Factors of 873
The factors of 873 are 1, 3, 9, 97, 291, and 873. In total, 873 has 6 factors. Its prime factorization is 3² × 97, and the sum of all its factors is 1274.
All factors of 873
Here are all 6 factors of 873, listed from smallest to largest.
Factor pairs of 873
These 3 pairs of whole numbers each multiply to give 873.
Prime factorization of 873
Dividing 873 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 873 are 3, 97. To factorize any other number, use the prime factorization calculator.
Factor tree of 873
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 873
| Number of factors | 6 |
|---|---|
| Sum of factors | 1274 |
| Sum of proper factors | 401 |
| Prime factorization | 3² × 97 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 873 interesting
- 873 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
- 873 is a deficient number: its proper factors sum to 401, which is 472 less than 873 itself.
How to find the factors of 873 yourself
Divide 873 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 √873 ≈ 29.55, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 9, 97, 291, 873. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 873.
Frequently asked questions about 873
What are the factors of 873?
Is 873 a prime number?
What is the prime factorization of 873?
What two numbers multiply to give 873?
What is the sum of the factors of 873?
Is 873 a perfect square?
What is the largest factor of 873 other than itself?
How many factors does 873 have?
Explore more
Try another number in the factor calculator, break 873 down further with the prime factorization calculator, or compare 873 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.