Is 3757 a prime number?
No, 3757 is not a prime number. It is divisible by 13: 3757 = 13 × 289.
Is 3757 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 √3757 ≈ 61.29. If none of them divides 3757, it is prime.
- 3
13 divides 3757 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3757 = 13 \times 17^{2} \]Testing 3757 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3757 ÷ 2 | leaves 1 |
| 3 | 3757 ÷ 3 | leaves 1 |
| 5 | 3757 ÷ 5 | leaves 2 |
| 7 | 3757 ÷ 7 | leaves 5 |
| 11 | 3757 ÷ 11 | leaves 6 |
| 13 | 3757 ÷ 13 | divides exactly (289) |
| 17 | 3757 ÷ 17 | divides exactly (221) |
| 19 | 3757 ÷ 19 | leaves 14 |
| 23 | 3757 ÷ 23 | leaves 8 |
| 29 | 3757 ÷ 29 | leaves 16 |
| 31 | 3757 ÷ 31 | leaves 6 |
| 37 | 3757 ÷ 37 | leaves 20 |
Questions
Is 3757 a prime number?
No, 3757 is not a prime number. It is divisible by 13: 3757 = 13 × 289.
What is the next prime after 3757?
3761.
What is the prime number before 3757?
3739.
What are the factors of 3757?
1, 13, 17, 221, 289, 3757.