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Divisibility rule

A divisibility rule is a shorthand and useful way of determining whether a given integer is divisible by a fixed divisor without performing the division, usually by examining its digits. Although there are divisibility tests for numbers in any radix, or base, and they are all different, this article presents rules and examples only for decimal, or base…

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Step-by-step examples

If and only ifRemainderBase-twelveDigit sumNatural number
5 related topics

Beyond 30

PrimeTable of prime factorsCompositeRelatively prime
4 related topics

Proofs

BinomialsSum of each digit times a power of 10
2 related topics

Divisibility rules for numbers 1−30

30
1 related topics

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Overview

Divisibility rules for numbers 1−30

  • 30 Divisibility rule

Step-by-step examples

Beyond 30

Generalized divisibility rule

  • OEIS On-Line Encyclopedia of Integer Sequences

Proofs

Sources

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Divisibility rule

Nodes33
Edges32
Triples8
Avg. degree1.94
Density0.060606
Components1

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Divisibility rule

Top relations

related to External links · 2
Divisibility rule → Divisibility Criteria, Divisibility Tricks Divisibility
is a · 1
Divisibility rule → shorthand and useful way of determining whether a given integer is divisible by a fixed divisor without performing the division

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Important terminology

number divisible 10 digits digit divisibility example remainder original last method add multiple result first sum divided using rule numbers

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Divisibility ruleis ashorthand and useful way of determining whether a given integer is divisible by a fixed divisor without performing the division0.90text
MATHCOUNTSinstance ofThis method could be useful in a mathematics competition0.80text
where time is a factor to determine the solution without a calculator in the Sprint Round.Step Ainstance ofThis method could be useful in a mathematics competition0.80text
12-digitsinstance ofuse larger sets0.80text
the followinginstance ofin a number0.80text
we can replace all the powers of 10 by 1instance ofin a number0.80text
Divisibility rulerelated to External linksDivisibility Criteria0.60section
Divisibility rulerelated to External linksDivisibility Tricks Divisibility0.60section

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    Min side: 3
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