Is 8748 a prime number?
No, 8748 is not a prime number. It is divisible by 2: 8748 = 2 × 4374.
Is 8748 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 √8748 ≈ 93.53. If none of them divides 8748, it is prime.
- 3
2 divides 8748 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8748 = 2^{2} \times 3^{7} \]Testing 8748 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8748 ÷ 2 | divides exactly (4374) |
| 3 | 8748 ÷ 3 | divides exactly (2916) |
| 5 | 8748 ÷ 5 | leaves 3 |
| 7 | 8748 ÷ 7 | leaves 5 |
| 11 | 8748 ÷ 11 | leaves 3 |
| 13 | 8748 ÷ 13 | leaves 12 |
| 17 | 8748 ÷ 17 | leaves 10 |
| 19 | 8748 ÷ 19 | leaves 8 |
| 23 | 8748 ÷ 23 | leaves 8 |
| 29 | 8748 ÷ 29 | leaves 19 |
| 31 | 8748 ÷ 31 | leaves 6 |
| 37 | 8748 ÷ 37 | leaves 16 |
Questions
Is 8748 a prime number?
No, 8748 is not a prime number. It is divisible by 2: 8748 = 2 × 4374.
What is the next prime after 8748?
8753.
What is the prime number before 8748?
8747.
What are the factors of 8748?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2187, 2916, 4374, 8748.