Factors of 406

All factors of 406

Here are all 8 factors of 406, listed from smallest to largest.

Factor pairs of 406

These 4 pairs of whole numbers each multiply to give 406.

Prime factorization of 406

Dividing 406 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 406 are 2, 7, 29. To factorize any other number, use the prime factorization calculator.

Factor tree of 406

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

Properties of 406

What makes 406 interesting

• 406 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
• 406 is a deficient number: its proper factors sum to 314, which is 92 less than 406 itself.
• 406 is a triangular number — it is the sum of the first 28 whole numbers (1 + 2 + … + 28 = 406).
• 406 has 3 distinct prime factors (2, 7, 29), which is why it has so many divisors.

How to find the factors of 406 yourself

Divide 406 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 √406 ≈ 20.15, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 7, 14, 29, 58, 203, 406. The factor calculator does this automatically for any number.