Is 125 a prime number?
No, 125 is not a prime number. It is divisible by 5: 125 = 5 × 25.
Is 125 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 √125 ≈ 11.18. If none of them divides 125, it is prime.
- 3
5 divides 125 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 125 = 5^{3} \]Testing 125 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 125 ÷ 2 | leaves 1 |
| 3 | 125 ÷ 3 | leaves 2 |
| 5 | 125 ÷ 5 | divides exactly (25) |
| 7 | 125 ÷ 7 | leaves 6 |
| 11 | 125 ÷ 11 | leaves 4 |
Questions
Is 125 a prime number?
No, 125 is not a prime number. It is divisible by 5: 125 = 5 × 25.
What is the next prime after 125?
127.
What is the prime number before 125?
113.
What are the factors of 125?
1, 5, 25, 125.