Factor Calculator

Factors of 39

The factors of 39 are 1, 3, 13, and 39. In total, 39 has 4 factors. Its prime factorization is 3 × 13, and the sum of all its factors is 56.

All factors of 39

Here are all 4 factors of 39, listed from smallest to largest.

131339

Factor pairs of 39

These 2 pairs of whole numbers each multiply to give 39.

1 × 39 = 39
3 × 13 = 39

Prime factorization of 39

Dividing 39 by the smallest prime at each step gives its prime factorization:

39 ÷ 3 = 13
13 ÷ 13 = 1
Result: 39 = 3 × 13 = 3 × 13

The distinct prime factors of 39 are 3, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 39

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

Factor tree of 3939313
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 39

Number of factors4
Sum of factors56
Sum of proper factors17
Prime factorization3 × 13
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 39 interesting

  • 39 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.
  • 39 is a deficient number: its proper factors sum to 17, which is 22 less than 39 itself.

How to find the factors of 39 yourself

Divide 39 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 √396.24, because every factor above that pairs with one below it.

39 ÷ 1 = 39
39 ÷ 3 = 13

Reading both columns gives every factor: 1, 3, 13, 39. The factor calculator does this automatically for any number.

Frequently asked questions about 39

What are the factors of 39?

The factors of 39 are 1, 3, 13, and 39. That is 4 factors in total, counting both 1 and 39.

Is 39 a prime number?

No, 39 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 39 is also divisible by 3.

What is the prime factorization of 39?

The prime factorization of 39 is 3 × 13. Written out in full: 3 × 13 = 39. Its distinct prime factors are 3, 13.

What two numbers multiply to give 39?

There are 2 pairs of whole numbers that multiply to 39: 1 × 39, 3 × 13.

What is the sum of the factors of 39?

Adding all the factors of 39 together gives 56. Excluding 39 itself, the proper factors sum to 17.

Is 39 a perfect square?

No, 39 is not a perfect square. There is no whole number that multiplies by itself to give 39. The nearest perfect squares are 36 and 49.

What is the largest factor of 39 other than itself?

The largest factor of 39 apart from 39 itself is 13, since 39 ÷ 13 = 3.

How many factors does 39 have?

39 has 4 factors: 1, 3, 13, and 39. You can verify this from the prime factorization 3 × 13: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 39 down further with the prime factorization calculator, or compare 39 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.