Factors of 513
The factors of 513 are 1, 3, 9, 19, 27, 57, 171, and 513. In total, 513 has 8 factors. Its prime factorization is 3³ × 19, and the sum of all its factors is 800.
All factors of 513
Here are all 8 factors of 513, listed from smallest to largest.
Factor pairs of 513
These 4 pairs of whole numbers each multiply to give 513.
Prime factorization of 513
Dividing 513 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 513 are 3, 19. To factorize any other number, use the prime factorization calculator.
Factor tree of 513
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 513
| Number of factors | 8 |
|---|---|
| Sum of factors | 800 |
| Sum of proper factors | 287 |
| Prime factorization | 3³ × 19 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 513 interesting
- 513 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.
- 513 is a deficient number: its proper factors sum to 287, which is 226 less than 513 itself.
How to find the factors of 513 yourself
Divide 513 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 √513 ≈ 22.65, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 9, 19, 27, 57, 171, 513. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 513.
Frequently asked questions about 513
What are the factors of 513?
Is 513 a prime number?
What is the prime factorization of 513?
What two numbers multiply to give 513?
What is the sum of the factors of 513?
Is 513 a perfect square?
What is the largest factor of 513 other than itself?
How many factors does 513 have?
Explore more
Try another number in the factor calculator, break 513 down further with the prime factorization calculator, or compare 513 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.