 # Multiplying and Dividing Factorials

High School Math based on the topics required for the Regents Exam conducted by NYSED.

In these lessons, we will learn how to multiply factorials, divide factorials and simplify expressions involving factorials with and without variables.

Related Topics:
More Lessons on Probability
More Lessons for the Regents Exam

### Multiplying Factorials

Pre Algebra Lesson: Factorials
In these Pre Algebra Lessons we take a look at factorials.
Simply put a factorial looks like this: 4! and is calculated by multiplying the number by all the smaller numbers.
4! = 4 * 3 * 2 * 1 = 24.

How to evaluate factorials and how to simplify expressions involving factorials?
Given n is a positive integer. n! is the product of positive integers less than or equal to n.
n! = n ˙ (n - 1) ˙ (n - 2) ... 2 ˙ 1
n! = n ˙ (n - 1)!
0! = 1

Examples:
Evaluate the expressions:
7!
8!/6!
10!/(7!3!) How to evaluate factorials and how to simplify expressions involving factorials containing variables?
Examples:
Simplify
k!/(k - 2)!
(k + 2)!/(k - 1)! How to evaluate expressions with factorials?
Examples:
Evaluate
a) 5!
b) 4!(5!)
c) 6! - (7 - 3)!/3! Multiplying and dividing factorials
Examples:
8!/6!
10!/(8!3!)

Basic Math Skills : Multiplying Factorials
A factorial is the nomenclature used to describe a series of mathematical operations during multiplication.

### Dividing Factorials

Math: Dividing Factorials
When dividing factorials, reduce by canceling the integers that are the same on the top and bottom.
Examples:
8!/6!
5!/3! Dividing Factorials
A simple problem demonstrating how to simplify factorials in a fraction.
Example:
11!/8! How to reduce a factorial expression in terms of a single variable?
Example:
Reduce
(n + 2)!/(n - 1)! Simplifying Factorials
Math Lessons & Study Tips : How to Simplify Factorials
A factorial, such as four factorial, means that the result is four times three times two times one. Find out how to simplify factorials when they're used in fractions.

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