Is 9701 a prime number?
No, 9701 is not a prime number. It is divisible by 89: 9701 = 89 × 109.
Is 9701 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 √9701 ≈ 98.49. If none of them divides 9701, it is prime.
- 3
89 divides 9701 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9701 = 89 \times 109 \]
Testing 9701 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9701 ÷ 2 | leaves 1 |
| 3 | 9701 ÷ 3 | leaves 2 |
| 5 | 9701 ÷ 5 | leaves 1 |
| 7 | 9701 ÷ 7 | leaves 6 |
| 11 | 9701 ÷ 11 | leaves 10 |
| 13 | 9701 ÷ 13 | leaves 3 |
| 17 | 9701 ÷ 17 | leaves 11 |
| 19 | 9701 ÷ 19 | leaves 11 |
| 23 | 9701 ÷ 23 | leaves 18 |
| 29 | 9701 ÷ 29 | leaves 15 |
| 31 | 9701 ÷ 31 | leaves 29 |
| 37 | 9701 ÷ 37 | leaves 7 |
Questions
Is 9701 a prime number?
No, 9701 is not a prime number. It is divisible by 89: 9701 = 89 × 109.
What is the next prime after 9701?
9719.
What is the prime number before 9701?
9697.
What are the factors of 9701?
1, 89, 109, 9701.