Table of prime factors

The tables contain the prime factorization of the natural numbers from 1 to 1000.

When n is a prime number, the prime factorization is just n itself, written in bold below.

The number 1 is called a unit.

Many properties of a natural number n can be seen or directly computed from the prime factorization of n. The divisors of n are all products of some or all prime factors of n (including the empty product 1 of no prime factors).

The number of divisors can be computed by increasing all multiplicities by 1 and then multiplying them.