Definition

1. Adjective:
   • Not capable of being divided or separated into parts; indivisible: Describes something that cannot be split or partitioned without destroying its wholeness or integrity. In mathematics, it specifically refers to a number that cannot be divided by another number without leaving a remainder.

Usage

• The adjective "undividable" is used to describe a state of being whole and inseparable. It is a formal synonym for "indivisible."
• It can be applied in both concrete contexts (like physical objects) and abstract contexts (like concepts, rights, or mathematical entities).
• Example Sentence Structure: "The [noun] is undividable."

Examples

• Abstract Concept:

  • The sovereignty of the nation is undividable. (The nation's supreme power cannot be split among different authorities.)
  • They viewed their friendship as an undividable bond. (They considered their friendship to be a connection that could not be broken apart.)

• Mathematics:

  • The number 7 is undividable by 3. (When you divide 7 by 3, you get a remainder; 3 does not go into 7 evenly.)
  • Prime numbers are, by definition, undividable by any other integer except 1 and themselves. (Prime numbers cannot be divided without a remainder by other whole numbers.)

Advanced Usage

• "undividable attention": complete and focused attention that cannot be split between tasks.
  • The complex surgery required the surgeon's undividable attention.
• "undividable whole": an entity that is considered complete only in its entirety.
  • The trilogy forms an undividable whole; watching just one film misses the point.

Variants and Related Words

• Indivisible (adj): The more common synonym for "undividable," meaning incapable of being divided.
  • "One nation, indivisible..." is a phrase from the U.S. Pledge of Allegiance.
• Indivisibility (n): The quality or state of being indivisible.
  • The indivisibility of human rights is a key principle.

Synonyms

• Indivisible: Not able to be divided or separated.
• Inseparable: Unable to be separated or treated separately.
• Unitary: Forming a single or uniform entity.

Antonyms

• Divisible: Capable of being divided.
• Separable: Able to be divided or disconnected.
• Fragmentable: Capable of being broken into fragments.

Notes on Usage

• "Undividable" is less frequently used than its synonym "indivisible." In most modern contexts, especially formal writing, "indivisible" is preferred.
• The word is often found in legal, philosophical, and mathematical texts to emphasize the absolute unity or prime nature of something.

Adjective

1. cannot be divided without leaving a remainder