Is 441 a prime number?
No, 441 is not a prime number. It is divisible by 3: 441 = 3 × 147.
Is 441 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 √441 ≈ 21.00. If none of them divides 441, it is prime.
- 3
3 divides 441 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 441 = 3^{2} \times 7^{2} \]Testing 441 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 441 ÷ 2 | leaves 1 |
| 3 | 441 ÷ 3 | divides exactly (147) |
| 5 | 441 ÷ 5 | leaves 1 |
| 7 | 441 ÷ 7 | divides exactly (63) |
| 11 | 441 ÷ 11 | leaves 1 |
| 13 | 441 ÷ 13 | leaves 12 |
| 17 | 441 ÷ 17 | leaves 16 |
| 19 | 441 ÷ 19 | leaves 4 |
Questions
Is 441 a prime number?
No, 441 is not a prime number. It is divisible by 3: 441 = 3 × 147.
What is the next prime after 441?
443.
What is the prime number before 441?
439.
What are the factors of 441?
1, 3, 7, 9, 21, 49, 63, 147, 441.