Factors of 504
The factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, and 504. In total, 504 has 24 factors. Its prime factorization is 2³ × 3² × 7, and the sum of all its factors is 1560.
All factors of 504
Here are all 24 factors of 504, listed from smallest to largest.
Factor pairs of 504
These 12 pairs of whole numbers each multiply to give 504.
Prime factorization of 504
Dividing 504 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 504 are 2, 3, 7. To factorize any other number, use the prime factorization calculator.
Factor tree of 504
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 504
| Number of factors | 24 |
|---|---|
| Sum of factors | 1560 |
| Sum of proper factors | 1056 |
| Prime factorization | 2³ × 3² × 7 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 504 interesting
- 504 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 12 different ways.
- 504 is an abundant number: its proper factors sum to 1056, which is 552 more than 504 itself.
- 504 has 3 distinct prime factors (2, 3, 7), which is why it has so many divisors.
How to find the factors of 504 yourself
Divide 504 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 √504 ≈ 22.45, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 504.
Frequently asked questions about 504
What are the factors of 504?
Is 504 a prime number?
What is the prime factorization of 504?
What two numbers multiply to give 504?
What is the sum of the factors of 504?
Is 504 a perfect square?
What is the largest factor of 504 other than itself?
How many factors does 504 have?
Explore more
Try another number in the factor calculator, break 504 down further with the prime factorization calculator, or compare 504 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.