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Prime factorization calculator

Break a number into its prime factors, check whether it is prime, and list all its divisors.

Up to 9,007,199,254,740,991.

Divisors

So wird gerechnet

Divide by primes in turn

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What is prime factorization?

Writing a number as a product of prime numbers. Every whole number above 1 has exactly one prime factorization: 360 = 2³ × 3² × 5.

How is the number of divisors found?

Add 1 to each exponent and multiply. 360 = 2³ × 3² × 5¹ has (3+1)(2+1)(1+1) = 24 divisors.