KnowraTrial divisionLinked fromLinked fromThe 12 pages that link to Trial division, each with the reason it gives.All 12Related 5Compared with 7Prime numberRelated: No composite number can evade a factor at or below its square root.Prime factorizationRelated: Repeated trial division finds factors until only primes remain.Integer factorizationRelated: It is the simplest method and gives a baseline for measuring faster algorithms.Primality testRelated: It gives a simple deterministic baseline and shows why testing every possible divisor is inefficient.Composite numberRelated: Checking possible divisors up to the square root can establish compositeness.Mersenne primeCompared with: It becomes infeasible for Mersenne candidates whose digits number in the millions.Sieve of EratosthenesCompared with: Unlike the sieve, it tests numbers individually rather than eliminating shared multiples.AKS primality testCompared with: Trial division is simple but takes exponential time in the input's bit length.Wilson's theoremCompared with: Trial division is far more practical than computing the factorial in Wilson's test.Divisibility ruleCompared with: A divisibility rule can speed individual checks, while trial division systematically tests candidates.Agoh–Giuga conjectureCompared with: It offers a practical elementary alternative to evaluating the conjecture's enormous power sum.Proth's theoremCompared with: Proth's criterion avoids exhaustive divisor checks for eligible candidates.