Is 5746 a prime number?
No, 5746 is not a prime number. It is divisible by 2: 5746 = 2 × 2873.
Is 5746 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 √5746 ≈ 75.80. If none of them divides 5746, it is prime.
- 3
2 divides 5746 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5746 = 2 \times 13^{2} \times 17 \]Testing 5746 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5746 ÷ 2 | divides exactly (2873) |
| 3 | 5746 ÷ 3 | leaves 1 |
| 5 | 5746 ÷ 5 | leaves 1 |
| 7 | 5746 ÷ 7 | leaves 6 |
| 11 | 5746 ÷ 11 | leaves 4 |
| 13 | 5746 ÷ 13 | divides exactly (442) |
| 17 | 5746 ÷ 17 | divides exactly (338) |
| 19 | 5746 ÷ 19 | leaves 8 |
| 23 | 5746 ÷ 23 | leaves 19 |
| 29 | 5746 ÷ 29 | leaves 4 |
| 31 | 5746 ÷ 31 | leaves 11 |
| 37 | 5746 ÷ 37 | leaves 11 |
Questions
Is 5746 a prime number?
No, 5746 is not a prime number. It is divisible by 2: 5746 = 2 × 2873.
What is the next prime after 5746?
5749.
What is the prime number before 5746?
5743.
What are the factors of 5746?
1, 2, 13, 17, 26, 34, 169, 221, 338, 442, 2873, 5746.