Is 901 a prime number?
No, 901 is not a prime number. It is divisible by 17: 901 = 17 × 53.
Is 901 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 √901 ≈ 30.02. If none of them divides 901, it is prime.
- 3
17 divides 901 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 901 = 17 \times 53 \]
Testing 901 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 901 ÷ 2 | leaves 1 |
| 3 | 901 ÷ 3 | leaves 1 |
| 5 | 901 ÷ 5 | leaves 1 |
| 7 | 901 ÷ 7 | leaves 5 |
| 11 | 901 ÷ 11 | leaves 10 |
| 13 | 901 ÷ 13 | leaves 4 |
| 17 | 901 ÷ 17 | divides exactly (53) |
| 19 | 901 ÷ 19 | leaves 8 |
| 23 | 901 ÷ 23 | leaves 4 |
| 29 | 901 ÷ 29 | leaves 2 |
Questions
Is 901 a prime number?
No, 901 is not a prime number. It is divisible by 17: 901 = 17 × 53.
What is the next prime after 901?
907.
What is the prime number before 901?
887.
What are the factors of 901?
1, 17, 53, 901.