Is 5742 a prime number?
No, 5742 is not a prime number. It is divisible by 2: 5742 = 2 × 2871.
Is 5742 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 √5742 ≈ 75.78. If none of them divides 5742, it is prime.
- 3
2 divides 5742 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5742 = 2 \times 3^{2} \times 11 \times 29 \]Testing 5742 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5742 ÷ 2 | divides exactly (2871) |
| 3 | 5742 ÷ 3 | divides exactly (1914) |
| 5 | 5742 ÷ 5 | leaves 2 |
| 7 | 5742 ÷ 7 | leaves 2 |
| 11 | 5742 ÷ 11 | divides exactly (522) |
| 13 | 5742 ÷ 13 | leaves 9 |
| 17 | 5742 ÷ 17 | leaves 13 |
| 19 | 5742 ÷ 19 | leaves 4 |
| 23 | 5742 ÷ 23 | leaves 15 |
| 29 | 5742 ÷ 29 | divides exactly (198) |
| 31 | 5742 ÷ 31 | leaves 7 |
| 37 | 5742 ÷ 37 | leaves 7 |
Questions
Is 5742 a prime number?
No, 5742 is not a prime number. It is divisible by 2: 5742 = 2 × 2871.
What is the next prime after 5742?
5743.
What is the prime number before 5742?
5741.
What are the factors of 5742?
1, 2, 3, 6, 9, 11, 18, 22, 29, 33, 58, 66, 87, 99, 174, 198, 261, 319, 522, 638, 957, 1914, 2871, 5742.