Is 1241 a prime number?
No, 1241 is not a prime number. It is divisible by 17: 1241 = 17 × 73.
Is 1241 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 √1241 ≈ 35.23. If none of them divides 1241, it is prime.
- 3
17 divides 1241 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1241 = 17 \times 73 \]
Testing 1241 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1241 ÷ 2 | leaves 1 |
| 3 | 1241 ÷ 3 | leaves 2 |
| 5 | 1241 ÷ 5 | leaves 1 |
| 7 | 1241 ÷ 7 | leaves 2 |
| 11 | 1241 ÷ 11 | leaves 9 |
| 13 | 1241 ÷ 13 | leaves 6 |
| 17 | 1241 ÷ 17 | divides exactly (73) |
| 19 | 1241 ÷ 19 | leaves 6 |
| 23 | 1241 ÷ 23 | leaves 22 |
| 29 | 1241 ÷ 29 | leaves 23 |
| 31 | 1241 ÷ 31 | leaves 1 |
Questions
Is 1241 a prime number?
No, 1241 is not a prime number. It is divisible by 17: 1241 = 17 × 73.
What is the next prime after 1241?
1249.
What is the prime number before 1241?
1237.
What are the factors of 1241?
1, 17, 73, 1241.