Factors of 1071

All factors of 1071

Here are all 12 factors of 1071, listed from smallest to largest.

Factor pairs of 1071

These 6 pairs of whole numbers each multiply to give 1071.

Prime factorization of 1071

Dividing 1071 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 1071 are 3, 7, 17. To factorize any other number, use the prime factorization calculator.

Factor tree of 1071

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

Properties of 1071

What makes 1071 interesting

• 1071 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
• 1071 is a deficient number: its proper factors sum to 801, which is 270 less than 1071 itself.
• 1071 has 3 distinct prime factors (3, 7, 17), which is why it has so many divisors.

How to find the factors of 1071 yourself

Divide 1071 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 √1071 ≈ 32.73, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357, 1071. The factor calculator does this automatically for any number.