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 |

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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