Factors of 354

All factors of 354

Here are all 8 factors of 354, listed from smallest to largest.

Factor pairs of 354

These 4 pairs of whole numbers each multiply to give 354.

Prime factorization of 354

Dividing 354 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 354 are 2, 3, 59. To factorize any other number, use the prime factorization calculator.

Factor tree of 354

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

Properties of 354

What makes 354 interesting

• 354 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.
• 354 is an abundant number: its proper factors sum to 366, which is 12 more than 354 itself.
• 354 has 3 distinct prime factors (2, 3, 59), which is why it has so many divisors.

How to find the factors of 354 yourself

Divide 354 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 √354 ≈ 18.81, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 3, 6, 59, 118, 177, 354. The factor calculator does this automatically for any number.