Loading...

Factorial Calculator

Factorial Calculator

An instant positive integer calculator allowing you to determine the factorial of any positive integer. A factorial of numbers is usually denoted as n! This concept of factorials is important in probability, in permutations, combinations, and in many more numerical calculations. This factorian calculator works with both large integers and small ones providing the results fairly fast and accurately. Just input a number and obtain its factorial which serves to help with the calculations of any math project or statistics for that matter.

The Mathematical Play of Factorials and Factorial Calculator

The factorial is a mathematical concept used in combinations, permutations, and more advanced math calculations. A factorial, denoted by n!, is the product of every positive integer up a positive number nn. For instance, 5! = 5×4×3×2×1 = 1205! = 5×4×3×2×1 = 120.

It can lead you to tools such as: factorial calculator to simplify these computations and save your time and avoid mistakes. Approach it further and with advanced functionalities.

Factorial Calculator Division

Many factorial calculators even allow division directly between factorial results. For example, computing 6! 4! 6! / 4! with this feature is very easy without manual effort.

This function proves most useful for simplifying complicated mathematical expressions that involve a factorial.

Advanced Factorial Calculator

An advanced factorial calculator does much more than simple calculations. It supports:

  • Large numbers (e.g., 100! 100!)
  • Calculations with powers of factorials
  • Applications to advanced probability and algebra questions

Advanced calculators are essential for researchers, students, and professionals who often encounter problems based on factorial.

Calculator for Factorial Combination

When taking combinations it uses factorials to calculate the number of ways to choose items out of a set. The formula to find combinations is the following:

C(n,r) = n! / r! (n−r)!

A factorial calculator combo feature makes it easier to work this out so you get it right every time and save time when tackling questions similar to "How many ways to choose 5 items from 10?"

Factorial Fraction Calculator

A factorial fraction calculator can help do fractions involving values of factorial like 7! / (3!)². This is particularly useful in areas such as:

  • Mathematical notation expressions in algebra
  • When you solve physics or engineering equations

Double Factorial Calculator

A double factorial calculator calculates the double factorial of a number (n!!). n!!. Double factorials mean you multiply every second number from nn. For instance:

8!! = 8×6×4×2 = 384

Double factorials have applications in combinatorics and advanced mathematical theories.

Questions and Answers on Factorials and Calculators

Q1. What Is a Factorial Calculator?

Factorial Calculator is a tool that helps in the calculation of the factorial and other operations such as factorial fractions, combinations, and double factorial.

Q2. Can I calculate factorials for very large integer values?

100! is a huge number, but yes, advanced factorial calculators can compute such things. 100! — something that would otherwise be messy and difficult to calculate without machines.

Q3. How a factorial fraction calculator is beneficial?

It reduces things like n! / k! or n! / k! (n-k)!, and so it is essential in algebra and probability.

Q4. What is the difference between the factorial and double factorial?

The factorial multiplies every integer up to nn, whereas the double factorial multiplies every second integer up to nn.

Q5. How to get online a factorial calculator?

Calculatoric Factorial Calculator is an intuitive and reliable factorial calculator.

Factorial Calculator Visit us now for advanced factorial computation!

Factorial Solutions (1 to 20)

1! = 1

2! = 2 × 1 = 2

3! = 3 × 2 × 1 = 6

4! = 4 × 3 × 2 × 1 = 24

5! = 5 × 4 × 3 × 2 × 1 = 120

6! = 6 × 5 × 4 × 3 × 2 × 1 = 720

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040

8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320

9! = 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 362880

10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 3,628,800

11! = 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 39,916,800

12! = 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 479,001,600

13! = 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 6,227,020,800

14! = 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 87,178,291,200

15! = 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 1,307,674,368,000

16! = 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 20,922,789,888,000

17! = 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 355,687,428,096,000

18! = 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 6,402,373,705,728,000

19! = 19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 121,645,100,408,832,000

20! = 20 × 19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 2,432,902,008,176,640,000

Published on: 2024-12-12 14:49:02
Author: James Miller
Factorial Calculator

An instant positive integer calculator allowing you to determine the factorial...

Learn More

Calculator Categories

Special
Learn More
Physics
Learn More
Health and Fitness
Learn More
Finance and Account
Learn More
Educational and Exam
Learn More
Conversion
Learn More
Construction
Learn More
Computer
Learn More