Math symbol reference

Divides

Indicates that one integer divides another with no remainder.

UnicodeU+2223
LaTeX\mid
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

Number Theory 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

  • ∤ — Does Not Divide
  • ≡ — Congruent Modulo
  • ⌊ — Left Floor

Use ∣ in the right format

Meaning and usage

Indicates that one integer divides another with no remainder.

Write a divides b when b = ak for some integer k.

Pronunciation: divides

Formula examples

3 \mid 12

How to type Divides

Windows
Open Character Map and search by name or Unicode U+2223.
macOS
Open Character Viewer with Control–Command–Space and search by the symbol name.
Microsoft Word
In an equation, type \mid 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 \mid.
Excel
Paste ∣ into a cell or use Insert → Symbol when available. Ordinary cells preserve the character but do not interpret LaTeX commands.

Common mistakes

  • Preserve grouping, operator order, and spacing around ∣; Write a divides b when b = ak for some integer k.
  • For plain text, copy ∣ as U+2223; for structured equations, use \mid in math mode. A look-alike glyph or image can break search, accessibility, or parsing when the intended character is Divides.

When to use ∣

  • Use ∣ in plain text when a Unicode character is appropriate and the destination preserves U+2223.
  • Use \mid in an equation editor when mathematical spacing or structure matters.
  • Define the local meaning when Divides is used in number theory with a field-specific convention.

Look-alikes and related characters

  • ∤ — Does Not Divide
  • ≡ — Congruent Modulo
  • ⌊ — Left Floor

Font and compatibility notes

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

Continue the workflow

From Divides to a finished equation

  1. Copy the characterUse ∣ in plain text when Unicode is accepted.
  2. Choose a structured formatUse \mid 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 Divides symbol mean?

Indicates that one integer divides another with no remainder.

What is the LaTeX command for ∣?

Use \mid in a compatible math environment.

Can I copy ∣ as Unicode?

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

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