Is 973 a prime number?
No, 973 is not a prime number. It is divisible by 7: 973 = 7 × 139.
Is 973 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 √973 ≈ 31.19. If none of them divides 973, it is prime.
- 3
7 divides 973 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 973 = 7 \times 139 \]
Testing 973 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 973 ÷ 2 | leaves 1 |
| 3 | 973 ÷ 3 | leaves 1 |
| 5 | 973 ÷ 5 | leaves 3 |
| 7 | 973 ÷ 7 | divides exactly (139) |
| 11 | 973 ÷ 11 | leaves 5 |
| 13 | 973 ÷ 13 | leaves 11 |
| 17 | 973 ÷ 17 | leaves 4 |
| 19 | 973 ÷ 19 | leaves 4 |
| 23 | 973 ÷ 23 | leaves 7 |
| 29 | 973 ÷ 29 | leaves 16 |
| 31 | 973 ÷ 31 | leaves 12 |
Questions
Is 973 a prime number?
No, 973 is not a prime number. It is divisible by 7: 973 = 7 × 139.
What is the next prime after 973?
977.
What is the prime number before 973?
971.
What are the factors of 973?
1, 7, 139, 973.