Is 2948 a prime number?
No, 2948 is not a prime number. It is divisible by 2: 2948 = 2 × 1474.
Is 2948 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 √2948 ≈ 54.30. If none of them divides 2948, it is prime.
- 3
2 divides 2948 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2948 = 2^{2} \times 11 \times 67 \]Testing 2948 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2948 ÷ 2 | divides exactly (1474) |
| 3 | 2948 ÷ 3 | leaves 2 |
| 5 | 2948 ÷ 5 | leaves 3 |
| 7 | 2948 ÷ 7 | leaves 1 |
| 11 | 2948 ÷ 11 | divides exactly (268) |
| 13 | 2948 ÷ 13 | leaves 10 |
| 17 | 2948 ÷ 17 | leaves 7 |
| 19 | 2948 ÷ 19 | leaves 3 |
| 23 | 2948 ÷ 23 | leaves 4 |
| 29 | 2948 ÷ 29 | leaves 19 |
| 31 | 2948 ÷ 31 | leaves 3 |
| 37 | 2948 ÷ 37 | leaves 25 |
Questions
Is 2948 a prime number?
No, 2948 is not a prime number. It is divisible by 2: 2948 = 2 × 1474.
What is the next prime after 2948?
2953.
What is the prime number before 2948?
2939.
What are the factors of 2948?
1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474, 2948.