Is 364 a prime number?
No, 364 is not a prime number. It is divisible by 2: 364 = 2 × 182.
Is 364 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 √364 ≈ 19.08. If none of them divides 364, it is prime.
- 3
2 divides 364 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 364 = 2^{2} \times 7 \times 13 \]Testing 364 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 364 ÷ 2 | divides exactly (182) |
| 3 | 364 ÷ 3 | leaves 1 |
| 5 | 364 ÷ 5 | leaves 4 |
| 7 | 364 ÷ 7 | divides exactly (52) |
| 11 | 364 ÷ 11 | leaves 1 |
| 13 | 364 ÷ 13 | divides exactly (28) |
| 17 | 364 ÷ 17 | leaves 7 |
| 19 | 364 ÷ 19 | leaves 3 |
Questions
Is 364 a prime number?
No, 364 is not a prime number. It is divisible by 2: 364 = 2 × 182.
What is the next prime after 364?
367.
What is the prime number before 364?
359.
What are the factors of 364?
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364.