Is 1744 a prime number?
No, 1744 is not a prime number. It is divisible by 2: 1744 = 2 × 872.
Is 1744 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 √1744 ≈ 41.76. If none of them divides 1744, it is prime.
- 3
2 divides 1744 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1744 = 2^{4} \times 109 \]Testing 1744 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1744 ÷ 2 | divides exactly (872) |
| 3 | 1744 ÷ 3 | leaves 1 |
| 5 | 1744 ÷ 5 | leaves 4 |
| 7 | 1744 ÷ 7 | leaves 1 |
| 11 | 1744 ÷ 11 | leaves 6 |
| 13 | 1744 ÷ 13 | leaves 2 |
| 17 | 1744 ÷ 17 | leaves 10 |
| 19 | 1744 ÷ 19 | leaves 15 |
| 23 | 1744 ÷ 23 | leaves 19 |
| 29 | 1744 ÷ 29 | leaves 4 |
| 31 | 1744 ÷ 31 | leaves 8 |
| 37 | 1744 ÷ 37 | leaves 5 |
Questions
Is 1744 a prime number?
No, 1744 is not a prime number. It is divisible by 2: 1744 = 2 × 872.
What is the next prime after 1744?
1747.
What is the prime number before 1744?
1741.
What are the factors of 1744?
1, 2, 4, 8, 16, 109, 218, 436, 872, 1744.