Factors of 589
The factors of 589 are 1, 19, 31, and 589. In total, 589 has 4 factors. Its prime factorization is 19 × 31, and the sum of all its factors is 640.
All factors of 589
Here are all 4 factors of 589, listed from smallest to largest.
Factor pairs of 589
These 2 pairs of whole numbers each multiply to give 589.
Prime factorization of 589
Dividing 589 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 589 are 19, 31. To factorize any other number, use the prime factorization calculator.
Factor tree of 589
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 589
| Number of factors | 4 |
|---|---|
| Sum of factors | 640 |
| Sum of proper factors | 51 |
| Prime factorization | 19 × 31 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 589 interesting
- 589 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.
- 589 is a deficient number: its proper factors sum to 51, which is 538 less than 589 itself.
How to find the factors of 589 yourself
Divide 589 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 √589 ≈ 24.27, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 19, 31, 589. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 589.
Frequently asked questions about 589
What are the factors of 589?
Is 589 a prime number?
What is the prime factorization of 589?
What two numbers multiply to give 589?
What is the sum of the factors of 589?
Is 589 a perfect square?
What is the largest factor of 589 other than itself?
How many factors does 589 have?
Explore more
Try another number in the factor calculator, break 589 down further with the prime factorization calculator, or compare 589 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.