Is 1739 a prime number?
No, 1739 is not a prime number. It is divisible by 37: 1739 = 37 × 47.
Is 1739 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 √1739 ≈ 41.70. If none of them divides 1739, it is prime.
- 3
37 divides 1739 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1739 = 37 \times 47 \]
Testing 1739 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1739 ÷ 2 | leaves 1 |
| 3 | 1739 ÷ 3 | leaves 2 |
| 5 | 1739 ÷ 5 | leaves 4 |
| 7 | 1739 ÷ 7 | leaves 3 |
| 11 | 1739 ÷ 11 | leaves 1 |
| 13 | 1739 ÷ 13 | leaves 10 |
| 17 | 1739 ÷ 17 | leaves 5 |
| 19 | 1739 ÷ 19 | leaves 10 |
| 23 | 1739 ÷ 23 | leaves 14 |
| 29 | 1739 ÷ 29 | leaves 28 |
| 31 | 1739 ÷ 31 | leaves 3 |
| 37 | 1739 ÷ 37 | divides exactly (47) |
Questions
Is 1739 a prime number?
No, 1739 is not a prime number. It is divisible by 37: 1739 = 37 × 47.
What is the next prime after 1739?
1741.
What is the prime number before 1739?
1733.
What are the factors of 1739?
1, 37, 47, 1739.