Is 1200 a prime number?
No, 1200 is not a prime number. It is divisible by 2: 1200 = 2 × 600.
Is 1200 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 √1200 ≈ 34.64. If none of them divides 1200, it is prime.
- 3
2 divides 1200 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1200 = 2^{4} \times 3 \times 5^{2} \]Testing 1200 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1200 ÷ 2 | divides exactly (600) |
| 3 | 1200 ÷ 3 | divides exactly (400) |
| 5 | 1200 ÷ 5 | divides exactly (240) |
| 7 | 1200 ÷ 7 | leaves 3 |
| 11 | 1200 ÷ 11 | leaves 1 |
| 13 | 1200 ÷ 13 | leaves 4 |
| 17 | 1200 ÷ 17 | leaves 10 |
| 19 | 1200 ÷ 19 | leaves 3 |
| 23 | 1200 ÷ 23 | leaves 4 |
| 29 | 1200 ÷ 29 | leaves 11 |
| 31 | 1200 ÷ 31 | leaves 22 |
Questions
Is 1200 a prime number?
No, 1200 is not a prime number. It is divisible by 2: 1200 = 2 × 600.
What is the next prime after 1200?
1201.
What is the prime number before 1200?
1193.
What are the factors of 1200?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200.