Factors of 404

All factors of 404

Here are all 6 factors of 404, listed from smallest to largest.

Factor pairs of 404

These 3 pairs of whole numbers each multiply to give 404.

Prime factorization of 404

Dividing 404 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 404 are 2, 101. To factorize any other number, use the prime factorization calculator.

Factor tree of 404

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Properties of 404

What makes 404 interesting

• 404 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
• 404 is a deficient number: its proper factors sum to 310, which is 94 less than 404 itself.

How to find the factors of 404 yourself

Divide 404 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √404 ≈ 20.10, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 4, 101, 202, 404. The factor calculator does this automatically for any number.