Factors of 210

All factors of 210

Here are all 16 factors of 210, listed from smallest to largest.

Factor pairs of 210

These 8 pairs of whole numbers each multiply to give 210.

Prime factorization of 210

Dividing 210 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 210 are 2, 3, 5, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 210

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

Properties of 210

What makes 210 interesting

• 210 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.
• 210 is an abundant number: its proper factors sum to 366, which is 156 more than 210 itself.
• 210 is a triangular number — it is the sum of the first 20 whole numbers (1 + 2 + … + 20 = 210).
• 210 has 4 distinct prime factors (2, 3, 5, 7), which is why it has so many divisors.

How to find the factors of 210 yourself

Divide 210 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 √210 ≈ 14.49, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210. The factor calculator does this automatically for any number.