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.
Factor pairs of 399
These 4 pairs of whole numbers each multiply to give 399.
Prime factorization of 399
Dividing 399 by the smallest prime at each step gives its prime factorization:
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.
Properties of 399
| Number of factors | 8 |
|---|---|
| Sum of factors | 640 |
| Sum of proper factors | 241 |
| Prime factorization | 3 × 7 × 19 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
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 √399 ≈ 19.97, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 7, 19, 21, 57, 133, 399. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 399.
Frequently asked questions about 399
What are the factors of 399?
Is 399 a prime number?
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What two numbers multiply to give 399?
What is the sum of the factors of 399?
Is 399 a perfect square?
What is the largest factor of 399 other than itself?
How many factors does 399 have?
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.