Does Not Divide Symbol ∤

In mathematics, the phrase "Does Not Divide" refers to a relationship between two integers where one integer is not a multiple of the other without leaving a remainder. It signifies that one number cannot be evenly divided by another.

Defining "Does Not Divide"

When an integer 'a' does not divide another integer 'b', denoted as \( a \nmid b \), it implies that 'b' cannot be expressed as 'a' multiplied by any integer 'c', resulting in a remainder when divided.

Characteristics

Key characteristics of "Does Not Divide" include:

  • Non-Multiples: The number being divided ('b') is not a multiple of the divisor ('a').
  • Remainder: 'b' cannot be evenly divided by 'a' and leaves a remainder upon division.

Notation and Usage

The relationship of "Does Not Divide" is symbolized using \( a \nmid b \) or "a does not divide b", signifying that 'a' is not a factor of 'b'.

Properties

"Does Not Divide" implies the absence of a factor relationship between integers and is a complementary concept to divisibility.

Applications in Mathematics

The concept of "Does Not Divide" is crucial in:

  • Number Theory: Studying non-divisibility relationships, composite numbers, and prime factorization.
  • Algebraic Reasoning: Analyzing equations, expressions, and mathematical structures involving non-divisibility.

"Does Not Divide" signifies the absence of a divisibility relationship between integers, indicating that one number cannot be evenly divided by another without leaving a remainder. Understanding this concept is essential in number theory and algebraic reasoning, providing insights into non-divisibility relationships, composite numbers, and mathematical structures involving absence of divisibility.

Recognizing non-divisibility helps in identifying prime numbers, exploring properties of integers, and reasoning about mathematical structures where absence of divisibility plays a crucial role.

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Does Not Divide Symbol Information

Symbol Name Does Not Divide
Unicode Version 1.1 (June 1993)
Unicode U+2224
CSS Code \2224
HTML Entity ∤
Hex Code ∤
HTML Code ∤
Latex \nmid

Does Not Divide Symbol Encoding

UTF-8 0xE2 0x88 0xA4
UTF-16 0x2224
UTF-32 0x00002224


Does Not Divide symbol's PNG and SVG files


How to add does not divide symbol via keyboard on different Operating systems

You can type the does not divide on most modern devices with the help of following methods:

How to type does not divide symbol on Microsoft Word

You can type the does not divide on microsoft Microsoft Word using steps mentioned below:

  • Place your cursor in the text area where you need to insert the symbol and type 2 2 2 4
  • Without moving the cursor press keys Alt + x together
  • The original 2 2 2 4 is now transformed into ∤

How to type does not divide symbol on Microsoft Windows

You can type the does not divide on Microsoft windows using following steps:

  • Hold Alt and press to type does not divide on your windows machine.

How to type does not divide symbol on Mac OS

You can type the does not divide on Mac OS using following steps:

  • Place your cursor in the text area where you need to insert the symbol
  • Press Ctrl + ⌘ Command + ⎵ Space to bring up the Character Viewer. Alternatively, choose Edit ⇒ Emoji & Symbols
  • Type “Does Not Divide” in the search field at the top and press Enter
  • The symbol should appear. Click on it to insert it into your text
  • How to type does not divide symbol on Mac OS
    How to type does not divide symbol on Mac OS

How to type does not divide symbol on Linux

You can type the does not divide on Linux using following steps:

  • Place your cursor in the text area where you need to insert the symbol
  • Hold ⇧ Shift + Ctrl and press the letter + U
  • Press keys 2 2 2 4 consecutively
  • And then press ↵ Enter , the desired symbol will be added to your document

How to type does not divide symbol on IOS and Android

The easiest way to type the does not divide on ios and android is to copy and paste it wherever you need it.


How to use does not divide in CSS

Copy // css example
span {
content: "\2224";
}

How to type does not divide in HTML

Copy // html example
<span>&#8740;</span>

Does Not Divide symbol representation in programming languages

does not divide's representation in different programming languages can be found in table below:

Language Representation
Rust \u{2224}
Ruby \u{2224}
Python \u2224
PHP \u{2224}
Perl "\x{2224}"
Java \u2224
Modern JavaScript - Since ES6 \u{2224}
JavaScript \u2224
Go \u2224
C# \u2224
C and C++ \u2224
Bash and Zsh - inside echo -e \u2224
RFC 5137 \u'2224'
No Result
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