Is 801 a prime number?
No, 801 is not a prime number. It is divisible by 3: 801 = 3 × 267.
Is 801 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 √801 ≈ 28.30. If none of them divides 801, it is prime.
- 3
3 divides 801 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 801 = 3^{2} \times 89 \]Testing 801 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 801 ÷ 2 | leaves 1 |
| 3 | 801 ÷ 3 | divides exactly (267) |
| 5 | 801 ÷ 5 | leaves 1 |
| 7 | 801 ÷ 7 | leaves 3 |
| 11 | 801 ÷ 11 | leaves 9 |
| 13 | 801 ÷ 13 | leaves 8 |
| 17 | 801 ÷ 17 | leaves 2 |
| 19 | 801 ÷ 19 | leaves 3 |
| 23 | 801 ÷ 23 | leaves 19 |
Questions
Is 801 a prime number?
No, 801 is not a prime number. It is divisible by 3: 801 = 3 × 267.
What is the next prime after 801?
809.
What is the prime number before 801?
797.
What are the factors of 801?
1, 3, 9, 89, 267, 801.