Is 9729 a prime number?
No, 9729 is not a prime number. It is divisible by 3: 9729 = 3 × 3243.
Is 9729 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 √9729 ≈ 98.64. If none of them divides 9729, it is prime.
- 3
3 divides 9729 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9729 = 3^{2} \times 23 \times 47 \]Testing 9729 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9729 ÷ 2 | leaves 1 |
| 3 | 9729 ÷ 3 | divides exactly (3243) |
| 5 | 9729 ÷ 5 | leaves 4 |
| 7 | 9729 ÷ 7 | leaves 6 |
| 11 | 9729 ÷ 11 | leaves 5 |
| 13 | 9729 ÷ 13 | leaves 5 |
| 17 | 9729 ÷ 17 | leaves 5 |
| 19 | 9729 ÷ 19 | leaves 1 |
| 23 | 9729 ÷ 23 | divides exactly (423) |
| 29 | 9729 ÷ 29 | leaves 14 |
| 31 | 9729 ÷ 31 | leaves 26 |
| 37 | 9729 ÷ 37 | leaves 35 |
Questions
Is 9729 a prime number?
No, 9729 is not a prime number. It is divisible by 3: 9729 = 3 × 3243.
What is the next prime after 9729?
9733.
What is the prime number before 9729?
9721.
What are the factors of 9729?
1, 3, 9, 23, 47, 69, 141, 207, 423, 1081, 3243, 9729.