Is 2201 a prime number?
No, 2201 is not a prime number. It is divisible by 31: 2201 = 31 × 71.
Is 2201 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 √2201 ≈ 46.91. If none of them divides 2201, it is prime.
- 3
31 divides 2201 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2201 = 31 \times 71 \]
Testing 2201 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2201 ÷ 2 | leaves 1 |
| 3 | 2201 ÷ 3 | leaves 2 |
| 5 | 2201 ÷ 5 | leaves 1 |
| 7 | 2201 ÷ 7 | leaves 3 |
| 11 | 2201 ÷ 11 | leaves 1 |
| 13 | 2201 ÷ 13 | leaves 4 |
| 17 | 2201 ÷ 17 | leaves 8 |
| 19 | 2201 ÷ 19 | leaves 16 |
| 23 | 2201 ÷ 23 | leaves 16 |
| 29 | 2201 ÷ 29 | leaves 26 |
| 31 | 2201 ÷ 31 | divides exactly (71) |
| 37 | 2201 ÷ 37 | leaves 18 |
Questions
Is 2201 a prime number?
No, 2201 is not a prime number. It is divisible by 31: 2201 = 31 × 71.
What is the next prime after 2201?
2203.
What is the prime number before 2201?
2179.
What are the factors of 2201?
1, 31, 71, 2201.