What is prime factorization?

Prime factorization expresses an integer as a product of prime numbers. Every integer greater than 1 has a unique prime factorization.

Does 1 have a prime factorization?

No. The number 1 does not have any prime factors.

Yes. This page shows negative values as -1 multiplied by the prime factorization of the absolute value.

Decompose an integer into prime factors and review divisor counts in one place.

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Prime factorization is unique for every integer greater than `1`.
Negative values are shown with a `-1` prefix followed by prime factors of the absolute value.
`0` and `1` do not have prime factorizations.

What is prime factorization? It is the expression of an integer as a product of prime numbers.
Does 1 have a prime factorization? No. `1` has no prime factors.
Can negative numbers be factorized? Yes. They are shown as `-1` times the factorization of the absolute value.

Test whether a number is prime and inspect nearby primes.

Find the largest divisor shared by multiple integers.

Find the smallest multiple shared by multiple integers.

Simplify fractions using common factors and divisors.