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What is factorial? What is that operation? Factorial n means 1 * 2 * 3 * 4 * ... * n. It means that starting from n you multiply by every number that is once smaller than it to one. Then you stop. For example 5 factorial: 5! is equal to 1 * 2 * 3 * 4 * 5 = 120. So it is big number. Power of factorial is increasing enormously, and 100 is equal to 9.332621544E+157. They grow very fast. So it is very big distance from 5! and 100!. High level factorials end with zero every time, because it was multiplication by 5 and by 2.
Next factorial from previous differs in such way: n! = n * (n-1)!. So 6! = 6 * 5! = 6 * 120 = 720. 7! factorial will be 7 * 6! and so on. 0! is equivalent to 1. This is one exception. Factorials are used in combinatorics and probability theory mostly.
Examples and formulas:
2! + 3! is not equal to 5!. Using above formula 2! + 3! = ( 1 * 2! + 3 * 2!) = 2! ( 1 + 3) = 8
2! * 4! is not equal to 8!. In similar way as above 2! * 4! = ( 1 * 2! * 4 * 3 * 2!) = 2! * 2! ( 1 * 4 * 3 ) = 48
Factorials from 1 to 100
| 1 | = 1
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26 | = 4.032914611E+26
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51 | = 1.551118753E+66
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76 | = 1.885494702E+111
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| 2 | = 2
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27 | = 1.088886945E+28
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52 | = 8.065817517E+67
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77 | = 1.45183092E+113
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| 3 | = 6
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28 | = 3.048883446E+29
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53 | = 4.274883284E+69
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78 | = 1.132428118E+115
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| 4 | = 24
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29 | = 8.841761994E+30
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54 | = 2.308436973E+71
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79 | = 8.946182131E+116
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| 5 | = 120
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30 | = 2.652528598E+32
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55 | = 1.269640335E+73
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80 | = 7.156945705E+118
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| 6 | = 720
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31 | = 8.222838654E+33
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56 | = 7.109985878E+74
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81 | = 5.797126021E+120
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| 7 | = 5040
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32 | = 2.631308369E+35
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57 | = 4.05269195E+76
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82 | = 4.753643337E+122
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| 8 | = 40320
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33 | = 8.683317619E+36
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58 | = 2.350561331E+78
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83 | = 3.94552397E+124
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| 9 | = 362880
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34 | = 2.95232799E+38
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59 | = 1.386831185E+80
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84 | = 3.314240135E+126
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| 10 | = 3628800
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35 | = 1.033314797E+40
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60 | = 8.320987113E+81
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85 | = 2.817104114E+128
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| 11 | = 39916800
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36 | = 3.719933268E+41
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61 | = 5.075802139E+83
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86 | = 2.422709538E+130
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| 12 | = 479001600
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37 | = 1.376375309E+43
|
62 | = 3.146997326E+85
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87 | = 2.107757298E+132
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| 13 | = 6227020800
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38 | = 5.230226175E+44
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63 | = 1.982608315E+87
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88 | = 1.854826423E+134
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| 14 | = 8.71782912E+10
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39 | = 2.039788208E+46
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64 | = 1.268869322E+89
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89 | = 1.650795516E+136
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| 15 | = 1.307674368E+12
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40 | = 8.159152832E+47
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65 | = 8.247650592E+90
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90 | = 1.485715964E+138
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| 16 | = 2.092278989E+13
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41 | = 3.345252661E+49
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66 | = 5.443449391E+92
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91 | = 1.352001528E+140
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| 17 | = 3.556874281E+14
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42 | = 1.405006118E+51
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67 | = 3.647111092E+94
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92 | = 1.243841405E+142
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| 18 | = 6.402373706E+15
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43 | = 6.041526306E+52
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68 | = 2.480035542E+96
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93 | = 1.156772507E+144
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| 19 | = 1.216451004E+17
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44 | = 2.658271575E+54
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69 | = 1.711224524E+98
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94 | = 1.087366157E+146
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| 20 | = 2.432902008E+18
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45 | = 1.196222209E+56
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70 | = 1.197857167E+100
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95 | = 1.032997849E+148
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| 21 | = 5.109094217E+19
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46 | = 5.50262216E+57
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71 | = 8.504785886E+101
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96 | = 9.916779349E+149
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| 22 | = 1.124000728E+21
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47 | = 2.586232415E+59
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72 | = 6.123445838E+103
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97 | = 9.619275968E+151
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| 23 | = 2.585201674E+22
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48 | = 1.241391559E+61
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73 | = 4.470115462E+105
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98 | = 9.426890449E+153
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| 24 | = 6.204484017E+23
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49 | = 6.08281864E+62
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74 | = 3.307885442E+107
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99 | = 9.332621544E+155
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| 25 | = 1.551121004E+25
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50 | = 3.04140932E+64
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75 | = 2.480914081E+109
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100 | = 9.332621544E+157
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