Is 971 a prime number?
Yes, 971 is a prime number. Its only factors are 1 and 971.
Is 971 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 √971 ≈ 31.16. If none of them divides 971, it is prime.
- 3
None of them divides 971, so it is prime.
Testing 971 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 971 ÷ 2 | leaves 1 |
| 3 | 971 ÷ 3 | leaves 2 |
| 5 | 971 ÷ 5 | leaves 1 |
| 7 | 971 ÷ 7 | leaves 5 |
| 11 | 971 ÷ 11 | leaves 3 |
| 13 | 971 ÷ 13 | leaves 9 |
| 17 | 971 ÷ 17 | leaves 2 |
| 19 | 971 ÷ 19 | leaves 2 |
| 23 | 971 ÷ 23 | leaves 5 |
| 29 | 971 ÷ 29 | leaves 14 |
| 31 | 971 ÷ 31 | leaves 10 |
Questions
Is 971 a prime number?
Yes, 971 is a prime number. Its only factors are 1 and 971.
What is the next prime after 971?
977.
What is the prime number before 971?
967.
What are the factors of 971?
1, 971.