Is 3507 a prime number?
No, 3507 is not a prime number. It is divisible by 3: 3507 = 3 × 1169.
Is 3507 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 √3507 ≈ 59.22. If none of them divides 3507, it is prime.
- 3
3 divides 3507 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3507 = 3 \times 7 \times 167 \]
Testing 3507 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3507 ÷ 2 | leaves 1 |
| 3 | 3507 ÷ 3 | divides exactly (1169) |
| 5 | 3507 ÷ 5 | leaves 2 |
| 7 | 3507 ÷ 7 | divides exactly (501) |
| 11 | 3507 ÷ 11 | leaves 9 |
| 13 | 3507 ÷ 13 | leaves 10 |
| 17 | 3507 ÷ 17 | leaves 5 |
| 19 | 3507 ÷ 19 | leaves 11 |
| 23 | 3507 ÷ 23 | leaves 11 |
| 29 | 3507 ÷ 29 | leaves 27 |
| 31 | 3507 ÷ 31 | leaves 4 |
| 37 | 3507 ÷ 37 | leaves 29 |
Questions
Is 3507 a prime number?
No, 3507 is not a prime number. It is divisible by 3: 3507 = 3 × 1169.
What is the next prime after 3507?
3511.
What is the prime number before 3507?
3499.
What are the factors of 3507?
1, 3, 7, 21, 167, 501, 1169, 3507.