Is 1743 a prime number?
No, 1743 is not a prime number. It is divisible by 3: 1743 = 3 × 581.
Is 1743 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 √1743 ≈ 41.75. If none of them divides 1743, it is prime.
- 3
3 divides 1743 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1743 = 3 \times 7 \times 83 \]
Testing 1743 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1743 ÷ 2 | leaves 1 |
| 3 | 1743 ÷ 3 | divides exactly (581) |
| 5 | 1743 ÷ 5 | leaves 3 |
| 7 | 1743 ÷ 7 | divides exactly (249) |
| 11 | 1743 ÷ 11 | leaves 5 |
| 13 | 1743 ÷ 13 | leaves 1 |
| 17 | 1743 ÷ 17 | leaves 9 |
| 19 | 1743 ÷ 19 | leaves 14 |
| 23 | 1743 ÷ 23 | leaves 18 |
| 29 | 1743 ÷ 29 | leaves 3 |
| 31 | 1743 ÷ 31 | leaves 7 |
| 37 | 1743 ÷ 37 | leaves 4 |
Questions
Is 1743 a prime number?
No, 1743 is not a prime number. It is divisible by 3: 1743 = 3 × 581.
What is the next prime after 1743?
1747.
What is the prime number before 1743?
1741.
What are the factors of 1743?
1, 3, 7, 21, 83, 249, 581, 1743.