Is 10000 a prime number?
No, 10000 is not a prime number. It is divisible by 2: 10000 = 2 × 5000.
Is 10000 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 √10000 ≈ 100.00. If none of them divides 10000, it is prime.
- 3
2 divides 10000 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 10000 = 2^{4} \times 5^{4} \]Testing 10000 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 10000 ÷ 2 | divides exactly (5000) |
| 3 | 10000 ÷ 3 | leaves 1 |
| 5 | 10000 ÷ 5 | divides exactly (2000) |
| 7 | 10000 ÷ 7 | leaves 4 |
| 11 | 10000 ÷ 11 | leaves 1 |
| 13 | 10000 ÷ 13 | leaves 3 |
| 17 | 10000 ÷ 17 | leaves 4 |
| 19 | 10000 ÷ 19 | leaves 6 |
| 23 | 10000 ÷ 23 | leaves 18 |
| 29 | 10000 ÷ 29 | leaves 24 |
| 31 | 10000 ÷ 31 | leaves 18 |
| 37 | 10000 ÷ 37 | leaves 10 |
Questions
Is 10000 a prime number?
No, 10000 is not a prime number. It is divisible by 2: 10000 = 2 × 5000.
What is the next prime after 10000?
10007.
What is the prime number before 10000?
9973.
What are the factors of 10000?
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 5000, 10000.