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SubjectsMathematicsArithmeticChapter 1 — Number System1.1 Divisibility Rules

Topic 1.1 · Mathematics · Number System

Divisibility Rules

Divisibility Rules is studied as part of "Number System" (Arithmetic) in Mathematics. Divisibility, HCF-LCM, surds, indices and simplification are the building blocks of all quantitative aptitude.

In the examination context, divisibility rules carries conceptual questions that test both factual recall and analytical understanding. Revise this topic in sequence with the rest of the chapter so that chronological and thematic links are clear.

Important Facts

Divisibility by 9
Sum of digits divisible by 9
HCF
Highest Common Factor
LCM
Least Common Multiple
Unit digit
Determined by cyclicity of the last digit

Key Points

  • Divisibility by 9 — Sum of digits divisible by 9
  • HCF — Highest Common Factor
  • LCM — Least Common Multiple
  • Unit digit — Determined by cyclicity of the last digit

Important Names

AryabhataBrahmagupta

Important Dates

c. 628Brahmagupta wrote on zero and negatives
Exam-Oriented Notes
  • »Product of two numbers = HCF × LCM. Use cyclicity to find unit digits quickly.

Related topics

1.2 HCF & LCM1.3 Surds, Indices & Powers1.4 Simplification & Approximation
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