Number theory · Grade 11
In Grade 11 you learn: divisibility and primes.
Number theory studies the whole numbers: divisibility, primes, remainders and the patterns they make. It was once the purest of pure mathematics. Now it secures online payments, because modular arithmetic makes some calculations easy one way and practically impossible to reverse.
Key facts
- If n = pᵃ × qᵇ (p, q prime), n has (a + 1)(b + 1) positive divisors.
- lcm(a, b) = ab ÷ gcd(a, b).