Is 8742 a prime number?
No, 8742 is not a prime number. It is divisible by 2: 8742 = 2 × 4371.
Is 8742 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 √8742 ≈ 93.50. If none of them divides 8742, it is prime.
- 3
2 divides 8742 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8742 = 2 \times 3 \times 31 \times 47 \]
Testing 8742 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8742 ÷ 2 | divides exactly (4371) |
| 3 | 8742 ÷ 3 | divides exactly (2914) |
| 5 | 8742 ÷ 5 | leaves 2 |
| 7 | 8742 ÷ 7 | leaves 6 |
| 11 | 8742 ÷ 11 | leaves 8 |
| 13 | 8742 ÷ 13 | leaves 6 |
| 17 | 8742 ÷ 17 | leaves 4 |
| 19 | 8742 ÷ 19 | leaves 2 |
| 23 | 8742 ÷ 23 | leaves 2 |
| 29 | 8742 ÷ 29 | leaves 13 |
| 31 | 8742 ÷ 31 | divides exactly (282) |
| 37 | 8742 ÷ 37 | leaves 10 |
Questions
Is 8742 a prime number?
No, 8742 is not a prime number. It is divisible by 2: 8742 = 2 × 4371.
What is the next prime after 8742?
8747.
What is the prime number before 8742?
8741.
What are the factors of 8742?
1, 2, 3, 6, 31, 47, 62, 93, 94, 141, 186, 282, 1457, 2914, 4371, 8742.