Is 9724 a prime number?
No, 9724 is not a prime number. It is divisible by 2: 9724 = 2 × 4862.
Is 9724 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 √9724 ≈ 98.61. If none of them divides 9724, it is prime.
- 3
2 divides 9724 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9724 = 2^{2} \times 11 \times 13 \times 17 \]Testing 9724 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9724 ÷ 2 | divides exactly (4862) |
| 3 | 9724 ÷ 3 | leaves 1 |
| 5 | 9724 ÷ 5 | leaves 4 |
| 7 | 9724 ÷ 7 | leaves 1 |
| 11 | 9724 ÷ 11 | divides exactly (884) |
| 13 | 9724 ÷ 13 | divides exactly (748) |
| 17 | 9724 ÷ 17 | divides exactly (572) |
| 19 | 9724 ÷ 19 | leaves 15 |
| 23 | 9724 ÷ 23 | leaves 18 |
| 29 | 9724 ÷ 29 | leaves 9 |
| 31 | 9724 ÷ 31 | leaves 21 |
| 37 | 9724 ÷ 37 | leaves 30 |
Questions
Is 9724 a prime number?
No, 9724 is not a prime number. It is divisible by 2: 9724 = 2 × 4862.
What is the next prime after 9724?
9733.
What is the prime number before 9724?
9721.
What are the factors of 9724?
1, 2, 4, 11, 13, 17, 22, 26, 34, 44, 52, 68, 143, 187, 221, 286, 374, 442, 572, 748, 884, 2431, 4862, 9724.