Is 9464 a prime number?
No, 9464 is not a prime number. It is divisible by 2: 9464 = 2 × 4732.
Is 9464 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 √9464 ≈ 97.28. If none of them divides 9464, it is prime.
- 3
2 divides 9464 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9464 = 2^{3} \times 7 \times 13^{2} \]Testing 9464 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9464 ÷ 2 | divides exactly (4732) |
| 3 | 9464 ÷ 3 | leaves 2 |
| 5 | 9464 ÷ 5 | leaves 4 |
| 7 | 9464 ÷ 7 | divides exactly (1352) |
| 11 | 9464 ÷ 11 | leaves 4 |
| 13 | 9464 ÷ 13 | divides exactly (728) |
| 17 | 9464 ÷ 17 | leaves 12 |
| 19 | 9464 ÷ 19 | leaves 2 |
| 23 | 9464 ÷ 23 | leaves 11 |
| 29 | 9464 ÷ 29 | leaves 10 |
| 31 | 9464 ÷ 31 | leaves 9 |
| 37 | 9464 ÷ 37 | leaves 29 |
Questions
Is 9464 a prime number?
No, 9464 is not a prime number. It is divisible by 2: 9464 = 2 × 4732.
What is the next prime after 9464?
9467.
What is the prime number before 9464?
9463.
What are the factors of 9464?
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732, 9464.