Factors of 378

All factors of 378

Here are all 16 factors of 378, listed from smallest to largest.

Factor pairs of 378

These 8 pairs of whole numbers each multiply to give 378.

Prime factorization of 378

Dividing 378 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 378 are 2, 3, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 378

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

Properties of 378

What makes 378 interesting

• 378 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.
• 378 is an abundant number: its proper factors sum to 582, which is 204 more than 378 itself.
• 378 is a triangular number — it is the sum of the first 27 whole numbers (1 + 2 + … + 27 = 378).
• 378 has 3 distinct prime factors (2, 3, 7), which is why it has so many divisors.

How to find the factors of 378 yourself

Divide 378 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 √378 ≈ 19.44, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378. The factor calculator does this automatically for any number.