What is 45 factorial?

45! = 11962222086548019456.... It has 57 digits and 10 trailing zeros.

Calculate the factorial of 45 - Factorial Calculator

Quick Answer: 45! = 1196222208...0000
57 digits | 10 trailing zeros

Factorial Calculator Until 10,000

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45! Result

11962222086548019456...00000000

How 45! is calculated

The number of trailing zeros in 45! is 10.
The number of digits in 45 factorial is 57.
The factorial of 45 is calculated, through its definition, this way:
45! = 45 • 44 • 43 • 42 • 41 ... 3 • 2 • 1

Exact value of 45!

45! = 119622220865480194561963161495657715064383733760000000000

Nearby Factorials

n	n!	Digits	Trailing Zeros
40!	81591528...0000	48	9
41!	33452526...0000	50	9
42!	14050061...0000	52	9
43!	60415263...0000	53	9
44!	26582715...0000	55	9
45!	11962222...0000	57	10
46!	55026221...0000	58	10
47!	25862324...0000	60	10
48!	12413915...0000	62	10
49!	60828186...0000	63	10
50!	30414093...0000	65	12

More factorial calculations

Here you can find answers to questions like: Calculate the factorial of 45 What is the factorial of 45? What is the last digits of factorial of 45? How many trailing zeros in 45 factorial? How many digits are there in 45 factorial? Use the factorial calculator above to find the factorial of any natural between 0 and 10,000.

What is factorial?

Definition of factorial

The factorial is a quantity defined for any integer n greater than or equal to 0.

The factorial is the product of all integers less than or equal to n but greater than or equal to 1. The factorial value of 0 is, by definition, equal to 1. For negative integers, factorials are not defined. The factorial can be seen as the result of multiplying a sequence of descending natural numbers (such as 3 × 2 × 1).

The factorial symbol is the exclamation mark (!).

The factorial formula

If n is a natural number greater than or equal to 1, then

n! = n x (n - 1) x (n - 2) x (n - 3) ... 3 x 2 x 1

If n = 0, then n! = 1, by convention.

Example: 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720

Shortcut to find trailing zeros in a factorial

Trailing zeros are a sequence of zeros in the decimal representation of a number, after which no other digits follow. This video shows how to find the trailing zeros of a factorial easily.

Table of factorials until 30

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	#

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Trailing Zeros in Factorials

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