## What is factorial in simple terms?

A factorial is a function in mathematics with the symbol (!) that multiplies a number (n) by every number that precedes it. In simpler words, the factorial function says to multiply all the whole numbers from the chosen number down to one. In more mathematical terms, the factorial of a number (n!) is equal to n(n-1).

What is factorial and examples?

Factorials (!) are products of every whole number from 1 to n. In other words, take the number and multiply through to 1. For example: If n is 3, then 3! is 3 x 2 x 1 = 6.

What is the rule of factorial?

The factorial function (symbol: !) says to multiply all whole numbers from our chosen number down to 1. Examples: 4! = 4 × 3 × 2 × 1 = 24.

### How factorial is calculated?

To find the factorial of a number, multiply the number with the factorial value of the previous number. For example, to know the value of 6! multiply 120 (the factorial of 5) by 6, and get 720. For 7!

Why do we use factorials?

You might wonder why we would possibly care about the factorial function. It’s very useful for when we’re trying to count how many different orders there are for things or how many different ways we can combine things. For example, how many different ways can we arrange n things? We have n choices for the first thing.

Where factorial is used?

In mathematical analysis, factorials are used in power series for the exponential function and other functions, and they also have applications in algebra, number theory, probability theory, and computer science.

## Why is it called factorial?

The term factorial is drawn from the more common math (and English) term factor. The roots of both these words are in the word fact and its Latin root facere, to do. To know the facts, is to know what has been done. The person who does something is then called the factor.

What is an example of a factorial?

– The number 1 is the smallest factor of every number. – Every number will have a minimum of two factors, 1 and the number itself. – A number that has only two factors, 1 and the number itself, is called a prime number.

How to use factorial?

Determine the expression you are simplifying. Often this will be stated as a fraction.

• Write out the factors of each factorial. This is easy to do if you write out each term.
• Cancel out any terms common to the numerator and denominator. This will simplify the numbers leftover that you need to multiply.
• Complete the calculations. Simplify if possible.
• ### How do you solve factorial?

The answer is 1,680. Expand the numerator,and leave the denominator as 4!. Then reduce and simplify:

• The answer is 2,652. Expand the numerator,and leave the denominator as 50!.
• The answer is 10. Expand the numerator and the first factor in the denominator.
• The answer is 15,504. Expand the numerator and the first factor in the denominator.
• How does factorial work?

How Do Factorials Work? A factorial is a function in mathematics with the symbol (!) that multiplies a number (n) by every number that precedes it. In simpler words, the factorial function says to multiply all the whole numbers from the chosen number down to one. In more mathematical terms, the factorial of a number (n!) is equal to n (n-1).