Planlar

Asal çarpanlara ayırma hesaplayıcısı

Asal çarpanlarını görmek için 2 ile 1,000,000,000,000 arasında bir tam sayı gir.

Sonuç

Değerleri girin ve sonucu görmek için Hesapla’ya dokunun.

Formül

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.

Bu hesap makinesi nasıl kullanılır

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

Çözümlü örnek

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.

Sık sorulan sorular

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.

Daha fazla bilgi