Is 1940 a prime number?
No, 1940 is not a prime number. It is divisible by 2: 1940 = 2 × 970.
Is 1940 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 √1940 ≈ 44.05. If none of them divides 1940, it is prime.
- 3
2 divides 1940 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1940 = 2^{2} \times 5 \times 97 \]Testing 1940 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1940 ÷ 2 | divides exactly (970) |
| 3 | 1940 ÷ 3 | leaves 2 |
| 5 | 1940 ÷ 5 | divides exactly (388) |
| 7 | 1940 ÷ 7 | leaves 1 |
| 11 | 1940 ÷ 11 | leaves 4 |
| 13 | 1940 ÷ 13 | leaves 3 |
| 17 | 1940 ÷ 17 | leaves 2 |
| 19 | 1940 ÷ 19 | leaves 2 |
| 23 | 1940 ÷ 23 | leaves 8 |
| 29 | 1940 ÷ 29 | leaves 26 |
| 31 | 1940 ÷ 31 | leaves 18 |
| 37 | 1940 ÷ 37 | leaves 16 |
Questions
Is 1940 a prime number?
No, 1940 is not a prime number. It is divisible by 2: 1940 = 2 × 970.
What is the next prime after 1940?
1949.
What is the prime number before 1940?
1933.
What are the factors of 1940?
1, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970, 1940.