3 factorial, written as 3!, is the product of all positive integers from 1 to 3.

It is calculated as:
3! = 3 × 2 × 1 = 6

This concept is commonly used in permutations, combinations, and probability to determine the number of ways to arrange items. For example, 3 different books can be arranged on a shelf in 6 different ways.

🌐
Statlect
statlect.com › glossary › factorial
Factorial | Use in probability and statistics
On this page we provide a basic introduction to factorials and we explain how they are used in probability theory and statistics. ... The following is a formal definition.
🌐
Quora
quora.com › What-is-factorial-of-3
What is factorial of (-3)? - Quora
Answer (1 of 3): As 0! and 1! = 1 , 2! = 2, 3! = 6 and so on Can we not have -1! = -1 -2! = 2 = -1 X -2 -3! = -6 = -1 X -2 X -3 -4! = 24 = -1 X -2 X -3 X -4 -5! = -120 = -1 X -2 X -3 X -4 X -5 ...and so on?
Discussions

What does 3 factorial mean?
Hint: In the given question, we have been asked to find the factorial of a given number i.e. 3. Factorial is the product of all the numbers which are less than or equal to that given number, numbers should be only positive integers such that ‘n’ factorial means product of all the numbers ... More on vedantu.com
🌐 vedantu.com
1
0
January 17, 2026
ELI5: What is a factorial and how does it work
To calculate the factorial of a number, multiply it by all whole numbers below it.  For example, 5! = 5x4x3x2x1 = 120. One use of factorials is to find the number of permutations (orders).  For example, if 5 people run in a race, any of the 5 people can finish first, any of the 4 remaining people can finish second, any of the remaining 3 people can finish third, any of the 2 remaining people can finish fourth, and the last remaining person finishes last.  So there are 5! = 5x4x3x2x1 = 120 different possible race results. More on reddit.com
🌐 r/explainlikeimfive
19
0
December 31, 2024
Factorial 3 times
I’m not sure there is. Double and triple factorials are something else and are already well defined. More on reddit.com
🌐 r/learnmath
18
2
October 16, 2024
What does 3 factorial mean?
When we talk about "3 factorial," we are referring to a mathematical operation that involves multiplying a series of descending natural numbers. The notation for factorial is represented by an exclamation mark, so 3 factorial is written as 3!. More on askiitians.com
🌐 askiitians.com
1
0
July 28, 2025
product of all integers between 1 and the integral input of the function
FactorialReIm
In mathematics, the factorial of a non-negative integer ... {\displaystyle {\begin{aligned}n!&=n\times (n-1)\times (n-2)\times (n-3)\times \cdots \times 3\times 2\times 1\\&={\begin{cases}1,&{\text{if }}n=0\\n\times (n-1)!,&{\text{if }}n\geq 1.\end{cases}}\\\end{aligned}}} For example, ... ... … Wikipedia
🌐
Wikipedia
en.wikipedia.org › wiki › Factorial
Factorial - Wikipedia
1 week ago - {\displaystyle \vert \!{\underline ... it is difficult to typeset. The word "factorial" (originally French: factorielle) was first used in 1800 by Louis François Antoine Arbogast, in the first work on Faà di Bruno's formula, but referring to a more general concept of products of arithmetic progressions. The "factors" that this name refers to are the terms of the product formula for the factorial. ... {\displaystyle n!=1\cdot 2\cdot 3\cdots (n-2)\cdot ...
🌐
Penn State Statistics
online.stat.psu.edu › statprogram › reviews › algebra › factorials
A.3 Factorials | STAT ONLINE
A factorial is a mathematical operation in which you multiply the given number by all of the positive whole numbers less than it. In other words \(n!=n \times (n-1) \times … \times 2 \times 1\). ... When we discuss probability distributions in STAT 200 we will see a formula that involves ...
🌐
Vedantu
vedantu.com › question-answer › what-does-3-factorial-mean-class-10-maths-cbse-602f3ddfd7a10e4df29a6b46
What does 3 factorial mean class 10 maths CBSE
January 17, 2026 - Hint: In the given question, we have been asked to find the factorial of a given number i.e. 3. Factorial is the product of all the numbers which are less than or equal to that given number, numbers should be only positive integers such that ‘n’ factorial means product of all the numbers ...
