Is 9972 a prime number?
No, 9972 is not a prime number. It is divisible by 2: 9972 = 2 × 4986.
Is 9972 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 √9972 ≈ 99.86. If none of them divides 9972, it is prime.
- 3
2 divides 9972 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9972 = 2^{2} \times 3^{2} \times 277 \]Testing 9972 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9972 ÷ 2 | divides exactly (4986) |
| 3 | 9972 ÷ 3 | divides exactly (3324) |
| 5 | 9972 ÷ 5 | leaves 2 |
| 7 | 9972 ÷ 7 | leaves 4 |
| 11 | 9972 ÷ 11 | leaves 6 |
| 13 | 9972 ÷ 13 | leaves 1 |
| 17 | 9972 ÷ 17 | leaves 10 |
| 19 | 9972 ÷ 19 | leaves 16 |
| 23 | 9972 ÷ 23 | leaves 13 |
| 29 | 9972 ÷ 29 | leaves 25 |
| 31 | 9972 ÷ 31 | leaves 21 |
| 37 | 9972 ÷ 37 | leaves 19 |
Questions
Is 9972 a prime number?
No, 9972 is not a prime number. It is divisible by 2: 9972 = 2 × 4986.
What is the next prime after 9972?
9973.
What is the prime number before 9972?
9967.
What are the factors of 9972?
1, 2, 3, 4, 6, 9, 12, 18, 36, 277, 554, 831, 1108, 1662, 2493, 3324, 4986, 9972.