Is 3744 a prime number?
No, 3744 is not a prime number. It is divisible by 2: 3744 = 2 × 1872.
Is 3744 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 √3744 ≈ 61.19. If none of them divides 3744, it is prime.
- 3
2 divides 3744 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3744 = 2^{5} \times 3^{2} \times 13 \]Testing 3744 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3744 ÷ 2 | divides exactly (1872) |
| 3 | 3744 ÷ 3 | divides exactly (1248) |
| 5 | 3744 ÷ 5 | leaves 4 |
| 7 | 3744 ÷ 7 | leaves 6 |
| 11 | 3744 ÷ 11 | leaves 4 |
| 13 | 3744 ÷ 13 | divides exactly (288) |
| 17 | 3744 ÷ 17 | leaves 4 |
| 19 | 3744 ÷ 19 | leaves 1 |
| 23 | 3744 ÷ 23 | leaves 18 |
| 29 | 3744 ÷ 29 | leaves 3 |
| 31 | 3744 ÷ 31 | leaves 24 |
| 37 | 3744 ÷ 37 | leaves 7 |
Questions
Is 3744 a prime number?
No, 3744 is not a prime number. It is divisible by 2: 3744 = 2 × 1872.
What is the next prime after 3744?
3761.
What is the prime number before 3744?
3739.
What are the factors of 3744?
1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872, 3744.