What is the factorial of zero?

Ans – The factorial of zero (0!) is defined as 1. This is a special case, as there are no positive integers to multiply together. By convention, the result is considered to be 1.

What is the largest factorial that can be calculated?

Ans – The largest factorial that can be calculated depends on the computing system being used. Traditional computing systems have limitations due to the size of integers they can handle. For example, many programming languages have a maximum limit for the value of an integer. Once the factorial exceeds this limit, it may result in an overflow error. However, with the use of libraries or specialized algorithms, it is possible to calculate factorials of much larger numbers.

What are some applications of factorials?

Ans – Factorials have various applications in mathematics, statistics, and computer science. Here are a few examples:

1. Combinatorics: Factorials are used to calculate the number of permutations and combinations in a given scenario. For example, in a lottery, the number of possible combinations can be calculated using factorials.

2. Probability: Factorials are used to calculate the number of favorable outcomes in a probability experiment. They are often used in permutation and combination formulas to determine the probability of certain events.

3. Series expansion: Factorials appear in series expansions of various mathematical functions, such as the exponential function and trigonometric functions.

4. Recursive algorithms: Factorials can be used in recursive algorithms, where a function calls itself repeatedly to solve a problem. Factorials are often used in recursive algorithms to solve problems related to permutations and combinations.

How can factorials be calculated efficiently?

Ans – For small numbers, factorials can be calculated directly by multiplying the positive integers together. However, for larger numbers, this approach becomes inefficient. To calculate factorials efficiently, techniques like memoization, dynamic programming, or using specialized algorithms can be employed. These techniques help reduce redundant calculations and optimize the factorial calculation process.

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 – What is 100 Factorial

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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