Factors of 502
The factors of 502 are 1, 2, 251, and 502. In total, 502 has 4 factors. Its prime factorization is 2 × 251, and the sum of all its factors is 756.
All factors of 502
Here are all 4 factors of 502, listed from smallest to largest.
Factor pairs of 502
These 2 pairs of whole numbers each multiply to give 502.
Prime factorization of 502
Dividing 502 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 502 are 2, 251. To factorize any other number, use the prime factorization calculator.
Factor tree of 502
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 502
| Number of factors | 4 |
|---|---|
| Sum of factors | 756 |
| Sum of proper factors | 254 |
| Prime factorization | 2 × 251 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 502 interesting
- 502 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
- 502 is a deficient number: its proper factors sum to 254, which is 248 less than 502 itself.
How to find the factors of 502 yourself
Divide 502 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 √502 ≈ 22.41, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 251, 502. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 502.
Frequently asked questions about 502
What are the factors of 502?
Is 502 a prime number?
What is the prime factorization of 502?
What two numbers multiply to give 502?
What is the sum of the factors of 502?
Is 502 a perfect square?
What is the largest factor of 502 other than itself?
How many factors does 502 have?
Explore more
Try another number in the factor calculator, break 502 down further with the prime factorization calculator, or compare 502 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.