Planes

Calculadora de factorización prima

Escribe un número entero de 2 a 1,000,000,000,000 para ver sus factores primos.

Resultado

Introduce los valores y pulsa Calcular para ver el resultado.

Fórmula

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.

Cómo usar esta calculadora

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

Ejemplo resuelto

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.

Preguntas frecuentes

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.

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