Factors of 813
The factors of 813 are 1, 3, 271, and 813. In total, 813 has 4 factors. Its prime factorization is 3 × 271, and the sum of all its factors is 1088.
All factors of 813
Here are all 4 factors of 813, listed from smallest to largest.
Factor pairs of 813
These 2 pairs of whole numbers each multiply to give 813.
Prime factorization of 813
Dividing 813 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 813 are 3, 271. To factorize any other number, use the prime factorization calculator.
Factor tree of 813
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 813
| Number of factors | 4 |
|---|---|
| Sum of factors | 1088 |
| Sum of proper factors | 275 |
| Prime factorization | 3 × 271 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 813 interesting
- 813 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.
- 813 is a deficient number: its proper factors sum to 275, which is 538 less than 813 itself.
How to find the factors of 813 yourself
Divide 813 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 √813 ≈ 28.51, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 271, 813. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 813.
Frequently asked questions about 813
What are the factors of 813?
Is 813 a prime number?
What is the prime factorization of 813?
What two numbers multiply to give 813?
What is the sum of the factors of 813?
Is 813 a perfect square?
What is the largest factor of 813 other than itself?
How many factors does 813 have?
Explore more
Try another number in the factor calculator, break 813 down further with the prime factorization calculator, or compare 813 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.