Is 9401 a prime number?
No, 9401 is not a prime number. It is divisible by 7: 9401 = 7 × 1343.
Is 9401 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 √9401 ≈ 96.96. If none of them divides 9401, it is prime.
- 3
7 divides 9401 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9401 = 7 \times 17 \times 79 \]
Testing 9401 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9401 ÷ 2 | leaves 1 |
| 3 | 9401 ÷ 3 | leaves 2 |
| 5 | 9401 ÷ 5 | leaves 1 |
| 7 | 9401 ÷ 7 | divides exactly (1343) |
| 11 | 9401 ÷ 11 | leaves 7 |
| 13 | 9401 ÷ 13 | leaves 2 |
| 17 | 9401 ÷ 17 | divides exactly (553) |
| 19 | 9401 ÷ 19 | leaves 15 |
| 23 | 9401 ÷ 23 | leaves 17 |
| 29 | 9401 ÷ 29 | leaves 5 |
| 31 | 9401 ÷ 31 | leaves 8 |
| 37 | 9401 ÷ 37 | leaves 3 |
Questions
Is 9401 a prime number?
No, 9401 is not a prime number. It is divisible by 7: 9401 = 7 × 1343.
What is the next prime after 9401?
9403.
What is the prime number before 9401?
9397.
What are the factors of 9401?
1, 7, 17, 79, 119, 553, 1343, 9401.