Is 9877 a prime number?
No, 9877 is not a prime number. It is divisible by 7: 9877 = 7 × 1411.
Is 9877 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 √9877 ≈ 99.38. If none of them divides 9877, it is prime.
- 3
7 divides 9877 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9877 = 7 \times 17 \times 83 \]
Testing 9877 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9877 ÷ 2 | leaves 1 |
| 3 | 9877 ÷ 3 | leaves 1 |
| 5 | 9877 ÷ 5 | leaves 2 |
| 7 | 9877 ÷ 7 | divides exactly (1411) |
| 11 | 9877 ÷ 11 | leaves 10 |
| 13 | 9877 ÷ 13 | leaves 10 |
| 17 | 9877 ÷ 17 | divides exactly (581) |
| 19 | 9877 ÷ 19 | leaves 16 |
| 23 | 9877 ÷ 23 | leaves 10 |
| 29 | 9877 ÷ 29 | leaves 17 |
| 31 | 9877 ÷ 31 | leaves 19 |
| 37 | 9877 ÷ 37 | leaves 35 |
Questions
Is 9877 a prime number?
No, 9877 is not a prime number. It is divisible by 7: 9877 = 7 × 1411.
What is the next prime after 9877?
9883.
What is the prime number before 9877?
9871.
What are the factors of 9877?
1, 7, 17, 83, 119, 581, 1411, 9877.