Factors of 357

All factors of 357

Here are all 8 factors of 357, listed from smallest to largest.

Factor pairs of 357

These 4 pairs of whole numbers each multiply to give 357.

Prime factorization of 357

Dividing 357 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 357 are 3, 7, 17. To factorize any other number, use the prime factorization calculator.

Factor tree of 357

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

Properties of 357

What makes 357 interesting

• 357 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.
• 357 is a deficient number: its proper factors sum to 219, which is 138 less than 357 itself.
• 357 has 3 distinct prime factors (3, 7, 17), which is why it has so many divisors.

How to find the factors of 357 yourself

Divide 357 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 √357 ≈ 18.89, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 3, 7, 17, 21, 51, 119, 357. The factor calculator does this automatically for any number.