Factors of 588
The factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, and 588. In total, 588 has 18 factors. Its prime factorization is 2² × 3 × 7², and the sum of all its factors is 1596.
All factors of 588
Here are all 18 factors of 588, listed from smallest to largest.
Factor pairs of 588
These 9 pairs of whole numbers each multiply to give 588.
Prime factorization of 588
Dividing 588 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 588 are 2, 3, 7. To factorize any other number, use the prime factorization calculator.
Factor tree of 588
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 588
| Number of factors | 18 |
|---|---|
| Sum of factors | 1596 |
| Sum of proper factors | 1008 |
| Prime factorization | 2² × 3 × 7² |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 588 interesting
- 588 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 9 different ways.
- 588 is an abundant number: its proper factors sum to 1008, which is 420 more than 588 itself.
- 588 has 3 distinct prime factors (2, 3, 7), which is why it has so many divisors.
How to find the factors of 588 yourself
Divide 588 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 √588 ≈ 24.25, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 588.
Frequently asked questions about 588
What are the factors of 588?
Is 588 a prime number?
What is the prime factorization of 588?
What two numbers multiply to give 588?
What is the sum of the factors of 588?
Is 588 a perfect square?
What is the largest factor of 588 other than itself?
How many factors does 588 have?
Explore more
Try another number in the factor calculator, break 588 down further with the prime factorization calculator, or compare 588 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.