Is 1225 a prime number?
No, 1225 is not a prime number. It is divisible by 5: 1225 = 5 × 245.
Is 1225 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 √1225 ≈ 35.00. If none of them divides 1225, it is prime.
- 3
5 divides 1225 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1225 = 5^{2} \times 7^{2} \]Testing 1225 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1225 ÷ 2 | leaves 1 |
| 3 | 1225 ÷ 3 | leaves 1 |
| 5 | 1225 ÷ 5 | divides exactly (245) |
| 7 | 1225 ÷ 7 | divides exactly (175) |
| 11 | 1225 ÷ 11 | leaves 4 |
| 13 | 1225 ÷ 13 | leaves 3 |
| 17 | 1225 ÷ 17 | leaves 1 |
| 19 | 1225 ÷ 19 | leaves 9 |
| 23 | 1225 ÷ 23 | leaves 6 |
| 29 | 1225 ÷ 29 | leaves 7 |
| 31 | 1225 ÷ 31 | leaves 16 |
Questions
Is 1225 a prime number?
No, 1225 is not a prime number. It is divisible by 5: 1225 = 5 × 245.
What is the next prime after 1225?
1229.
What is the prime number before 1225?
1223.
What are the factors of 1225?
1, 5, 7, 25, 35, 49, 175, 245, 1225.