Is 875 a prime number?
No, 875 is not a prime number. It is divisible by 5: 875 = 5 × 175.
Is 875 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 √875 ≈ 29.58. If none of them divides 875, it is prime.
- 3
5 divides 875 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 875 = 5^{3} \times 7 \]Testing 875 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 875 ÷ 2 | leaves 1 |
| 3 | 875 ÷ 3 | leaves 2 |
| 5 | 875 ÷ 5 | divides exactly (175) |
| 7 | 875 ÷ 7 | divides exactly (125) |
| 11 | 875 ÷ 11 | leaves 6 |
| 13 | 875 ÷ 13 | leaves 4 |
| 17 | 875 ÷ 17 | leaves 8 |
| 19 | 875 ÷ 19 | leaves 1 |
| 23 | 875 ÷ 23 | leaves 1 |
| 29 | 875 ÷ 29 | leaves 5 |
Questions
Is 875 a prime number?
No, 875 is not a prime number. It is divisible by 5: 875 = 5 × 175.
What is the next prime after 875?
877.
What is the prime number before 875?
863.
What are the factors of 875?
1, 5, 7, 25, 35, 125, 175, 875.