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Factors (or divisors) of a number n are all integers that divide n exactly with no remainder. Prime factorization expresses n as a product of prime numbers — unique for every integer greater than 1 (Fundamental Theorem of Arithmetic).

Пошаговое руководство

  1. 1Trial division: test divisibility by 2, then odd numbers up to √n
  2. 2If divisible, it's a factor — add both divisor and quotient
  3. 3Prime factorization: keep dividing by the smallest prime factor
  4. 4Number of factors = product of (exponent + 1) for each prime factor

Решённые примеры

Ввод
Factors of 36
Результат
1, 2, 3, 4, 6, 9, 12, 18, 36
36 = 2² × 3² → (2+1)(2+1) = 9 factors
Ввод
Prime factorization of 360
Результат
2³ × 3² × 5
360 = 8 × 9 × 5

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