Is 504 a prime number?
No, 504 is not a prime number. It is divisible by 2: 504 = 2 × 252.
Is 504 prime?
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A prime number has exactly two factors: 1 and itself.
- 2
It is enough to test the primes up to √504 ≈ 22.45. If none of them divides 504, it is prime.
- 3
2 divides 504 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 504 = 2^{3} \times 3^{2} \times 7 \]Testing 504 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 504 ÷ 2 | divides exactly (252) |
| 3 | 504 ÷ 3 | divides exactly (168) |
| 5 | 504 ÷ 5 | leaves 4 |
| 7 | 504 ÷ 7 | divides exactly (72) |
| 11 | 504 ÷ 11 | leaves 9 |
| 13 | 504 ÷ 13 | leaves 10 |
| 17 | 504 ÷ 17 | leaves 11 |
| 19 | 504 ÷ 19 | leaves 10 |
Questions
Is 504 a prime number?
No, 504 is not a prime number. It is divisible by 2: 504 = 2 × 252.
What is the next prime after 504?
509.
What is the prime number before 504?
503.
What are the factors of 504?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504.