Is 1742 a prime number?
No, 1742 is not a prime number. It is divisible by 2: 1742 = 2 × 871.
Is 1742 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 √1742 ≈ 41.74. If none of them divides 1742, it is prime.
- 3
2 divides 1742 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1742 = 2 \times 13 \times 67 \]
Testing 1742 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1742 ÷ 2 | divides exactly (871) |
| 3 | 1742 ÷ 3 | leaves 2 |
| 5 | 1742 ÷ 5 | leaves 2 |
| 7 | 1742 ÷ 7 | leaves 6 |
| 11 | 1742 ÷ 11 | leaves 4 |
| 13 | 1742 ÷ 13 | divides exactly (134) |
| 17 | 1742 ÷ 17 | leaves 8 |
| 19 | 1742 ÷ 19 | leaves 13 |
| 23 | 1742 ÷ 23 | leaves 17 |
| 29 | 1742 ÷ 29 | leaves 2 |
| 31 | 1742 ÷ 31 | leaves 6 |
| 37 | 1742 ÷ 37 | leaves 3 |
Questions
Is 1742 a prime number?
No, 1742 is not a prime number. It is divisible by 2: 1742 = 2 × 871.
What is the next prime after 1742?
1747.
What is the prime number before 1742?
1741.
What are the factors of 1742?
1, 2, 13, 26, 67, 134, 871, 1742.