Is 9840 a prime number?
No, 9840 is not a prime number. It is divisible by 2: 9840 = 2 × 4920.
Is 9840 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 √9840 ≈ 99.20. If none of them divides 9840, it is prime.
- 3
2 divides 9840 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9840 = 2^{4} \times 3 \times 5 \times 41 \]Testing 9840 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9840 ÷ 2 | divides exactly (4920) |
| 3 | 9840 ÷ 3 | divides exactly (3280) |
| 5 | 9840 ÷ 5 | divides exactly (1968) |
| 7 | 9840 ÷ 7 | leaves 5 |
| 11 | 9840 ÷ 11 | leaves 6 |
| 13 | 9840 ÷ 13 | leaves 12 |
| 17 | 9840 ÷ 17 | leaves 14 |
| 19 | 9840 ÷ 19 | leaves 17 |
| 23 | 9840 ÷ 23 | leaves 19 |
| 29 | 9840 ÷ 29 | leaves 9 |
| 31 | 9840 ÷ 31 | leaves 13 |
| 37 | 9840 ÷ 37 | leaves 35 |
Questions
Is 9840 a prime number?
No, 9840 is not a prime number. It is divisible by 2: 9840 = 2 × 4920.
What is the next prime after 9840?
9851.
What is the prime number before 9840?
9839.
What are the factors of 9840?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 41, 48, 60, 80, 82, 120, 123, 164, 205, 240, 246, 328, 410, 492, 615, 656, 820, 984, 1230, 1640, 1968, 2460, 3280, 4920, 9840.