Is 9942 a prime number?
No, 9942 is not a prime number. It is divisible by 2: 9942 = 2 × 4971.
Is 9942 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 √9942 ≈ 99.71. If none of them divides 9942, it is prime.
- 3
2 divides 9942 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9942 = 2 \times 3 \times 1657 \]
Testing 9942 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9942 ÷ 2 | divides exactly (4971) |
| 3 | 9942 ÷ 3 | divides exactly (3314) |
| 5 | 9942 ÷ 5 | leaves 2 |
| 7 | 9942 ÷ 7 | leaves 2 |
| 11 | 9942 ÷ 11 | leaves 9 |
| 13 | 9942 ÷ 13 | leaves 10 |
| 17 | 9942 ÷ 17 | leaves 14 |
| 19 | 9942 ÷ 19 | leaves 5 |
| 23 | 9942 ÷ 23 | leaves 6 |
| 29 | 9942 ÷ 29 | leaves 24 |
| 31 | 9942 ÷ 31 | leaves 22 |
| 37 | 9942 ÷ 37 | leaves 26 |
Questions
Is 9942 a prime number?
No, 9942 is not a prime number. It is divisible by 2: 9942 = 2 × 4971.
What is the next prime after 9942?
9949.
What is the prime number before 9942?
9941.
What are the factors of 9942?
1, 2, 3, 6, 1657, 3314, 4971, 9942.