Factor Calculator

Factors of 339

The factors of 339 are 1, 3, 113, and 339. In total, 339 has 4 factors. Its prime factorization is 3 × 113, and the sum of all its factors is 456.

All factors of 339

Here are all 4 factors of 339, listed from smallest to largest.

13113339

Factor pairs of 339

These 2 pairs of whole numbers each multiply to give 339.

1 × 339 = 339
3 × 113 = 339

Prime factorization of 339

Dividing 339 by the smallest prime at each step gives its prime factorization:

339 ÷ 3 = 113
113 ÷ 113 = 1
Result: 339 = 3 × 113 = 3 × 113

The distinct prime factors of 339 are 3, 113. To factorize any other number, use the prime factorization calculator.

Factor tree of 339

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

Factor tree of 3393393113
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 339

Number of factors4
Sum of factors456
Sum of proper factors117
Prime factorization3 × 113
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 339 interesting

  • 339 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.
  • 339 is a deficient number: its proper factors sum to 117, which is 222 less than 339 itself.

How to find the factors of 339 yourself

Divide 339 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 √33918.41, because every factor above that pairs with one below it.

339 ÷ 1 = 339
339 ÷ 3 = 113

Reading both columns gives every factor: 1, 3, 113, 339. The factor calculator does this automatically for any number.

Frequently asked questions about 339

What are the factors of 339?

The factors of 339 are 1, 3, 113, and 339. That is 4 factors in total, counting both 1 and 339.

Is 339 a prime number?

No, 339 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 339 is also divisible by 3.

What is the prime factorization of 339?

The prime factorization of 339 is 3 × 113. Written out in full: 3 × 113 = 339. Its distinct prime factors are 3, 113.

What two numbers multiply to give 339?

There are 2 pairs of whole numbers that multiply to 339: 1 × 339, 3 × 113.

What is the sum of the factors of 339?

Adding all the factors of 339 together gives 456. Excluding 339 itself, the proper factors sum to 117.

Is 339 a perfect square?

No, 339 is not a perfect square. There is no whole number that multiplies by itself to give 339. The nearest perfect squares are 324 and 361.

What is the largest factor of 339 other than itself?

The largest factor of 339 apart from 339 itself is 113, since 339 ÷ 113 = 3.

How many factors does 339 have?

339 has 4 factors: 1, 3, 113, and 339. You can verify this from the prime factorization 3 × 113: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 339 down further with the prime factorization calculator, or compare 339 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.