Trailing zeros in 60 factorial = 14

Quick Answer: 14 trailing zeros in 60!
Legendre's Formula: Count factors of 5 in 60! ⌊60/5⌋ = 12 + ⌊60/25⌋ = 2 = 14

Factorial Calculator Until 10,000

Factorial Triangular Fibonacci

Enter a natural number (0 - 10,000):

Trailing Zeros in 60!

Trailing zeros in 60! = 14

How 60! is calculated

The number of trailing zeros in 60! is 14.
The number of digits in 60 factorial is 82.
The factorial of 60 is calculated, through its definition, this way:
60! = 60 • 59 • 58 • 57 • 56 ... 3 • 2 • 1

Exact value of 60!

60! = 8320987112741390144276341183223364380754172606361245952449277696409600000000000000

Nearby Factorials

n	n!	Digits	Trailing Zeros
55!	12696403...0000	74	13
56!	71099858...0000	75	13
57!	40526919...0000	77	13
58!	23505613...0000	79	13
59!	13868311...0000	81	13
60!	83209871...0000	82	14
61!	50758021...0000	84	14
62!	31469973...0000	86	14
63!	19826083...0000	88	14
64!	12688693...0000	90	14
65!	82476505...0000	91	15

More factorial calculations

Here you can find answers to questions like: What is the number of zeros on the end of 60 factorial What is the factorial of 60? What is the last digits of factorial of 60? How many trailing zeros in 60 factorial? How many digits are there in 60 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	#

Frequently Asked Questions

How many trailing zeros are in 60 factorial?

There are 14 trailing zeros in 60!. This is calculated using Legendre's formula: count how many times 5 divides into 60, then 25, then 125, and so on, adding up all the quotients.

What is Legendre's formula?

Legendre's formula calculates the number of trailing zeros in n! by summing ⌊n/5⌋ + ⌊n/25⌋ + ⌊n/125⌋ + ... until the quotient becomes 0. Each trailing zero comes from a factor of 10, which requires one factor of 2 and one factor of 5.

Factorial Calculator

Please link to this page! Just right click on the above image, choose copy link address, then past it in your HTML.

Popular Factorial Calculations

Top factorial calculations based on search data:

Trailing Zeros in Factorials

Find how many trailing zeros are in n! using Legendre's formula:

Digits in Factorials

Find how many digits are in n! using Stirling's approximation: