Factor Calculator

Factors of 939

The factors of 939 are 1, 3, 313, and 939. In total, 939 has 4 factors. Its prime factorization is 3 × 313, and the sum of all its factors is 1256.

All factors of 939

Here are all 4 factors of 939, listed from smallest to largest.

13313939

Factor pairs of 939

These 2 pairs of whole numbers each multiply to give 939.

1 × 939 = 939
3 × 313 = 939

Prime factorization of 939

Dividing 939 by the smallest prime at each step gives its prime factorization:

939 ÷ 3 = 313
313 ÷ 313 = 1
Result: 939 = 3 × 313 = 3 × 313

The distinct prime factors of 939 are 3, 313. To factorize any other number, use the prime factorization calculator.

Factor tree of 939

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

Factor tree of 9399393313
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 939

Number of factors4
Sum of factors1256
Sum of proper factors317
Prime factorization3 × 313
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 939 interesting

  • 939 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.
  • 939 is a deficient number: its proper factors sum to 317, which is 622 less than 939 itself.

How to find the factors of 939 yourself

Divide 939 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 √93930.64, because every factor above that pairs with one below it.

939 ÷ 1 = 939
939 ÷ 3 = 313

Reading both columns gives every factor: 1, 3, 313, 939. The factor calculator does this automatically for any number.

Frequently asked questions about 939

What are the factors of 939?

The factors of 939 are 1, 3, 313, and 939. That is 4 factors in total, counting both 1 and 939.

Is 939 a prime number?

No, 939 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 939 is also divisible by 3.

What is the prime factorization of 939?

The prime factorization of 939 is 3 × 313. Written out in full: 3 × 313 = 939. Its distinct prime factors are 3, 313.

What two numbers multiply to give 939?

There are 2 pairs of whole numbers that multiply to 939: 1 × 939, 3 × 313.

What is the sum of the factors of 939?

Adding all the factors of 939 together gives 1256. Excluding 939 itself, the proper factors sum to 317.

Is 939 a perfect square?

No, 939 is not a perfect square. There is no whole number that multiplies by itself to give 939. The nearest perfect squares are 900 and 961.

What is the largest factor of 939 other than itself?

The largest factor of 939 apart from 939 itself is 313, since 939 ÷ 313 = 3.

How many factors does 939 have?

939 has 4 factors: 1, 3, 313, and 939. You can verify this from the prime factorization 3 × 313: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 939 down further with the prime factorization calculator, or compare 939 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.