Is 1740 a prime number?
No, 1740 is not a prime number. It is divisible by 2: 1740 = 2 × 870.
Is 1740 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 √1740 ≈ 41.71. If none of them divides 1740, it is prime.
- 3
2 divides 1740 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1740 = 2^{2} \times 3 \times 5 \times 29 \]Testing 1740 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1740 ÷ 2 | divides exactly (870) |
| 3 | 1740 ÷ 3 | divides exactly (580) |
| 5 | 1740 ÷ 5 | divides exactly (348) |
| 7 | 1740 ÷ 7 | leaves 4 |
| 11 | 1740 ÷ 11 | leaves 2 |
| 13 | 1740 ÷ 13 | leaves 11 |
| 17 | 1740 ÷ 17 | leaves 6 |
| 19 | 1740 ÷ 19 | leaves 11 |
| 23 | 1740 ÷ 23 | leaves 15 |
| 29 | 1740 ÷ 29 | divides exactly (60) |
| 31 | 1740 ÷ 31 | leaves 4 |
| 37 | 1740 ÷ 37 | leaves 1 |
Questions
Is 1740 a prime number?
No, 1740 is not a prime number. It is divisible by 2: 1740 = 2 × 870.
What is the next prime after 1740?
1741.
What is the prime number before 1740?
1733.
What are the factors of 1740?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870, 1740.