Factors of 1006

All factors of 1006

Here are all 4 factors of 1006, listed from smallest to largest.

Factor pairs of 1006

These 2 pairs of whole numbers each multiply to give 1006.

Prime factorization of 1006

Dividing 1006 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 1006 are 2, 503. To factorize any other number, use the prime factorization calculator.

Factor tree of 1006

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

Properties of 1006

What makes 1006 interesting

• 1006 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
• 1006 is a deficient number: its proper factors sum to 506, which is 500 less than 1006 itself.

How to find the factors of 1006 yourself

Divide 1006 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 √1006 ≈ 31.72, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 503, 1006. The factor calculator does this automatically for any number.