Is 972 a prime number?
No, 972 is not a prime number. It is divisible by 2: 972 = 2 × 486.
Is 972 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 √972 ≈ 31.18. If none of them divides 972, it is prime.
- 3
2 divides 972 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 972 = 2^{2} \times 3^{5} \]Testing 972 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 972 ÷ 2 | divides exactly (486) |
| 3 | 972 ÷ 3 | divides exactly (324) |
| 5 | 972 ÷ 5 | leaves 2 |
| 7 | 972 ÷ 7 | leaves 6 |
| 11 | 972 ÷ 11 | leaves 4 |
| 13 | 972 ÷ 13 | leaves 10 |
| 17 | 972 ÷ 17 | leaves 3 |
| 19 | 972 ÷ 19 | leaves 3 |
| 23 | 972 ÷ 23 | leaves 6 |
| 29 | 972 ÷ 29 | leaves 15 |
| 31 | 972 ÷ 31 | leaves 11 |
Questions
Is 972 a prime number?
No, 972 is not a prime number. It is divisible by 2: 972 = 2 × 486.
What is the next prime after 972?
977.
What is the prime number before 972?
971.
What are the factors of 972?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972.