indivisible by

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indivisible by

Seven is indivisible by two.

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.
indivisible by

Seven is indivisible by two.

Adjective
  1. cannot be divided without leaving a remainder

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