Is 2142 a prime number?
No, 2142 is not a prime number. It is divisible by 2: 2142 = 2 × 1071.
Is 2142 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 √2142 ≈ 46.28. If none of them divides 2142, it is prime.
- 3
2 divides 2142 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2142 = 2 \times 3^{2} \times 7 \times 17 \]Testing 2142 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2142 ÷ 2 | divides exactly (1071) |
| 3 | 2142 ÷ 3 | divides exactly (714) |
| 5 | 2142 ÷ 5 | leaves 2 |
| 7 | 2142 ÷ 7 | divides exactly (306) |
| 11 | 2142 ÷ 11 | leaves 8 |
| 13 | 2142 ÷ 13 | leaves 10 |
| 17 | 2142 ÷ 17 | divides exactly (126) |
| 19 | 2142 ÷ 19 | leaves 14 |
| 23 | 2142 ÷ 23 | leaves 3 |
| 29 | 2142 ÷ 29 | leaves 25 |
| 31 | 2142 ÷ 31 | leaves 3 |
| 37 | 2142 ÷ 37 | leaves 33 |
Questions
Is 2142 a prime number?
No, 2142 is not a prime number. It is divisible by 2: 2142 = 2 × 1071.
What is the next prime after 2142?
2143.
What is the prime number before 2142?
2141.
What are the factors of 2142?
1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142.