Factors of 803
The factors of 803 are 1, 11, 73, and 803. In total, 803 has 4 factors. Its prime factorization is 11 × 73, and the sum of all its factors is 888.
All factors of 803
Here are all 4 factors of 803, listed from smallest to largest.
Factor pairs of 803
These 2 pairs of whole numbers each multiply to give 803.
Prime factorization of 803
Dividing 803 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 803 are 11, 73. To factorize any other number, use the prime factorization calculator.
Factor tree of 803
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 803
| Number of factors | 4 |
|---|---|
| Sum of factors | 888 |
| Sum of proper factors | 85 |
| Prime factorization | 11 × 73 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 803 interesting
- 803 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.
- 803 is a deficient number: its proper factors sum to 85, which is 718 less than 803 itself.
How to find the factors of 803 yourself
Divide 803 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 √803 ≈ 28.34, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 11, 73, 803. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 803.
Frequently asked questions about 803
What are the factors of 803?
Is 803 a prime number?
What is the prime factorization of 803?
What two numbers multiply to give 803?
What is the sum of the factors of 803?
Is 803 a perfect square?
What is the largest factor of 803 other than itself?
How many factors does 803 have?
Explore more
Try another number in the factor calculator, break 803 down further with the prime factorization calculator, or compare 803 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.