Factors of 507
The factors of 507 are 1, 3, 13, 39, 169, and 507. In total, 507 has 6 factors. Its prime factorization is 3 × 13², and the sum of all its factors is 732.
All factors of 507
Here are all 6 factors of 507, listed from smallest to largest.
Factor pairs of 507
These 3 pairs of whole numbers each multiply to give 507.
Prime factorization of 507
Dividing 507 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 507 are 3, 13. To factorize any other number, use the prime factorization calculator.
Factor tree of 507
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 507
| Number of factors | 6 |
|---|---|
| Sum of factors | 732 |
| Sum of proper factors | 225 |
| Prime factorization | 3 × 13² |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 507 interesting
- 507 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.
- 507 is a deficient number: its proper factors sum to 225, which is 282 less than 507 itself.
How to find the factors of 507 yourself
Divide 507 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 √507 ≈ 22.52, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 13, 39, 169, 507. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 507.
Frequently asked questions about 507
What are the factors of 507?
Is 507 a prime number?
What is the prime factorization of 507?
What two numbers multiply to give 507?
What is the sum of the factors of 507?
Is 507 a perfect square?
What is the largest factor of 507 other than itself?
How many factors does 507 have?
Explore more
Try another number in the factor calculator, break 507 down further with the prime factorization calculator, or compare 507 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.