🌐
ThoughtCo
thoughtco.com › factorial-in-math-and-statistics-3126584
What Is the Factorial (!) in Mathematics and Statistics?
May 14, 2025 - For example, consider the following ... 3! is read as "three factorial" and is really a shorthand way to denote the multiplication of several consecutive whole numbers....
🌐
Quora
quora.com › What-does-3-mathematically-mean
What does “3!” mathematically mean? - Quora
It was used for find factorial of any number . There is a formula to find factorial of any natural number : n! = n(n-1)(n-2)(n-3)……… until we don't get 1 . So 3! = 3(3–1)(3–2)= 3×2×1=6.
Find elsewhere
🌐
Reddit
reddit.com › r/explainlikeimfive › eli5: what is a factorial and how does it work
r/explainlikeimfive on Reddit: ELI5: What is a factorial and how does it work
December 31, 2024 - For example, if 5 people run in ... 3 people can finish third, any of the 2 remaining people can finish fourth, and the last remaining person finishes last. So there are 5! = 5x4x3x2x1 = 120 different possible race results. ... Another use of factorials has to do with irrational numbers (i.e numbers that cannot represented as the ratio of two integers) such as pi and e. You can approximate those values using formulas that incorporate factorials. ... A factorial is a number ...
🌐
YouTube
youtube.com › watch
3!! Is Not Equal To (3!)! #maths #mathematics #math #mathematic #factorial - YouTube
Thanks for watching! Please like, share, and subscribe.
Published   December 25, 2023
🌐
Hacker News
news.ycombinator.com › item
Do you know what a factorial is? 3 factorial is written as 3! and is defined as ... | Hacker News
September 9, 2022 - That’s easy. What about 100! Or 124! Obviously you could calculate that by multiplying all the numbers but that’s slow. A quicker way is to use Ramanujan’s formula which will give you an answer with much less calculation. The catch is that the answer may not be exactly correct, just a ...
🌐
askIITians
askiitians.com › forums › 10-grade-maths › what-does-3-factorial-mean-25_480480.htm
What does 3 factorial mean? - askIITians
July 28, 2025 - When we talk about "3 factorial," we are referring to a mathematical operation that involves multiplying a series of descending natural numbers. The notation for factorial is represented by an exclamation mark, so 3 factorial is written as 3!.
🌐
Athometuition
athometuition.com › factorials.aspx
Factorials
The factorial of a number is calculated by multiplying integers from 1 up to the number.
🌐
Nagwa
nagwa.com › en › videos › 892165485759
Lesson Video: Factorials
3 · Second Term • Full Curriculum · Second Term • Full Curriculum · Second Term • Full Curriculum · Second Term • Full Curriculum · Second Term • Full Curriculum · Second Term • Full Curriculum · Second Term • Full Curriculum ...
🌐
Oregon State University Math
sites.science.oregonstate.edu › math › home › programs › undergrad › CalculusQuestStudyGuides › SandS › SeriesTests › factorial.html
Factorials
The Ratio Test will usually cause a lot of cancellation in these cases; cancellation which will rid you of most, if not all, of the factorial part. ... The reason is that [(n+1)/n)]^n=[1+1/n]^n -> e as n->infinity.
🌐
STEM
stem.org.uk › resources › library › collection › 20252 › factorials
Factorials
Yannay Khaikin explains how factorials allow us to pinpoint the exact (very large) number of permutations in a standard deck of cards. ... SupportAccessibilityCookiesPrivacy policySafeguardingTerms and conditionsStatement on Modern Slavery · © STEM Learning Ltd. is a not-for-profit company ...
🌐
CalculatorSoup
calculatorsoup.com › calculators › discretemathematics › factorials.php
Factorial Calculator n!
Factorial of 10 10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 3,628,800 ... A factorial is a function that multiplies a number by every number below it. For example 5!= 5*4*3*2*1=120.
🌐
BYJUS
byjus.com › maths › factorial
Factorial
In short, a factorial is a function that multiplies a number by every number below it till 1. For example, the factorial of 3 represents the multiplication of numbers 3, 2, 1, i.e.
Published   October 6, 2021
Views   1K