Is 9801 a prime number?
No, 9801 is not a prime number. It is divisible by 3: 9801 = 3 × 3267.
Is 9801 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 √9801 ≈ 99.00. If none of them divides 9801, it is prime.
- 3
3 divides 9801 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9801 = 3^{4} \times 11^{2} \]Testing 9801 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9801 ÷ 2 | leaves 1 |
| 3 | 9801 ÷ 3 | divides exactly (3267) |
| 5 | 9801 ÷ 5 | leaves 1 |
| 7 | 9801 ÷ 7 | leaves 1 |
| 11 | 9801 ÷ 11 | divides exactly (891) |
| 13 | 9801 ÷ 13 | leaves 12 |
| 17 | 9801 ÷ 17 | leaves 9 |
| 19 | 9801 ÷ 19 | leaves 16 |
| 23 | 9801 ÷ 23 | leaves 3 |
| 29 | 9801 ÷ 29 | leaves 28 |
| 31 | 9801 ÷ 31 | leaves 5 |
| 37 | 9801 ÷ 37 | leaves 33 |
Questions
Is 9801 a prime number?
No, 9801 is not a prime number. It is divisible by 3: 9801 = 3 × 3267.
What is the next prime after 9801?
9803.
What is the prime number before 9801?
9791.
What are the factors of 9801?
1, 3, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, 9801.