 # 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 ?

### 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.

## 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 ? 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)

Ans- 2

Ans- 6

Ans- 24

Ans- 120

Ans- 720

Ans- 5040

Ans- 40320

Ans- 362880

Ans- 3628800

Ans- 39916800

Ans- 479001600

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,