Is 1948 a prime number?
No, 1948 is not a prime number. It is divisible by 2: 1948 = 2 × 974.
Is 1948 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 √1948 ≈ 44.14. If none of them divides 1948, it is prime.
- 3
2 divides 1948 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1948 = 2^{2} \times 487 \]Testing 1948 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1948 ÷ 2 | divides exactly (974) |
| 3 | 1948 ÷ 3 | leaves 1 |
| 5 | 1948 ÷ 5 | leaves 3 |
| 7 | 1948 ÷ 7 | leaves 2 |
| 11 | 1948 ÷ 11 | leaves 1 |
| 13 | 1948 ÷ 13 | leaves 11 |
| 17 | 1948 ÷ 17 | leaves 10 |
| 19 | 1948 ÷ 19 | leaves 10 |
| 23 | 1948 ÷ 23 | leaves 16 |
| 29 | 1948 ÷ 29 | leaves 5 |
| 31 | 1948 ÷ 31 | leaves 26 |
| 37 | 1948 ÷ 37 | leaves 24 |
Questions
Is 1948 a prime number?
No, 1948 is not a prime number. It is divisible by 2: 1948 = 2 × 974.
What is the next prime after 1948?
1949.
What is the prime number before 1948?
1933.
What are the factors of 1948?
1, 2, 4, 487, 974, 1948.