Is 9948 a prime number?
No, 9948 is not a prime number. It is divisible by 2: 9948 = 2 × 4974.
Is 9948 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 √9948 ≈ 99.74. If none of them divides 9948, it is prime.
- 3
2 divides 9948 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9948 = 2^{2} \times 3 \times 829 \]Testing 9948 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9948 ÷ 2 | divides exactly (4974) |
| 3 | 9948 ÷ 3 | divides exactly (3316) |
| 5 | 9948 ÷ 5 | leaves 3 |
| 7 | 9948 ÷ 7 | leaves 1 |
| 11 | 9948 ÷ 11 | leaves 4 |
| 13 | 9948 ÷ 13 | leaves 3 |
| 17 | 9948 ÷ 17 | leaves 3 |
| 19 | 9948 ÷ 19 | leaves 11 |
| 23 | 9948 ÷ 23 | leaves 12 |
| 29 | 9948 ÷ 29 | leaves 1 |
| 31 | 9948 ÷ 31 | leaves 28 |
| 37 | 9948 ÷ 37 | leaves 32 |
Questions
Is 9948 a prime number?
No, 9948 is not a prime number. It is divisible by 2: 9948 = 2 × 4974.
What is the next prime after 9948?
9949.
What is the prime number before 9948?
9941.
What are the factors of 9948?
1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948.