Is 3748 a prime number?
No, 3748 is not a prime number. It is divisible by 2: 3748 = 2 × 1874.
Is 3748 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 √3748 ≈ 61.22. If none of them divides 3748, it is prime.
- 3
2 divides 3748 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3748 = 2^{2} \times 937 \]Testing 3748 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3748 ÷ 2 | divides exactly (1874) |
| 3 | 3748 ÷ 3 | leaves 1 |
| 5 | 3748 ÷ 5 | leaves 3 |
| 7 | 3748 ÷ 7 | leaves 3 |
| 11 | 3748 ÷ 11 | leaves 8 |
| 13 | 3748 ÷ 13 | leaves 4 |
| 17 | 3748 ÷ 17 | leaves 8 |
| 19 | 3748 ÷ 19 | leaves 5 |
| 23 | 3748 ÷ 23 | leaves 22 |
| 29 | 3748 ÷ 29 | leaves 7 |
| 31 | 3748 ÷ 31 | leaves 28 |
| 37 | 3748 ÷ 37 | leaves 11 |
Questions
Is 3748 a prime number?
No, 3748 is not a prime number. It is divisible by 2: 3748 = 2 × 1874.
What is the next prime after 3748?
3761.
What is the prime number before 3748?
3739.
What are the factors of 3748?
1, 2, 4, 937, 1874, 3748.