Is 3587 a prime number?
No, 3587 is not a prime number. It is divisible by 17: 3587 = 17 × 211.
Is 3587 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 √3587 ≈ 59.89. If none of them divides 3587, it is prime.
- 3
17 divides 3587 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3587 = 17 \times 211 \]
Testing 3587 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3587 ÷ 2 | leaves 1 |
| 3 | 3587 ÷ 3 | leaves 2 |
| 5 | 3587 ÷ 5 | leaves 2 |
| 7 | 3587 ÷ 7 | leaves 3 |
| 11 | 3587 ÷ 11 | leaves 1 |
| 13 | 3587 ÷ 13 | leaves 12 |
| 17 | 3587 ÷ 17 | divides exactly (211) |
| 19 | 3587 ÷ 19 | leaves 15 |
| 23 | 3587 ÷ 23 | leaves 22 |
| 29 | 3587 ÷ 29 | leaves 20 |
| 31 | 3587 ÷ 31 | leaves 22 |
| 37 | 3587 ÷ 37 | leaves 35 |
Questions
Is 3587 a prime number?
No, 3587 is not a prime number. It is divisible by 17: 3587 = 17 × 211.
What is the next prime after 3587?
3593.
What is the prime number before 3587?
3583.
What are the factors of 3587?
1, 17, 211, 3587.