Is 3504 a prime number?
No, 3504 is not a prime number. It is divisible by 2: 3504 = 2 × 1752.
Is 3504 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 √3504 ≈ 59.19. If none of them divides 3504, it is prime.
- 3
2 divides 3504 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3504 = 2^{4} \times 3 \times 73 \]Testing 3504 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3504 ÷ 2 | divides exactly (1752) |
| 3 | 3504 ÷ 3 | divides exactly (1168) |
| 5 | 3504 ÷ 5 | leaves 4 |
| 7 | 3504 ÷ 7 | leaves 4 |
| 11 | 3504 ÷ 11 | leaves 6 |
| 13 | 3504 ÷ 13 | leaves 7 |
| 17 | 3504 ÷ 17 | leaves 2 |
| 19 | 3504 ÷ 19 | leaves 8 |
| 23 | 3504 ÷ 23 | leaves 8 |
| 29 | 3504 ÷ 29 | leaves 24 |
| 31 | 3504 ÷ 31 | leaves 1 |
| 37 | 3504 ÷ 37 | leaves 26 |
Questions
Is 3504 a prime number?
No, 3504 is not a prime number. It is divisible by 2: 3504 = 2 × 1752.
What is the next prime after 3504?
3511.
What is the prime number before 3504?
3499.
What are the factors of 3504?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752, 3504.