# Factorials

## The product of all positive integers

The factorial of a positive integer n is the product of all the positive integers less than or equal to n.

n! = 1 * 2 * 3 * .... * n                              (1)

Factorial 0 is defined

0! = 1                                   (2)

### Factorials for Integers ranging from 1 to 100

nn!
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 51090942171709400000
22 1124000727777610000000
23 25852016738885000000000
24 620448401733240000000000
25 15511210043331000000000000
26 403291461126606000000000000
27 10888869450418400000000000000
28 304888344611714000000000000000
29 8841761993739700000000000000000
30 265252859812191000000000000000000
31 8222838654177920000000000000000000
32 263130836933694000000000000000000000
33 8683317618811890000000000000000000000
34 295232799039604000000000000000000000000
35 10333147966386100000000000000000000000000
36 371993326789901000000000000000000000000000
37 13763753091226300000000000000000000000000000
38 523022617466601000000000000000000000000000000
39 20397882081197400000000000000000000000000000000
40 815915283247898000000000000000000000000000000000
41 33452526613163800000000000000000000000000000000000
42 1405006117752880000000000000000000000000000000000000
43 60415263063373800000000000000000000000000000000000000
44 2658271574788450000000000000000000000000000000000000000
45 119622220865480000000000000000000000000000000000000000000
46 5502622159812090000000000000000000000000000000000000000000
47 258623241511168000000000000000000000000000000000000000000000
48 12413915592536100000000000000000000000000000000000000000000000
49 608281864034268000000000000000000000000000000000000000000000000
50 30414093201713400000000000000000000000000000000000000000000000000
51 1551118753287380000000000000000000000000000000000000000000000000000
52 80658175170943900000000000000000000000000000000000000000000000000000
53 4274883284060020000000000000000000000000000000000000000000000000000000
54 230843697339241000000000000000000000000000000000000000000000000000000000
55 12696403353658300000000000000000000000000000000000000000000000000000000000
56 710998587804863000000000000000000000000000000000000000000000000000000000000
57 40526919504877200000000000000000000000000000000000000000000000000000000000000
58 2350561331282880000000000000000000000000000000000000000000000000000000000000000
59 138683118545690000000000000000000000000000000000000000000000000000000000000000000
60 8320987112741390000000000000000000000000000000000000000000000000000000000000000000
61 507580213877225000000000000000000000000000000000000000000000000000000000000000000000
62 31469973260387900000000000000000000000000000000000000000000000000000000000000000000000
63 1982608315404440000000000000000000000000000000000000000000000000000000000000000000000000
64 126886932185884000000000000000000000000000000000000000000000000000000000000000000000000000
65 8247650592082470000000000000000000000000000000000000000000000000000000000000000000000000000
66 544344939077443000000000000000000000000000000000000000000000000000000000000000000000000000000
67 36471110918188700000000000000000000000000000000000000000000000000000000000000000000000000000000
68 2480035542436830000000000000000000000000000000000000000000000000000000000000000000000000000000000
69 171122452428141000000000000000000000000000000000000000000000000000000000000000000000000000000000000
70 11978571669969900000000000000000000000000000000000000000000000000000000000000000000000000000000000000
71 850478588567862000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
72 61234458376886100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
73 4470115461512690000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
74 330788544151939000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
75 24809140811395400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
76 1885494701666050000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
77 145183092028286000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
78 11324281178206300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
79 894618213078298000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
80 71569457046263800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
81 5797126020747370000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
82 475364333701284000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
83 39455239697206600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
84 3314240134565350000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
85 281710411438055000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
86 24227095383672700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
87 2107757298379530000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
88 185482642257398000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
89 16507955160908500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
90 1485715964481760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
91 135200152767840000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
92 12438414054641300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
93 1156772507081640000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
94 108736615665674000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
95 10329978488239100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
96 991677934870949000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
97 96192759682482200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
98 9426890448883250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
99 933262154439442000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
100 93326215443944200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

## Related Topics

• Mathematics - Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more

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