Master Number Theorywith Aarti Agarwal
The queen of mathematics — prime numbers, divisibility, HCF/LCM, and patterns. Foundation for competitive math olympiads and advanced problem solving.
Book FREE Demo ClassWhat You'll Learn
Prime numbers
Divisibility rules
HCF and LCM
Modular arithmetic
Number patterns
Real numbers
Why Number Theory Matters
Number theory is the foundation of mathematical thinking. Olympiad questions heavily rely on number theory concepts, and it develops deep logical reasoning.
Key Formulas
a = bq + r (Division algorithm)
Euclid's division lemma
HCF × LCM = Product of numbers
HCF-LCM relationship
a ≡ b (mod n)
Modular congruence
Every composite number = product of primes
Fundamental theorem of arithmetic
Number Theory Across Class Levels
Class 6-8: Factors, multiples, HCF, LCM, divisibility
Class 9-10: Real numbers, irrational numbers, Euclid's algorithm
Olympiad: Modular arithmetic, Fermat's little theorem
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