Is 1504 a prime number?
No, 1504 is not a prime number. It is divisible by 2: 1504 = 2 × 752.
Is 1504 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 √1504 ≈ 38.78. If none of them divides 1504, it is prime.
- 3
2 divides 1504 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1504 = 2^{5} \times 47 \]Testing 1504 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1504 ÷ 2 | divides exactly (752) |
| 3 | 1504 ÷ 3 | leaves 1 |
| 5 | 1504 ÷ 5 | leaves 4 |
| 7 | 1504 ÷ 7 | leaves 6 |
| 11 | 1504 ÷ 11 | leaves 8 |
| 13 | 1504 ÷ 13 | leaves 9 |
| 17 | 1504 ÷ 17 | leaves 8 |
| 19 | 1504 ÷ 19 | leaves 3 |
| 23 | 1504 ÷ 23 | leaves 9 |
| 29 | 1504 ÷ 29 | leaves 25 |
| 31 | 1504 ÷ 31 | leaves 16 |
| 37 | 1504 ÷ 37 | leaves 24 |
Questions
Is 1504 a prime number?
No, 1504 is not a prime number. It is divisible by 2: 1504 = 2 × 752.
What is the next prime after 1504?
1511.
What is the prime number before 1504?
1499.
What are the factors of 1504?
1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504.