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Glite Dictionary
divisibility

divisibility

1 6.3
Ability to be split into parts without anything left over or getting damaged
  • noun
  • /dɪˌvɪzəˈbɪlɪti/
translation icon : divisibilidad
  • In mathematics, understanding divisibility helps students determine whether one number can be divided by another without leaving a remainder.

In the case of prime division, what we have is the divisibility relation.

Examples

  • We have found this technique appropriate to generate code that handles divisibility constraints in integer linear arithmetic.

    Academic text (2012)

  • Remember your divisibility rules?

    To Your Last Death (2019)

  • My claim is that the language of modular arithmetic is often the best way to discuss divisibility properties in problems about whole numbers.

    Blog text (31)

  • We are interested in divisibility by some fixed integer and the remainders given after we divide by n.

    Blog text (31)

  • The apportionment issue surfaces again after the court has made this initial inquiry into the divisibility or indivisibility of the harm.

    Academic text (1991)

  • The divisibility rules for numbers like two, five, and ten are easy to remember and useful for quick calculations.

  • To test for divisibility by four, simply check if the last two digits of the number form a number that is divisible by four.

Synonyms

decomposability
vsdivisibility
8.2

How easily something breaks into smaller parts

emphasizes splitting into parts without remainder or damage

Antonyms

indivisibility
6.8

Cannot be separated into parts, for example rights or groups

Surface Forms

divisibility singular
divisibilities plural

Morphology

divisibility = divisible (transparent) = divide + ible + ity

Formed by adding the noun-forming suffix '-ity' to 'divisible', which itself is transparently 'divide' + '-ible', so the meaning 'the state of being able to be divided' is directly derived.

Etymology

The word divisibility comes from the Latin dividere, which means 'to separate', and it shares the root with the common word divide. So divisibility simply means the ability to be 'separated' into parts, which is why we use it for numbers, cakes, or an estate.