Is 5467 a prime number?
No, 5467 is not a prime number. It is divisible by 7: 5467 = 7 × 781.
Is 5467 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 √5467 ≈ 73.94. If none of them divides 5467, it is prime.
- 3
7 divides 5467 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5467 = 7 \times 11 \times 71 \]
Testing 5467 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5467 ÷ 2 | leaves 1 |
| 3 | 5467 ÷ 3 | leaves 1 |
| 5 | 5467 ÷ 5 | leaves 2 |
| 7 | 5467 ÷ 7 | divides exactly (781) |
| 11 | 5467 ÷ 11 | divides exactly (497) |
| 13 | 5467 ÷ 13 | leaves 7 |
| 17 | 5467 ÷ 17 | leaves 10 |
| 19 | 5467 ÷ 19 | leaves 14 |
| 23 | 5467 ÷ 23 | leaves 16 |
| 29 | 5467 ÷ 29 | leaves 15 |
| 31 | 5467 ÷ 31 | leaves 11 |
| 37 | 5467 ÷ 37 | leaves 28 |
Questions
Is 5467 a prime number?
No, 5467 is not a prime number. It is divisible by 7: 5467 = 7 × 781.
What is the next prime after 5467?
5471.
What is the prime number before 5467?
5449.
What are the factors of 5467?
1, 7, 11, 71, 77, 497, 781, 5467.