Factors of 584
The factors of 584 are 1, 2, 4, 8, 73, 146, 292, and 584. In total, 584 has 8 factors. Its prime factorization is 2³ × 73, and the sum of all its factors is 1110.
All factors of 584
Here are all 8 factors of 584, listed from smallest to largest.
Factor pairs of 584
These 4 pairs of whole numbers each multiply to give 584.
Prime factorization of 584
Dividing 584 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 584 are 2, 73. To factorize any other number, use the prime factorization calculator.
Factor tree of 584
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 584
| Number of factors | 8 |
|---|---|
| Sum of factors | 1110 |
| Sum of proper factors | 526 |
| Prime factorization | 2³ × 73 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 584 interesting
- 584 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
- 584 is a deficient number: its proper factors sum to 526, which is 58 less than 584 itself.
How to find the factors of 584 yourself
Divide 584 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 √584 ≈ 24.17, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 73, 146, 292, 584. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 584.
Frequently asked questions about 584
What are the factors of 584?
Is 584 a prime number?
What is the prime factorization of 584?
What two numbers multiply to give 584?
What is the sum of the factors of 584?
Is 584 a perfect square?
What is the largest factor of 584 other than itself?
How many factors does 584 have?
Explore more
Try another number in the factor calculator, break 584 down further with the prime factorization calculator, or compare 584 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.