Factors of 508
The factors of 508 are 1, 2, 4, 127, 254, and 508. In total, 508 has 6 factors. Its prime factorization is 2² × 127, and the sum of all its factors is 896.
All factors of 508
Here are all 6 factors of 508, listed from smallest to largest.
Factor pairs of 508
These 3 pairs of whole numbers each multiply to give 508.
Prime factorization of 508
Dividing 508 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 508 are 2, 127. To factorize any other number, use the prime factorization calculator.
Factor tree of 508
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 508
| Number of factors | 6 |
|---|---|
| Sum of factors | 896 |
| Sum of proper factors | 388 |
| Prime factorization | 2² × 127 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 508 interesting
- 508 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.
- 508 is a deficient number: its proper factors sum to 388, which is 120 less than 508 itself.
How to find the factors of 508 yourself
Divide 508 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 √508 ≈ 22.54, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 127, 254, 508. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 508.
Frequently asked questions about 508
What are the factors of 508?
Is 508 a prime number?
What is the prime factorization of 508?
What two numbers multiply to give 508?
What is the sum of the factors of 508?
Is 508 a perfect square?
What is the largest factor of 508 other than itself?
How many factors does 508 have?
Explore more
Try another number in the factor calculator, break 508 down further with the prime factorization calculator, or compare 508 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.