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fac(5) =
120
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Hint: Here in this question, we will show how to calculate the factorial of 5 and give the exact answer. Factorial of 5 means that we multiply 5 by every number below it. Therefore, we calculate the factorial of 5 by multiplying 5 by 4 and then by 3 and so on all the way down to 1. And further simplify using a multiplication operation to get the required answer.Complete step-by-step answer:The factorial is a quantity defined as any integer \\[x\\] greater than or equal to 0.The factorial is the product of all integers less than or equal to \\[x\\] 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.The factorial symbol is the exclamation mark ‘ \\[!\\] ’.In general, the factorial formula represented as If n is an natural number greater than or equal to 1, then \\[n! = n \\times \\left( {n - 1} \\right) \\times \\left( {n - 2} \\right) \\times \\left( {n - 3} \\right) \\times \\,\\,...\\,3 \\times 2 \\times 1\\] .If \\[p = 0\\] , then \\[p! = 1\\] by convention.Consider, the given questionWe have to find the value of factorial of 5.Before we begin, note that the factorial of 5 can be written as 5 followed by an exclamation mark like: \\[5!\\] For finding the exact value of \\[5!\\] that we multiply 5 by every number below it i.e., \\[ \\Rightarrow \\,\\,5! = 5 \\times 4 \\times 3 \\times 2 \\times 1\\] On multiplication, we get \\[ \\Rightarrow \\,\\,5! = 120\\] Hence, the exact value of factorial 5 is \\[5! = 120\\] .So, the correct answer is “120”.Note: Factorials are commonly used when calculating probability and permutations, or possible orders of events. A factorial is denoted by a \\[!\\] sign, and it means to multiply together all the numbers descending from the factorial number. And while solving factorials we must and should know the multiplication.
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Wikipedia
en.wikipedia.org › wiki › Factorial
Factorial - Wikipedia
6 days ago - {\displaystyle p=5} , so each factor of five can be paired with a factor of two to produce one of these trailing zeros. The leading digits of the factorials are distributed according to Benford's law.
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CalculatorSoup
calculatorsoup.com › calculators › discretemathematics › factorials.php
Factorial Calculator n!
A factorial is a function that multiplies a number by every number below it. For example 5!= 5*4*3*2*1=120. The function is used, among other things, to find the number of ways “n” objects can be arranged.
Discussions

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
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December 31, 2024
python - Calculate the factorial of a number - Stack Overflow
Return the factorial as the output of the function. Hello everybody! I've just started to learn Python and I have difficulties already. I am stuck on this task. I've tried to use both - loops and recursion but at the end it still an error ( EOF Error). And how exactly should I return the factorial (task 5... More on stackoverflow.com
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How can you take the factorial of integers and halves?
The answer is complicated. Essentially, there is a way to extend the factorial function to all of the complex plane except the negative integers called the Γ function . To understand why this is the "right" extension one needs to learn some complex analysis. In essence, this is the only "nice" function that agrees with the factorial on positive integer (well, kinda, due to technical reasons its more comfortable to define Γ such that it satisfies a historical mistake Γ is defined such that Γ(n)=(n-1)!). However, the extension of factorial specifically for half positive integers (e.g. to 1/2) was worked out before the full blown Γ function was defined (so I imagine that late 19th century mathematicians were very pleased to find that defining Γ this way is consistent with the definition I'm about to describe): it essentially followed from working out the volumes and areas of n-dimensional balls and spheres. People noted that for even values of n, the volume of an n-dimensional ball is pi^(n/2)/(n/2)! and the surface area of an n-dimensional ball (that is, an (n-1)-dimensional sphere) is 2pi^(n/2)/(n/2-1)!. It then made sense to define (n/2)! for general n as V(n)/pi^(n/2) where V(n) is the folume of an n-dimensional ball. Once doing so, it became apparent that the properties of factorial are preserved for this extension, for example (n/2)!(n/2+1) = (n/2+1)!. More on reddit.com
🌐 r/math
49
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March 27, 2024
Can someone explain the logic behind (5-3)! without the formula?
Hi u/NotVeryBright8 , This is an automated reminder from our moderators. Please read, and make sure your post complies with our rules. Thanks! If your post contains a problem from school, please add a comment below explaining your attempt(s) to solve it. If some of your work is included in the image or gallery, you may make reference to it as needed. See the sidebar for advice on 'how to ask a good question'. Rule breaking posts will be removed. Thank you. I am a bot, and this action was performed automatically. Please contact the moderators of this subreddit if you have any questions or concerns. More on reddit.com
🌐 r/askmath
17
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December 15, 2021
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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 - To calculate the factorial of a number, multiply it by all whole numbers below it. For example, 5!
