Factors of 852

All factors of 852

Here are all 12 factors of 852, listed from smallest to largest.

Factor pairs of 852

These 6 pairs of whole numbers each multiply to give 852.

Prime factorization of 852

Dividing 852 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 852 are 2, 3, 71. To factorize any other number, use the prime factorization calculator.

Factor tree of 852

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

Properties of 852

What makes 852 interesting

• 852 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.
• 852 is an abundant number: its proper factors sum to 1164, which is 312 more than 852 itself.
• 852 has 3 distinct prime factors (2, 3, 71), which is why it has so many divisors.

How to find the factors of 852 yourself

Divide 852 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 √852 ≈ 29.19, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852. The factor calculator does this automatically for any number.