Factors of 343

All factors of 343

Here are all 4 factors of 343, listed from smallest to largest.

Factor pairs of 343

These 2 pairs of whole numbers each multiply to give 343.

Prime factorization of 343

Dividing 343 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 343 are 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 343

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

Properties of 343

What makes 343 interesting

• 343 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
• 343 is a perfect cube: 7 × 7 × 7 = 343.
• 343 is a deficient number: its proper factors sum to 57, which is 286 less than 343 itself.
• 343 is a prime power: it is 7 raised to the power of 3. All of its factors are powers of 7.

How to find the factors of 343 yourself

Divide 343 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 √343 ≈ 18.52, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 7, 49, 343. The factor calculator does this automatically for any number.