Is 900 a prime number?
No, 900 is not a prime number. It is divisible by 2: 900 = 2 × 450.
Is 900 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 √900 ≈ 30.00. If none of them divides 900, it is prime.
- 3
2 divides 900 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 900 = 2^{2} \times 3^{2} \times 5^{2} \]Testing 900 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 900 ÷ 2 | divides exactly (450) |
| 3 | 900 ÷ 3 | divides exactly (300) |
| 5 | 900 ÷ 5 | divides exactly (180) |
| 7 | 900 ÷ 7 | leaves 4 |
| 11 | 900 ÷ 11 | leaves 9 |
| 13 | 900 ÷ 13 | leaves 3 |
| 17 | 900 ÷ 17 | leaves 16 |
| 19 | 900 ÷ 19 | leaves 7 |
| 23 | 900 ÷ 23 | leaves 3 |
| 29 | 900 ÷ 29 | leaves 1 |
Questions
Is 900 a prime number?
No, 900 is not a prime number. It is divisible by 2: 900 = 2 × 450.
What is the next prime after 900?
907.
What is the prime number before 900?
887.
What are the factors of 900?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900.