Definition

Adjective: cannot be divided without leaving a remainder; not exactly divisible by a given integer.

Usage

This adjective describes a specific mathematical relationship between two numbers. It is used to state that when one number (the dividend) is divided by another number (the divisor), the result is not a whole number; there is always a remainder. The typical structure is "X is indivisible by Y."

Examples

• Seven is indivisible by two.
• Any odd number is indivisible by two.
• The number 17 is indivisible by 5.

Advanced Usage

• The concept is fundamental in number theory and modular arithmetic.
• It is the logical opposite of "divisible by." For example, "10 is divisible by 5" is true, while "10 is indivisible by 3" is true.
• It can be used in more abstract or figurative contexts to imply something cannot be separated or apportioned. (e.g., )

Variants and Related Words

• Indivisible (Adjective): Unable to be divided or separated.
  • The nation declared itself an indivisible union.
• Prime (Adjective): A whole number greater than 1 that is indivisible by any whole number other than 1 and itself.
  • 7 is a prime number.

Synonyms

• Not divisible by
• Leaves a remainder when divided by

Antonyms

• Divisible by
• A multiple of

Related Phrases

• Leaves a remainder: Describes the outcome of the division.
  • 10 divided by 3 leaves a remainder of 1.

Adjective

1. cannot be divided without leaving a remainder