Is 1350 a prime number?
No, 1350 is not a prime number. It is divisible by 2: 1350 = 2 × 675.
Is 1350 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 √1350 ≈ 36.74. If none of them divides 1350, it is prime.
- 3
2 divides 1350 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1350 = 2 \times 3^{3} \times 5^{2} \]Testing 1350 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1350 ÷ 2 | divides exactly (675) |
| 3 | 1350 ÷ 3 | divides exactly (450) |
| 5 | 1350 ÷ 5 | divides exactly (270) |
| 7 | 1350 ÷ 7 | leaves 6 |
| 11 | 1350 ÷ 11 | leaves 8 |
| 13 | 1350 ÷ 13 | leaves 11 |
| 17 | 1350 ÷ 17 | leaves 7 |
| 19 | 1350 ÷ 19 | leaves 1 |
| 23 | 1350 ÷ 23 | leaves 16 |
| 29 | 1350 ÷ 29 | leaves 16 |
| 31 | 1350 ÷ 31 | leaves 17 |
Questions
Is 1350 a prime number?
No, 1350 is not a prime number. It is divisible by 2: 1350 = 2 × 675.
What is the next prime after 1350?
1361.
What is the prime number before 1350?
1327.
What are the factors of 1350?
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350.