Is 1197 a prime number?
No, 1197 is not a prime number. It is divisible by 3: 1197 = 3 × 399.
Is 1197 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 √1197 ≈ 34.60. If none of them divides 1197, it is prime.
- 3
3 divides 1197 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1197 = 3^{2} \times 7 \times 19 \]Testing 1197 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1197 ÷ 2 | leaves 1 |
| 3 | 1197 ÷ 3 | divides exactly (399) |
| 5 | 1197 ÷ 5 | leaves 2 |
| 7 | 1197 ÷ 7 | divides exactly (171) |
| 11 | 1197 ÷ 11 | leaves 9 |
| 13 | 1197 ÷ 13 | leaves 1 |
| 17 | 1197 ÷ 17 | leaves 7 |
| 19 | 1197 ÷ 19 | divides exactly (63) |
| 23 | 1197 ÷ 23 | leaves 1 |
| 29 | 1197 ÷ 29 | leaves 8 |
| 31 | 1197 ÷ 31 | leaves 19 |
Questions
Is 1197 a prime number?
No, 1197 is not a prime number. It is divisible by 3: 1197 = 3 × 399.
What is the next prime after 1197?
1201.
What is the prime number before 1197?
1193.
What are the factors of 1197?
1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399, 1197.