Is 108 a prime number?
No, 108 is not a prime number. It is divisible by 2: 108 = 2 × 54.
Is 108 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 √108 ≈ 10.39. If none of them divides 108, it is prime.
- 3
2 divides 108 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 108 = 2^{2} \times 3^{3} \]Testing 108 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 108 ÷ 2 | divides exactly (54) |
| 3 | 108 ÷ 3 | divides exactly (36) |
| 5 | 108 ÷ 5 | leaves 3 |
| 7 | 108 ÷ 7 | leaves 3 |
Questions
Is 108 a prime number?
No, 108 is not a prime number. It is divisible by 2: 108 = 2 × 54.
What is the next prime after 108?
109.
What is the prime number before 108?
107.
What are the factors of 108?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108.