Is 3948 a prime number?
No, 3948 is not a prime number. It is divisible by 2: 3948 = 2 × 1974.
Is 3948 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 √3948 ≈ 62.83. If none of them divides 3948, it is prime.
- 3
2 divides 3948 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3948 = 2^{2} \times 3 \times 7 \times 47 \]Testing 3948 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3948 ÷ 2 | divides exactly (1974) |
| 3 | 3948 ÷ 3 | divides exactly (1316) |
| 5 | 3948 ÷ 5 | leaves 3 |
| 7 | 3948 ÷ 7 | divides exactly (564) |
| 11 | 3948 ÷ 11 | leaves 10 |
| 13 | 3948 ÷ 13 | leaves 9 |
| 17 | 3948 ÷ 17 | leaves 4 |
| 19 | 3948 ÷ 19 | leaves 15 |
| 23 | 3948 ÷ 23 | leaves 15 |
| 29 | 3948 ÷ 29 | leaves 4 |
| 31 | 3948 ÷ 31 | leaves 11 |
| 37 | 3948 ÷ 37 | leaves 26 |
Questions
Is 3948 a prime number?
No, 3948 is not a prime number. It is divisible by 2: 3948 = 2 × 1974.
What is the next prime after 3948?
3967.
What is the prime number before 3948?
3947.
What are the factors of 3948?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974, 3948.