Is 8901 a prime number?
No, 8901 is not a prime number. It is divisible by 3: 8901 = 3 × 2967.
Is 8901 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 √8901 ≈ 94.35. If none of them divides 8901, it is prime.
- 3
3 divides 8901 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8901 = 3^{2} \times 23 \times 43 \]Testing 8901 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8901 ÷ 2 | leaves 1 |
| 3 | 8901 ÷ 3 | divides exactly (2967) |
| 5 | 8901 ÷ 5 | leaves 1 |
| 7 | 8901 ÷ 7 | leaves 4 |
| 11 | 8901 ÷ 11 | leaves 2 |
| 13 | 8901 ÷ 13 | leaves 9 |
| 17 | 8901 ÷ 17 | leaves 10 |
| 19 | 8901 ÷ 19 | leaves 9 |
| 23 | 8901 ÷ 23 | divides exactly (387) |
| 29 | 8901 ÷ 29 | leaves 27 |
| 31 | 8901 ÷ 31 | leaves 4 |
| 37 | 8901 ÷ 37 | leaves 21 |
Questions
Is 8901 a prime number?
No, 8901 is not a prime number. It is divisible by 3: 8901 = 3 × 2967.
What is the next prime after 8901?
8923.
What is the prime number before 8901?
8893.
What are the factors of 8901?
1, 3, 9, 23, 43, 69, 129, 207, 387, 989, 2967, 8901.