Is 9961 a prime number?
No, 9961 is not a prime number. It is divisible by 7: 9961 = 7 × 1423.
Is 9961 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 √9961 ≈ 99.80. If none of them divides 9961, it is prime.
- 3
7 divides 9961 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9961 = 7 \times 1423 \]
Testing 9961 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9961 ÷ 2 | leaves 1 |
| 3 | 9961 ÷ 3 | leaves 1 |
| 5 | 9961 ÷ 5 | leaves 1 |
| 7 | 9961 ÷ 7 | divides exactly (1423) |
| 11 | 9961 ÷ 11 | leaves 6 |
| 13 | 9961 ÷ 13 | leaves 3 |
| 17 | 9961 ÷ 17 | leaves 16 |
| 19 | 9961 ÷ 19 | leaves 5 |
| 23 | 9961 ÷ 23 | leaves 2 |
| 29 | 9961 ÷ 29 | leaves 14 |
| 31 | 9961 ÷ 31 | leaves 10 |
| 37 | 9961 ÷ 37 | leaves 8 |
Questions
Is 9961 a prime number?
No, 9961 is not a prime number. It is divisible by 7: 9961 = 7 × 1423.
What is the next prime after 9961?
9967.
What is the prime number before 9961?
9949.
What are the factors of 9961?
1, 7, 1423, 9961.