Factors of 345

All factors of 345

Here are all 8 factors of 345, listed from smallest to largest.

Factor pairs of 345

These 4 pairs of whole numbers each multiply to give 345.

Prime factorization of 345

Dividing 345 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 345 are 3, 5, 23. To factorize any other number, use the prime factorization calculator.

Factor tree of 345

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

Properties of 345

What makes 345 interesting

• 345 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.
• 345 is a deficient number: its proper factors sum to 231, which is 114 less than 345 itself.
• 345 has 3 distinct prime factors (3, 5, 23), which is why it has so many divisors.

How to find the factors of 345 yourself

Divide 345 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 √345 ≈ 18.57, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 3, 5, 15, 23, 69, 115, 345. The factor calculator does this automatically for any number.