Is 8801 a prime number?
No, 8801 is not a prime number. It is divisible by 13: 8801 = 13 × 677.
Is 8801 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 √8801 ≈ 93.81. If none of them divides 8801, it is prime.
- 3
13 divides 8801 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8801 = 13 \times 677 \]
Testing 8801 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8801 ÷ 2 | leaves 1 |
| 3 | 8801 ÷ 3 | leaves 2 |
| 5 | 8801 ÷ 5 | leaves 1 |
| 7 | 8801 ÷ 7 | leaves 2 |
| 11 | 8801 ÷ 11 | leaves 1 |
| 13 | 8801 ÷ 13 | divides exactly (677) |
| 17 | 8801 ÷ 17 | leaves 12 |
| 19 | 8801 ÷ 19 | leaves 4 |
| 23 | 8801 ÷ 23 | leaves 15 |
| 29 | 8801 ÷ 29 | leaves 14 |
| 31 | 8801 ÷ 31 | leaves 28 |
| 37 | 8801 ÷ 37 | leaves 32 |
Questions
Is 8801 a prime number?
No, 8801 is not a prime number. It is divisible by 13: 8801 = 13 × 677.
What is the next prime after 8801?
8803.
What is the prime number before 8801?
8783.
What are the factors of 8801?
1, 13, 677, 8801.