Is 9971 a prime number?
No, 9971 is not a prime number. It is divisible by 13: 9971 = 13 × 767.
Is 9971 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 √9971 ≈ 99.85. If none of them divides 9971, it is prime.
- 3
13 divides 9971 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9971 = 13^{2} \times 59 \]Testing 9971 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9971 ÷ 2 | leaves 1 |
| 3 | 9971 ÷ 3 | leaves 2 |
| 5 | 9971 ÷ 5 | leaves 1 |
| 7 | 9971 ÷ 7 | leaves 3 |
| 11 | 9971 ÷ 11 | leaves 5 |
| 13 | 9971 ÷ 13 | divides exactly (767) |
| 17 | 9971 ÷ 17 | leaves 9 |
| 19 | 9971 ÷ 19 | leaves 15 |
| 23 | 9971 ÷ 23 | leaves 12 |
| 29 | 9971 ÷ 29 | leaves 24 |
| 31 | 9971 ÷ 31 | leaves 20 |
| 37 | 9971 ÷ 37 | leaves 18 |
Questions
Is 9971 a prime number?
No, 9971 is not a prime number. It is divisible by 13: 9971 = 13 × 767.
What is the next prime after 9971?
9973.
What is the prime number before 9971?
9967.
What are the factors of 9971?
1, 13, 59, 169, 767, 9971.