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Indeed
ca.indeed.com › career guide › career development › how to calculate a factorial (plus examples and faq)
How to Calculate a Factorial (Plus Examples and FAQ) | Indeed.com Canada
3 days ago - Learning how to calculate a factorial involves understanding what it is and using the correct formula. A factorial is the product of an integer and all the integers below it. For example, the factorial of five (5!) is 5 x 4 x 3 x 2 x 1, which equals ...
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Quora
quora.com › The-expression-5-factorial-equals-what
The expression '5 factorial' equals what? - Quora
Answer (1 of 5): The factorial function is defined as the product of all positive Integers less than or equal to the given Integer, n, that is all the numbers from 1\to n multiplied together, and is written n!. In symbols: n!=\prod\limits_{i=1}^{n}i=1\times2\times\dotsb\times n Thus 5!=1\times2...
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GeeksforGeeks
geeksforgeeks.org › dsa › program-for-factorial-of-a-number
Factorial of a Number - GeeksforGeeks
Note: Factorial of n is defined as n * (n -1) * (n - 2) * ... * 1, for n = 0, factorial is 1. ... The idea is simple, we initialize result as 1. Then, run a loop from 1 to n and multiply every number with result.
Published   January 13, 2026
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Math is Fun
mathsisfun.com › numbers › factorial.html
Factorial Function !
The factorial function (symbol: !) says to multiply all whole numbers from our chosen number down to 1. Examples:
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Sangakoo
sangakoo.com › syllabus › discrete mathematics › the combinatorial numbers › the factorial of a number
The factorial of a number
That is, the product of all the positive integers that are less than $$5$$. The result is called factorial of five and it is indicated by an exclamation mark next to the number five: $$5!$$ and it is read "factorial of five".
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Cuemath
cuemath.com › numbers › factorial
Factorial - Meaning, Formula | Factorial of Hundred & 0
Symbolically, a factorial can be ... · ... · n = Product of the first n positive integers = n(n-1)(n-2)…………………….(3)(2)(1) Example: 5 factorial, that is, 5!...
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Quora
quora.com › What-is-5-Factorial-1
What is 5! (Factorial)? - Quora
Answer (1 of 15): Factorial of a natural number is the continuous product of all natural numbers less than or equal to it. So, 5!=1*2*3*4*5=120.
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YouTube
youtube.com › rashi goel - a certified math tutor
Factorial of 5 | 5! = ? | How to find the Factorial of any number | Quick Trick - YouTube
Can you find the value of Factorial 5 ?In this Video I explained the step-by-step solution that will help you to understand the concept clearly.Don't Forget ...
Published   September 18, 2022
Views   4K
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BYJUS
byjus.com › maths › factorial
Factorial
Therefore, the value of factorial of 5 is 120.
Published   October 6, 2021
Views   1K
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BrightChamps
brightchamps.com › home › math › math questions › factorial › factorial of -5
What is the Factorial of -5? | -5 Factorial [Solved]
October 8, 2025 - The factorial of a number is written using an exclamation mark (!) after it. However, factorials are only defined for non-negative integers. Since -5 is a negative number, the factorial of -5 is not defined.
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ZeptoMath
zeptomath.com › calculators › factorial.php
5! - Factorial of 5
A factorial of N is the product of all positive integers between 1 and N inclusive. For example, the factorial of 5 is 5×4×3×2×1=120. The one exception is 0!, which is defined as 1.
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Quora
quora.com › What-is-the-value-of-5-factorial-2
What is the value of 5! (factorial)? - Quora
Answer (1 of 2): The factorial ... × 1 Now, 5! = 5 × (5–1) × ………×1 = 5 × 4 × 3 × 2 × 1 = 20 × 3 × 2 × 1 = 60 × 2 ......
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freeCodeCamp
freecodecamp.org › news › what-is-a-factorial
What is a Factorial? How to Calculate Factorials with Examples
August 3, 2022 - The factorial of 0 has value of 1, and the factorial of a number n is equal to the multiplication between the number n and the factorial of n-1. For example, 5! is equal to 4!