Factors of 952

All factors of 952

Here are all 16 factors of 952, listed from smallest to largest.

Factor pairs of 952

These 8 pairs of whole numbers each multiply to give 952.

Prime factorization of 952

Dividing 952 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 952 are 2, 7, 17. To factorize any other number, use the prime factorization calculator.

Factor tree of 952

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

Properties of 952

What makes 952 interesting

• 952 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
• 952 is an abundant number: its proper factors sum to 1208, which is 256 more than 952 itself.
• 952 has 3 distinct prime factors (2, 7, 17), which is why it has so many divisors.

How to find the factors of 952 yourself

Divide 952 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 √952 ≈ 30.85, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952. The factor calculator does this automatically for any number.