Is 442 a prime number?
No, 442 is not a prime number. It is divisible by 2: 442 = 2 × 221.
Is 442 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 √442 ≈ 21.02. If none of them divides 442, it is prime.
- 3
2 divides 442 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 442 = 2 \times 13 \times 17 \]
Testing 442 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 442 ÷ 2 | divides exactly (221) |
| 3 | 442 ÷ 3 | leaves 1 |
| 5 | 442 ÷ 5 | leaves 2 |
| 7 | 442 ÷ 7 | leaves 1 |
| 11 | 442 ÷ 11 | leaves 2 |
| 13 | 442 ÷ 13 | divides exactly (34) |
| 17 | 442 ÷ 17 | divides exactly (26) |
| 19 | 442 ÷ 19 | leaves 5 |
Questions
Is 442 a prime number?
No, 442 is not a prime number. It is divisible by 2: 442 = 2 × 221.
What is the next prime after 442?
443.
What is the prime number before 442?
439.
What are the factors of 442?
1, 2, 13, 17, 26, 34, 221, 442.