Is 1748 a prime number?
No, 1748 is not a prime number. It is divisible by 2: 1748 = 2 × 874.
Is 1748 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 √1748 ≈ 41.81. If none of them divides 1748, it is prime.
- 3
2 divides 1748 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1748 = 2^{2} \times 19 \times 23 \]Testing 1748 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1748 ÷ 2 | divides exactly (874) |
| 3 | 1748 ÷ 3 | leaves 2 |
| 5 | 1748 ÷ 5 | leaves 3 |
| 7 | 1748 ÷ 7 | leaves 5 |
| 11 | 1748 ÷ 11 | leaves 10 |
| 13 | 1748 ÷ 13 | leaves 6 |
| 17 | 1748 ÷ 17 | leaves 14 |
| 19 | 1748 ÷ 19 | divides exactly (92) |
| 23 | 1748 ÷ 23 | divides exactly (76) |
| 29 | 1748 ÷ 29 | leaves 8 |
| 31 | 1748 ÷ 31 | leaves 12 |
| 37 | 1748 ÷ 37 | leaves 9 |
Questions
Is 1748 a prime number?
No, 1748 is not a prime number. It is divisible by 2: 1748 = 2 × 874.
What is the next prime after 1748?
1753.
What is the prime number before 1748?
1747.
What are the factors of 1748?
1, 2, 4, 19, 23, 38, 46, 76, 92, 437, 874, 1748.