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factorial

Upper-Intermediate (B2)

IPA: /fækˈtɔːriəl/

KK: /fæktˈɔrɪəl/

adjective
Definition

This term describes something that is connected to a factor or the mathematical operation of multiplying a series of descending natural numbers.


Example

In mathematics, the factorial of a number is used to calculate permutations and combinations.


Conversation
Sloth A
Have you ever heard of factorial math problems?
Sloth B
Yeah, they can get pretty complicated, right?
Sloth A
I just learned about factorial functions in my math class.
Sloth B
They are important for understanding permutations and combinations!

Synonyms & Antonyms
Synonyms
multiplicative
combinatorial
numerical
Antonyms
additive
linear
simple
noun
Definition

The result of multiplying all whole numbers from 1 up to a specific number, often represented with an exclamation mark (e.g., 4! equals 24).


Example

To calculate 5 factorial, you multiply 1, 2, 3, 4, and 5 together, which equals 120.


Conversation
Sloth A
Have you ever heard of factorial in math class?
Sloth B
Yeah, I remember it’s the product of all positive integers up to a certain number.
Sloth A
Exactly! Like, 4 factorial equals 24, right?
Sloth B
Root Explanation

Factorial → It is formed from "facere" (meaning to do or make) and the suffix "-ial" (indicating relating to). The word "factorial" refers to the mathematical operation of multiplying a series of descending natural numbers, essentially relating to the process of doing or making a product of numbers.

Memory Tip

Think of 'doing' or 'making' something ('facere') in a series, which helps you remember that 'factorial' involves multiplying a sequence of numbers together.

Visually Confused Words
auctorial
unifactorial
subfactorial
refectorial
redactorial
prefatorial
olfactorily
fundatorial
Is this page helpful?
Right, it’s pretty interesting how it works!

Synonyms & Antonyms
Synonyms
product
multiplication
result
Antonyms
division
fraction
quotient