Math symbol reference

Factorial !

Multiplies all positive integers from one through a nonnegative integer n.

!
UnicodeU+0021
LaTeX!
HTML entity!
HTML decimal!
MathML<mo>!</mo>

Semantic identity and intent

Semantic type

operator

An operator, relation, connective, or notation mark whose meaning depends on its operands and context.

Primary search task

understand the operation or relation, see a valid example, and copy the correct notation

Combinatorics SymbolsProbability Symbols

MathML token

<mo>

Use ! with the operand structure shown in the examples. Preserve grouping, limits, spacing, and evaluation order when converting between formats.

Characters to distinguish

  • ∏ — Product

Use ! in the right format

Meaning and usage

Multiplies all positive integers from one through a nonnegative integer n.

Write n! after the argument and remember that 0! is defined as 1.

Pronunciation: factorial

Formula examples

5!=120

How to type Factorial

Windows
Use Character Map or enter U+0021 in a Unicode-aware application.
macOS
Open Character Viewer with Control–Command–Space and search by the symbol name.
Microsoft Word
In an equation, type ! and press Space when Word supports the command.
iPhone and iPad
Copy and paste !, or use a math/LaTeX app. The standard iOS keyboard may not expose every mathematical symbol.
Android
Copy and paste !, or use a math keyboard or LaTeX editor. Keyboard layouts vary by device and app.
Google Docs
For plain text, paste ! or use Insert → Special characters. For structured math, use the equation editor and verify !.
Excel
Paste ! into a cell or use Insert → Symbol when available. Ordinary cells preserve the character but do not interpret LaTeX commands.

Common mistakes

  • Define ! near first use because statistical and probability conventions can distinguish sample, population, estimator, and parameter meanings.
  • For plain text, copy ! as U+0021; for structured equations, use ! in math mode. A look-alike glyph or image can break search, accessibility, or parsing when the intended character is Factorial.

When to use !

  • Use ! in plain text when a Unicode character is appropriate and the destination preserves U+0021.
  • Use ! in an equation editor when mathematical spacing or structure matters.
  • Define the local meaning when Factorial is used in combinatorics, probability with a field-specific convention.

Look-alikes and related characters

  • ∏ — Product

Font and compatibility notes

Font coverage varies; verify the code point and destination rendering before publication.

Continue the workflow

From Factorial to a finished equation

  1. Copy the characterUse ! in plain text when Unicode is accepted.
  2. Choose a structured formatUse ! for LaTeX or the MathML snippet for accessible web equations.
  3. Edit or convertOpen the value in the editor or converter without retyping it.

Review and source notes

Quality tier: catalog

Last reviewed: 2026-07-23

Review method: Catalog review of character identity and notation mappings.

Verified against: Unicode Standard, Unicode mathematical notation guidance, and established LaTeX/MathML syntax.

Reference sources

Frequently asked questions

What does the Factorial symbol mean?

Multiplies all positive integers from one through a nonnegative integer n.

What is the LaTeX command for !?

Use ! in a compatible math environment.

Can I copy ! as Unicode?

Yes. Use the copy button above to copy the Unicode character directly.

Reuse, attribution, and correction

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