factorial

/fækˈtɔːɹi.əl/

//fækˈtɔːɹi.əl// noun

"factorial" is a 9-letter English headword indexed on PlainSpell.

The verdict

“factorial” is uncommon English (frequency #51,697 among 18,613 “F” headwords), classed as a noun. The kind of spelling people second-guess.

#51,697
frequency rank, English
18,613
“F” headwords

According to Wiktionary data (CC BY-SA, analyzed May 6, 2026) - The result of multiplying a given number of consecutive integers from 1 to the given number. In equations, it is symbolized by an exclamation mark (!). For example, 5! = 1 × 2 × 3 × 4 × 5 = 120.

Key facts for factorial
PropertyValue
Headwordfactorial
LanguageEnglish
Part of speechNoun
IPA/fækˈtɔːɹi.əl/
Letters9
Frequency rank#51,697
Misspellings tracked0
Confusable pairs0
SourceWiktionary (kaikki.org)

Where “factorial” sits in English frequency

Every-word frequency runs from the handful of words we use constantly (left) to the long tail used once in a blue moon (right). factorial lands here:

#1#100#1K#10K#100K
← used constantlyrarely used →

Scale is logarithmic (each tick is 10× rarer). Source: FrequencyWords open word-frequency list.

Rare enough to double-check

factorial is uncommon English at frequency #51,697 among 18,613 “F” headwords, classed as anoun, transcribed /fækˈtɔːɹi.əl/. Rarity is why readers land here mid-draft. Gloss: "The result of multiplying a given number of consecutive integers from 1 to the given number. In equations, it is symbolized by an exclamation mark (!). For example, 5! = 1 × 2 × 3 × 4 × 5 = 120.".

No generated misspelling entries exist for factorial in our index, a sign its spelling follows regular English conventions. It is not paired with a close-neighbour confusable in our dataset, which tends to mean the word is visually distinctive enough to stand on its own.

Etymologically, the entry records: From factor + -ial. The correct English form is factorial, spelled F-A-C-T-O-R-I-A-L.

Definition

  1. 1
    The result of multiplying a given number of consecutive integers from 1 to the given number. In equations, it is symbolized by an exclamation mark (!). For example, 5! = 1 × 2 × 3 × 4 × 5 = 120.

Etymology

From factor + -ial.

This word in other languages

Definitions, pronunciation, and etymology for this entry are drawn from Wiktionary via the kaikki.org structured extract (CC BY-SA); frequency ordering uses the FrequencyWords open word-frequency list (2018 English corpus, MIT). See the methodology for how each field is sourced and updated.

Frequently Asked Questions

How do you spell "factorial"?
"factorial" is spelled F-A-C-T-O-R-I-A-L. The IPA pronunciation is /fækˈtɔːɹi.əl/.
What does "factorial" mean?
As a noun, "factorial" means: The result of multiplying a given number of consecutive integers from 1 to the given number. In equations, it is symbolized by an exclamation mark (!). For example, 5! = 1 × 2 × 3 × 4 × 5 = 120.
How do you pronounce "factorial"?
The IPA (International Phonetic Alphabet) transcription for "factorial" is /fækˈtɔːɹi.əl/. Click the speaker icon on the pronunciation badge above to hear it spoken aloud where audio is available.
What is the origin of the word "factorial"?
From factor + -ial. See the full etymology section above for more details.
Is PlainSpell free to use?
Yes, PlainSpell is a completely free word reference. You can look up definitions, pronunciations, confusable pairs, homophones, and spelling corrections across 5 languages without any sign-up or subscription.

Using “factorial”

The practical upshot for anyone who landed here from a spell-check.

  • The one correct English spelling is F-A-C-T-O-R-I-A-L - every other letter order is a misspelling in standard orthography.
  • Say it as /fækˈtɔːɹi.əl/ (IPA); tap the speaker on the pronunciation badge to hear it where audio exists.
  • Browse more English words and confusable pairs in the same reference. English words

Other uncommon English words near this rank

Data Source

Wiktionary (via kaikki.org), licensed under CC BY-SA & GFDL. Word ordering uses an open word-frequency list; misspelling variants are generated by edit-distance from the correct headword.

Source: Wiktionary (via kaikki.org) Structured Wiktionary extract

Source: FrequencyWords open word-frequency list FrequencyWords open word-frequency list