Is 8201 a prime number?
No, 8201 is not a prime number. It is divisible by 59: 8201 = 59 × 139.
Is 8201 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 √8201 ≈ 90.56. If none of them divides 8201, it is prime.
- 3
59 divides 8201 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8201 = 59 \times 139 \]
Testing 8201 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8201 ÷ 2 | leaves 1 |
| 3 | 8201 ÷ 3 | leaves 2 |
| 5 | 8201 ÷ 5 | leaves 1 |
| 7 | 8201 ÷ 7 | leaves 4 |
| 11 | 8201 ÷ 11 | leaves 6 |
| 13 | 8201 ÷ 13 | leaves 11 |
| 17 | 8201 ÷ 17 | leaves 7 |
| 19 | 8201 ÷ 19 | leaves 12 |
| 23 | 8201 ÷ 23 | leaves 13 |
| 29 | 8201 ÷ 29 | leaves 23 |
| 31 | 8201 ÷ 31 | leaves 17 |
| 37 | 8201 ÷ 37 | leaves 24 |
Questions
Is 8201 a prime number?
No, 8201 is not a prime number. It is divisible by 59: 8201 = 59 × 139.
What is the next prime after 8201?
8209.
What is the prime number before 8201?
8191.
What are the factors of 8201?
1, 59, 139, 8201.