Is 978 a prime number?
No, 978 is not a prime number. It is divisible by 2: 978 = 2 × 489.
Is 978 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 √978 ≈ 31.27. If none of them divides 978, it is prime.
- 3
2 divides 978 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 978 = 2 \times 3 \times 163 \]
Testing 978 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 978 ÷ 2 | divides exactly (489) |
| 3 | 978 ÷ 3 | divides exactly (326) |
| 5 | 978 ÷ 5 | leaves 3 |
| 7 | 978 ÷ 7 | leaves 5 |
| 11 | 978 ÷ 11 | leaves 10 |
| 13 | 978 ÷ 13 | leaves 3 |
| 17 | 978 ÷ 17 | leaves 9 |
| 19 | 978 ÷ 19 | leaves 9 |
| 23 | 978 ÷ 23 | leaves 12 |
| 29 | 978 ÷ 29 | leaves 21 |
| 31 | 978 ÷ 31 | leaves 17 |
Questions
Is 978 a prime number?
No, 978 is not a prime number. It is divisible by 2: 978 = 2 × 489.
What is the next prime after 978?
983.
What is the prime number before 978?
977.
What are the factors of 978?
1, 2, 3, 6, 163, 326, 489, 978.