Is 1509 a prime number?
No, 1509 is not a prime number. It is divisible by 3: 1509 = 3 × 503.
Is 1509 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 √1509 ≈ 38.85. If none of them divides 1509, it is prime.
- 3
3 divides 1509 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1509 = 3 \times 503 \]
Testing 1509 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1509 ÷ 2 | leaves 1 |
| 3 | 1509 ÷ 3 | divides exactly (503) |
| 5 | 1509 ÷ 5 | leaves 4 |
| 7 | 1509 ÷ 7 | leaves 4 |
| 11 | 1509 ÷ 11 | leaves 2 |
| 13 | 1509 ÷ 13 | leaves 1 |
| 17 | 1509 ÷ 17 | leaves 13 |
| 19 | 1509 ÷ 19 | leaves 8 |
| 23 | 1509 ÷ 23 | leaves 14 |
| 29 | 1509 ÷ 29 | leaves 1 |
| 31 | 1509 ÷ 31 | leaves 21 |
| 37 | 1509 ÷ 37 | leaves 29 |
Questions
Is 1509 a prime number?
No, 1509 is not a prime number. It is divisible by 3: 1509 = 3 × 503.
What is the next prime after 1509?
1511.
What is the prime number before 1509?
1499.
What are the factors of 1509?
1, 3, 503, 1509.