Is 961 a prime number?
No, 961 is not a prime number. It is divisible by 31: 961 = 31 × 31.
Is 961 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 √961 ≈ 31.00. If none of them divides 961, it is prime.
- 3
31 divides 961 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 961 = 31^{2} \]Testing 961 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 961 ÷ 2 | leaves 1 |
| 3 | 961 ÷ 3 | leaves 1 |
| 5 | 961 ÷ 5 | leaves 1 |
| 7 | 961 ÷ 7 | leaves 2 |
| 11 | 961 ÷ 11 | leaves 4 |
| 13 | 961 ÷ 13 | leaves 12 |
| 17 | 961 ÷ 17 | leaves 9 |
| 19 | 961 ÷ 19 | leaves 11 |
| 23 | 961 ÷ 23 | leaves 18 |
| 29 | 961 ÷ 29 | leaves 4 |
| 31 | 961 ÷ 31 | divides exactly (31) |
Questions
Is 961 a prime number?
No, 961 is not a prime number. It is divisible by 31: 961 = 31 × 31.
What is the next prime after 961?
967.
What is the prime number before 961?
953.
What are the factors of 961?
1, 31, 961.