Is 9960 a prime number?
No, 9960 is not a prime number. It is divisible by 2: 9960 = 2 × 4980.
Is 9960 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 √9960 ≈ 99.80. If none of them divides 9960, it is prime.
- 3
2 divides 9960 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9960 = 2^{3} \times 3 \times 5 \times 83 \]Testing 9960 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9960 ÷ 2 | divides exactly (4980) |
| 3 | 9960 ÷ 3 | divides exactly (3320) |
| 5 | 9960 ÷ 5 | divides exactly (1992) |
| 7 | 9960 ÷ 7 | leaves 6 |
| 11 | 9960 ÷ 11 | leaves 5 |
| 13 | 9960 ÷ 13 | leaves 2 |
| 17 | 9960 ÷ 17 | leaves 15 |
| 19 | 9960 ÷ 19 | leaves 4 |
| 23 | 9960 ÷ 23 | leaves 1 |
| 29 | 9960 ÷ 29 | leaves 13 |
| 31 | 9960 ÷ 31 | leaves 9 |
| 37 | 9960 ÷ 37 | leaves 7 |
Questions
Is 9960 a prime number?
No, 9960 is not a prime number. It is divisible by 2: 9960 = 2 × 4980.
What is the next prime after 9960?
9967.
What is the prime number before 9960?
9949.
What are the factors of 9960?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 83, 120, 166, 249, 332, 415, 498, 664, 830, 996, 1245, 1660, 1992, 2490, 3320, 4980, 9960.