Is 1937 a prime number?
No, 1937 is not a prime number. It is divisible by 13: 1937 = 13 × 149.
Is 1937 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 √1937 ≈ 44.01. If none of them divides 1937, it is prime.
- 3
13 divides 1937 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1937 = 13 \times 149 \]
Testing 1937 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1937 ÷ 2 | leaves 1 |
| 3 | 1937 ÷ 3 | leaves 2 |
| 5 | 1937 ÷ 5 | leaves 2 |
| 7 | 1937 ÷ 7 | leaves 5 |
| 11 | 1937 ÷ 11 | leaves 1 |
| 13 | 1937 ÷ 13 | divides exactly (149) |
| 17 | 1937 ÷ 17 | leaves 16 |
| 19 | 1937 ÷ 19 | leaves 18 |
| 23 | 1937 ÷ 23 | leaves 5 |
| 29 | 1937 ÷ 29 | leaves 23 |
| 31 | 1937 ÷ 31 | leaves 15 |
| 37 | 1937 ÷ 37 | leaves 13 |
Questions
Is 1937 a prime number?
No, 1937 is not a prime number. It is divisible by 13: 1937 = 13 × 149.
What is the next prime after 1937?
1949.
What is the prime number before 1937?
1933.
What are the factors of 1937?
1, 13, 149, 1937.