Is 117 a prime number?
No, 117 is not a prime number. It is divisible by 3: 117 = 3 × 39.
Is 117 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 √117 ≈ 10.82. If none of them divides 117, it is prime.
- 3
3 divides 117 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 117 = 3^{2} \times 13 \]Testing 117 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 117 ÷ 2 | leaves 1 |
| 3 | 117 ÷ 3 | divides exactly (39) |
| 5 | 117 ÷ 5 | leaves 2 |
| 7 | 117 ÷ 7 | leaves 5 |
Questions
Is 117 a prime number?
No, 117 is not a prime number. It is divisible by 3: 117 = 3 × 39.
What is the next prime after 117?
127.
What is the prime number before 117?
113.
What are the factors of 117?
1, 3, 9, 13, 39, 117.