Is 1121 a prime number?
No, 1121 is not a prime number. It is divisible by 19: 1121 = 19 × 59.
Is 1121 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 √1121 ≈ 33.48. If none of them divides 1121, it is prime.
- 3
19 divides 1121 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1121 = 19 \times 59 \]
Testing 1121 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1121 ÷ 2 | leaves 1 |
| 3 | 1121 ÷ 3 | leaves 2 |
| 5 | 1121 ÷ 5 | leaves 1 |
| 7 | 1121 ÷ 7 | leaves 1 |
| 11 | 1121 ÷ 11 | leaves 10 |
| 13 | 1121 ÷ 13 | leaves 3 |
| 17 | 1121 ÷ 17 | leaves 16 |
| 19 | 1121 ÷ 19 | divides exactly (59) |
| 23 | 1121 ÷ 23 | leaves 17 |
| 29 | 1121 ÷ 29 | leaves 19 |
| 31 | 1121 ÷ 31 | leaves 5 |
Questions
Is 1121 a prime number?
No, 1121 is not a prime number. It is divisible by 19: 1121 = 19 × 59.
What is the next prime after 1121?
1123.
What is the prime number before 1121?
1117.
What are the factors of 1121?
1, 19, 59, 1121.