Is 1500 a prime number?
No, 1500 is not a prime number. It is divisible by 2: 1500 = 2 × 750.
Is 1500 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 √1500 ≈ 38.73. If none of them divides 1500, it is prime.
- 3
2 divides 1500 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1500 = 2^{2} \times 3 \times 5^{3} \]Testing 1500 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1500 ÷ 2 | divides exactly (750) |
| 3 | 1500 ÷ 3 | divides exactly (500) |
| 5 | 1500 ÷ 5 | divides exactly (300) |
| 7 | 1500 ÷ 7 | leaves 2 |
| 11 | 1500 ÷ 11 | leaves 4 |
| 13 | 1500 ÷ 13 | leaves 5 |
| 17 | 1500 ÷ 17 | leaves 4 |
| 19 | 1500 ÷ 19 | leaves 18 |
| 23 | 1500 ÷ 23 | leaves 5 |
| 29 | 1500 ÷ 29 | leaves 21 |
| 31 | 1500 ÷ 31 | leaves 12 |
| 37 | 1500 ÷ 37 | leaves 20 |
Questions
Is 1500 a prime number?
No, 1500 is not a prime number. It is divisible by 2: 1500 = 2 × 750.
What is the next prime after 1500?
1511.
What is the prime number before 1500?
1499.
What are the factors of 1500?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500.