Is 9975 a prime number?
No, 9975 is not a prime number. It is divisible by 3: 9975 = 3 × 3325.
Is 9975 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 √9975 ≈ 99.87. If none of them divides 9975, it is prime.
- 3
3 divides 9975 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9975 = 3 \times 5^{2} \times 7 \times 19 \]Testing 9975 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9975 ÷ 2 | leaves 1 |
| 3 | 9975 ÷ 3 | divides exactly (3325) |
| 5 | 9975 ÷ 5 | divides exactly (1995) |
| 7 | 9975 ÷ 7 | divides exactly (1425) |
| 11 | 9975 ÷ 11 | leaves 9 |
| 13 | 9975 ÷ 13 | leaves 4 |
| 17 | 9975 ÷ 17 | leaves 13 |
| 19 | 9975 ÷ 19 | divides exactly (525) |
| 23 | 9975 ÷ 23 | leaves 16 |
| 29 | 9975 ÷ 29 | leaves 28 |
| 31 | 9975 ÷ 31 | leaves 24 |
| 37 | 9975 ÷ 37 | leaves 22 |
Questions
Is 9975 a prime number?
No, 9975 is not a prime number. It is divisible by 3: 9975 = 3 × 3325.
What is the next prime after 9975?
10007.
What is the prime number before 9975?
9973.
What are the factors of 9975?
1, 3, 5, 7, 15, 19, 21, 25, 35, 57, 75, 95, 105, 133, 175, 285, 399, 475, 525, 665, 1425, 1995, 3325, 9975.