Factors of 807
The factors of 807 are 1, 3, 269, and 807. In total, 807 has 4 factors. Its prime factorization is 3 × 269, and the sum of all its factors is 1080.
All factors of 807
Here are all 4 factors of 807, listed from smallest to largest.
Factor pairs of 807
These 2 pairs of whole numbers each multiply to give 807.
Prime factorization of 807
Dividing 807 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 807 are 3, 269. To factorize any other number, use the prime factorization calculator.
Factor tree of 807
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 807
| Number of factors | 4 |
|---|---|
| Sum of factors | 1080 |
| Sum of proper factors | 273 |
| Prime factorization | 3 × 269 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 807 interesting
- 807 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.
- 807 is a deficient number: its proper factors sum to 273, which is 534 less than 807 itself.
How to find the factors of 807 yourself
Divide 807 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 √807 ≈ 28.41, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 269, 807. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 807.
Frequently asked questions about 807
What are the factors of 807?
Is 807 a prime number?
What is the prime factorization of 807?
What two numbers multiply to give 807?
What is the sum of the factors of 807?
Is 807 a perfect square?
What is the largest factor of 807 other than itself?
How many factors does 807 have?
Explore more
Try another number in the factor calculator, break 807 down further with the prime factorization calculator, or compare 807 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.