Tarife

Rechner für Primfaktorzerlegung

Gib eine ganze Zahl von 2 bis 1,000,000,000,000 ein, um ihre Primfaktoren zu sehen.

Ergebnis

Gib Werte ein und tippe auf Berechnen, um das Ergebnis zu sehen.

Formel

n=p1e1×p2e2×⋯n = p_1^{e_1} \times p_2^{e_2} \times \cdots

Every whole number above 1 is a product of primes in exactly one way (the fundamental theorem of arithmetic).

d(n)=(e1+1)(e2+1)⋯d(n) = (e_1 + 1)(e_2 + 1)\cdots

The number of divisors comes straight from the exponents.

So benutzt du diesen Rechner

  1. Enter the number without separators, e.g. 360.
  2. Press Calculate. Each step divides out one prime.

Gelöstes Beispiel

Prime factors of 360

360 ÷ 2³ = 45, 45 ÷ 3² = 5, and 5 is prime.

So 360 = 2³ × 3² × 5, with (3+1)(2+1)(1+1) = 24 divisors.

Häufig gestellte Fragen

What are the prime factors of 54 and of 24?

54 = 2 × 3³ (divide by 2 to get 27, then by 3 three times), and 24 = 2³ × 3 (halve three times to get 3). For all the factors, not just the primes, use the factors calculator.

Is 1 a prime number?

No. A prime has exactly two divisors, 1 and itself; 1 has only one.

Why is there an upper limit?

Factorising very large numbers takes a long time. Up to one trillion, the result is guaranteed and instant.

Mehr erfahren