Factors of 819
The factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, and 819. In total, 819 has 12 factors. Its prime factorization is 3² × 7 × 13, and the sum of all its factors is 1456.
All factors of 819
Here are all 12 factors of 819, listed from smallest to largest.
Factor pairs of 819
These 6 pairs of whole numbers each multiply to give 819.
Prime factorization of 819
Dividing 819 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 819 are 3, 7, 13. To factorize any other number, use the prime factorization calculator.
Factor tree of 819
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 819
| Number of factors | 12 |
|---|---|
| Sum of factors | 1456 |
| Sum of proper factors | 637 |
| Prime factorization | 3² × 7 × 13 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 819 interesting
- 819 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
- 819 is a deficient number: its proper factors sum to 637, which is 182 less than 819 itself.
- 819 has 3 distinct prime factors (3, 7, 13), which is why it has so many divisors.
How to find the factors of 819 yourself
Divide 819 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 √819 ≈ 28.62, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 819.
Frequently asked questions about 819
What are the factors of 819?
Is 819 a prime number?
What is the prime factorization of 819?
What two numbers multiply to give 819?
What is the sum of the factors of 819?
Is 819 a perfect square?
What is the largest factor of 819 other than itself?
How many factors does 819 have?
Explore more
Try another number in the factor calculator, break 819 down further with the prime factorization calculator, or compare 819 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.