Is 9977 a prime number?
No, 9977 is not a prime number. It is divisible by 11: 9977 = 11 × 907.
Is 9977 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 √9977 ≈ 99.88. If none of them divides 9977, it is prime.
- 3
11 divides 9977 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9977 = 11 \times 907 \]
Testing 9977 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9977 ÷ 2 | leaves 1 |
| 3 | 9977 ÷ 3 | leaves 2 |
| 5 | 9977 ÷ 5 | leaves 2 |
| 7 | 9977 ÷ 7 | leaves 2 |
| 11 | 9977 ÷ 11 | divides exactly (907) |
| 13 | 9977 ÷ 13 | leaves 6 |
| 17 | 9977 ÷ 17 | leaves 15 |
| 19 | 9977 ÷ 19 | leaves 2 |
| 23 | 9977 ÷ 23 | leaves 18 |
| 29 | 9977 ÷ 29 | leaves 1 |
| 31 | 9977 ÷ 31 | leaves 26 |
| 37 | 9977 ÷ 37 | leaves 24 |
Questions
Is 9977 a prime number?
No, 9977 is not a prime number. It is divisible by 11: 9977 = 11 × 907.
What is the next prime after 9977?
10007.
What is the prime number before 9977?
9973.
What are the factors of 9977?
1, 11, 907, 9977.