Factors of 630

All factors of 630

Here are all 24 factors of 630, listed from smallest to largest.

Factor pairs of 630

These 12 pairs of whole numbers each multiply to give 630.

Prime factorization of 630

Dividing 630 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 630 are 2, 3, 5, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 630

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

Properties of 630

What makes 630 interesting

• 630 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 12 different ways.
• 630 is an abundant number: its proper factors sum to 1242, which is 612 more than 630 itself.
• 630 is a triangular number — it is the sum of the first 35 whole numbers (1 + 2 + … + 35 = 630).
• 630 has 4 distinct prime factors (2, 3, 5, 7), which is why it has so many divisors.

How to find the factors of 630 yourself

Divide 630 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 √630 ≈ 25.10, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630. The factor calculator does this automatically for any number.