Is 9825 a prime number?
No, 9825 is not a prime number. It is divisible by 3: 9825 = 3 × 3275.
Is 9825 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 √9825 ≈ 99.12. If none of them divides 9825, it is prime.
- 3
3 divides 9825 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9825 = 3 \times 5^{2} \times 131 \]Testing 9825 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9825 ÷ 2 | leaves 1 |
| 3 | 9825 ÷ 3 | divides exactly (3275) |
| 5 | 9825 ÷ 5 | divides exactly (1965) |
| 7 | 9825 ÷ 7 | leaves 4 |
| 11 | 9825 ÷ 11 | leaves 2 |
| 13 | 9825 ÷ 13 | leaves 10 |
| 17 | 9825 ÷ 17 | leaves 16 |
| 19 | 9825 ÷ 19 | leaves 2 |
| 23 | 9825 ÷ 23 | leaves 4 |
| 29 | 9825 ÷ 29 | leaves 23 |
| 31 | 9825 ÷ 31 | leaves 29 |
| 37 | 9825 ÷ 37 | leaves 20 |
Questions
Is 9825 a prime number?
No, 9825 is not a prime number. It is divisible by 3: 9825 = 3 × 3275.
What is the next prime after 9825?
9829.
What is the prime number before 9825?
9817.
What are the factors of 9825?
1, 3, 5, 15, 25, 75, 131, 393, 655, 1965, 3275, 9825.