51 · Calculators

Prime Factorization Calculator

Enter a whole number to see its prime factors, whether it’s prime, and how many divisors it has.

Up to 1,000,000,000,000.

Prime factorization

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How to use the prime factorization calculator

  1. Enter a whole number of 2 or more.
  2. Read the prime factorization.
  3. See whether it is prime.

Prime factors

Every whole number above 1 is either prime or a unique product of primes. 360 = 2 × 2 × 2 × 3 × 3 × 5, written 2³ × 3² × 5. The number of divisors comes from the powers: (3+1)(2+1)(1+1) = 24.

Examples

360

2³ × 3² × 5 · 24 divisors

97

97 · prime

Questions

Is 1 prime?

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

How large a number can it handle?

Up to 1,000,000,000,000, which it factors almost instantly.