Is 981 a prime number?
No, 981 is not a prime number. It is divisible by 3: 981 = 3 × 327.
Is 981 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 √981 ≈ 31.32. If none of them divides 981, it is prime.
- 3
3 divides 981 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 981 = 3^{2} \times 109 \]Testing 981 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 981 ÷ 2 | leaves 1 |
| 3 | 981 ÷ 3 | divides exactly (327) |
| 5 | 981 ÷ 5 | leaves 1 |
| 7 | 981 ÷ 7 | leaves 1 |
| 11 | 981 ÷ 11 | leaves 2 |
| 13 | 981 ÷ 13 | leaves 6 |
| 17 | 981 ÷ 17 | leaves 12 |
| 19 | 981 ÷ 19 | leaves 12 |
| 23 | 981 ÷ 23 | leaves 15 |
| 29 | 981 ÷ 29 | leaves 24 |
| 31 | 981 ÷ 31 | leaves 20 |
Questions
Is 981 a prime number?
No, 981 is not a prime number. It is divisible by 3: 981 = 3 × 327.
What is the next prime after 981?
983.
What is the prime number before 981?
977.
What are the factors of 981?
1, 3, 9, 109, 327, 981.