Factors of 102

All factors of 102

Here are all 8 factors of 102, listed from smallest to largest.

Factor pairs of 102

These 4 pairs of whole numbers each multiply to give 102.

Prime factorization of 102

Dividing 102 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 102 are 2, 3, 17. To factorize any other number, use the prime factorization calculator.

Factor tree of 102

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

Properties of 102

What makes 102 interesting

• 102 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.
• 102 is an abundant number: its proper factors sum to 114, which is 12 more than 102 itself.
• 102 has 3 distinct prime factors (2, 3, 17), which is why it has so many divisors.

How to find the factors of 102 yourself

Divide 102 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 √102 ≈ 10.10, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 3, 6, 17, 34, 51, 102. The factor calculator does this automatically for any number.