Is 9802 a prime number?
No, 9802 is not a prime number. It is divisible by 2: 9802 = 2 × 4901.
Is 9802 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 √9802 ≈ 99.01. If none of them divides 9802, it is prime.
- 3
2 divides 9802 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9802 = 2 \times 13^{2} \times 29 \]Testing 9802 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9802 ÷ 2 | divides exactly (4901) |
| 3 | 9802 ÷ 3 | leaves 1 |
| 5 | 9802 ÷ 5 | leaves 2 |
| 7 | 9802 ÷ 7 | leaves 2 |
| 11 | 9802 ÷ 11 | leaves 1 |
| 13 | 9802 ÷ 13 | divides exactly (754) |
| 17 | 9802 ÷ 17 | leaves 10 |
| 19 | 9802 ÷ 19 | leaves 17 |
| 23 | 9802 ÷ 23 | leaves 4 |
| 29 | 9802 ÷ 29 | divides exactly (338) |
| 31 | 9802 ÷ 31 | leaves 6 |
| 37 | 9802 ÷ 37 | leaves 34 |
Questions
Is 9802 a prime number?
No, 9802 is not a prime number. It is divisible by 2: 9802 = 2 × 4901.
What is the next prime after 9802?
9803.
What is the prime number before 9802?
9791.
What are the factors of 9802?
1, 2, 13, 26, 29, 58, 169, 338, 377, 754, 4901, 9802.