Is 3501 a prime number?
No, 3501 is not a prime number. It is divisible by 3: 3501 = 3 × 1167.
Is 3501 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 √3501 ≈ 59.17. If none of them divides 3501, it is prime.
- 3
3 divides 3501 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3501 = 3^{2} \times 389 \]Testing 3501 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3501 ÷ 2 | leaves 1 |
| 3 | 3501 ÷ 3 | divides exactly (1167) |
| 5 | 3501 ÷ 5 | leaves 1 |
| 7 | 3501 ÷ 7 | leaves 1 |
| 11 | 3501 ÷ 11 | leaves 3 |
| 13 | 3501 ÷ 13 | leaves 4 |
| 17 | 3501 ÷ 17 | leaves 16 |
| 19 | 3501 ÷ 19 | leaves 5 |
| 23 | 3501 ÷ 23 | leaves 5 |
| 29 | 3501 ÷ 29 | leaves 21 |
| 31 | 3501 ÷ 31 | leaves 29 |
| 37 | 3501 ÷ 37 | leaves 23 |
Questions
Is 3501 a prime number?
No, 3501 is not a prime number. It is divisible by 3: 3501 = 3 × 1167.
What is the next prime after 3501?
3511.
What is the prime number before 3501?
3499.
What are the factors of 3501?
1, 3, 9, 389, 1167, 3501.