Is 4401 a prime number?
No, 4401 is not a prime number. It is divisible by 3: 4401 = 3 × 1467.
Is 4401 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 √4401 ≈ 66.34. If none of them divides 4401, it is prime.
- 3
3 divides 4401 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 4401 = 3^{3} \times 163 \]Testing 4401 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 4401 ÷ 2 | leaves 1 |
| 3 | 4401 ÷ 3 | divides exactly (1467) |
| 5 | 4401 ÷ 5 | leaves 1 |
| 7 | 4401 ÷ 7 | leaves 5 |
| 11 | 4401 ÷ 11 | leaves 1 |
| 13 | 4401 ÷ 13 | leaves 7 |
| 17 | 4401 ÷ 17 | leaves 15 |
| 19 | 4401 ÷ 19 | leaves 12 |
| 23 | 4401 ÷ 23 | leaves 8 |
| 29 | 4401 ÷ 29 | leaves 22 |
| 31 | 4401 ÷ 31 | leaves 30 |
| 37 | 4401 ÷ 37 | leaves 35 |
Questions
Is 4401 a prime number?
No, 4401 is not a prime number. It is divisible by 3: 4401 = 3 × 1467.
What is the next prime after 4401?
4409.
What is the prime number before 4401?
4397.
What are the factors of 4401?
1, 3, 9, 27, 163, 489, 1467, 4401.