Is 8749 a prime number?
No, 8749 is not a prime number. It is divisible by 13: 8749 = 13 × 673.
Is 8749 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 √8749 ≈ 93.54. If none of them divides 8749, it is prime.
- 3
13 divides 8749 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8749 = 13 \times 673 \]
Testing 8749 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8749 ÷ 2 | leaves 1 |
| 3 | 8749 ÷ 3 | leaves 1 |
| 5 | 8749 ÷ 5 | leaves 4 |
| 7 | 8749 ÷ 7 | leaves 6 |
| 11 | 8749 ÷ 11 | leaves 4 |
| 13 | 8749 ÷ 13 | divides exactly (673) |
| 17 | 8749 ÷ 17 | leaves 11 |
| 19 | 8749 ÷ 19 | leaves 9 |
| 23 | 8749 ÷ 23 | leaves 9 |
| 29 | 8749 ÷ 29 | leaves 20 |
| 31 | 8749 ÷ 31 | leaves 7 |
| 37 | 8749 ÷ 37 | leaves 17 |
Questions
Is 8749 a prime number?
No, 8749 is not a prime number. It is divisible by 13: 8749 = 13 × 673.
What is the next prime after 8749?
8753.
What is the prime number before 8749?
8747.
What are the factors of 8749?
1, 13, 673, 8749.