Real Numbers

x = p1^a1 × p2^a2 × ... × pn^an

HCF(a, b) = Product of LOWEST powers of common prime factors

LCM(a, b) = Product of HIGHEST powers of ALL prime factors

HCF(a, b) × LCM(a, b) = a × b

If p | a² then p | a (where p is prime, a is a positive integer)

p/q is terminating ⟺ q = 2^m × 5^n (m, n ≥ 0, non-negative integers)

p/q is non-terminating repeating ⟺ q has prime factors other than 2 and 5