Factor Calculator

Factors of 399

The factors of 399 are 1, 3, 7, 19, 21, 57, 133, and 399. In total, 399 has 8 factors. Its prime factorization is 3 × 7 × 19, and the sum of all its factors is 640.

All factors of 399

Here are all 8 factors of 399, listed from smallest to largest.

137192157133399

Factor pairs of 399

These 4 pairs of whole numbers each multiply to give 399.

1 × 399 = 399
3 × 133 = 399
7 × 57 = 399
19 × 21 = 399

Prime factorization of 399

Dividing 399 by the smallest prime at each step gives its prime factorization:

399 ÷ 3 = 133
133 ÷ 7 = 19
19 ÷ 19 = 1
Result: 399 = 3 × 7 × 19 = 3 × 7 × 19

The distinct prime factors of 399 are 3, 7, 19. To factorize any other number, use the prime factorization calculator.

Factor tree of 399

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

Factor tree of 3993993133719
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 399

Number of factors8
Sum of factors640
Sum of proper factors241
Prime factorization3 × 7 × 19
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 399 interesting

  • 399 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.
  • 399 is a deficient number: its proper factors sum to 241, which is 158 less than 399 itself.
  • 399 has 3 distinct prime factors (3, 7, 19), which is why it has so many divisors.

How to find the factors of 399 yourself

Divide 399 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 √39919.97, because every factor above that pairs with one below it.

399 ÷ 1 = 399
399 ÷ 3 = 133
399 ÷ 7 = 57
399 ÷ 19 = 21

Reading both columns gives every factor: 1, 3, 7, 19, 21, 57, 133, 399. The factor calculator does this automatically for any number.

Frequently asked questions about 399

What are the factors of 399?

The factors of 399 are 1, 3, 7, 19, 21, 57, 133, and 399. That is 8 factors in total, counting both 1 and 399.

Is 399 a prime number?

No, 399 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 399 is also divisible by 3.

What is the prime factorization of 399?

The prime factorization of 399 is 3 × 7 × 19. Written out in full: 3 × 7 × 19 = 399. Its distinct prime factors are 3, 7, 19.

What two numbers multiply to give 399?

There are 4 pairs of whole numbers that multiply to 399: 1 × 399, 3 × 133, 7 × 57, 19 × 21.

What is the sum of the factors of 399?

Adding all the factors of 399 together gives 640. Excluding 399 itself, the proper factors sum to 241.

Is 399 a perfect square?

No, 399 is not a perfect square. There is no whole number that multiplies by itself to give 399. The nearest perfect squares are 361 and 400.

What is the largest factor of 399 other than itself?

The largest factor of 399 apart from 399 itself is 133, since 399 ÷ 133 = 3.

How many factors does 399 have?

399 has 8 factors: 1, 3, 7, 19, 21, 57, 133, and 399. You can verify this from the prime factorization 3 × 7 × 19: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 399 down further with the prime factorization calculator, or compare 399 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.