Is 3743 a prime number?
No, 3743 is not a prime number. It is divisible by 19: 3743 = 19 × 197.
Is 3743 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 √3743 ≈ 61.18. If none of them divides 3743, it is prime.
- 3
19 divides 3743 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3743 = 19 \times 197 \]
Testing 3743 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3743 ÷ 2 | leaves 1 |
| 3 | 3743 ÷ 3 | leaves 2 |
| 5 | 3743 ÷ 5 | leaves 3 |
| 7 | 3743 ÷ 7 | leaves 5 |
| 11 | 3743 ÷ 11 | leaves 3 |
| 13 | 3743 ÷ 13 | leaves 12 |
| 17 | 3743 ÷ 17 | leaves 3 |
| 19 | 3743 ÷ 19 | divides exactly (197) |
| 23 | 3743 ÷ 23 | leaves 17 |
| 29 | 3743 ÷ 29 | leaves 2 |
| 31 | 3743 ÷ 31 | leaves 23 |
| 37 | 3743 ÷ 37 | leaves 6 |
Questions
Is 3743 a prime number?
No, 3743 is not a prime number. It is divisible by 19: 3743 = 19 × 197.
What is the next prime after 3743?
3761.
What is the prime number before 3743?
3739.
What are the factors of 3743?
1, 19, 197, 3743.