Is 7201 a prime number?
No, 7201 is not a prime number. It is divisible by 19: 7201 = 19 × 379.
Is 7201 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 √7201 ≈ 84.86. If none of them divides 7201, it is prime.
- 3
19 divides 7201 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 7201 = 19 \times 379 \]
Testing 7201 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 7201 ÷ 2 | leaves 1 |
| 3 | 7201 ÷ 3 | leaves 1 |
| 5 | 7201 ÷ 5 | leaves 1 |
| 7 | 7201 ÷ 7 | leaves 5 |
| 11 | 7201 ÷ 11 | leaves 7 |
| 13 | 7201 ÷ 13 | leaves 12 |
| 17 | 7201 ÷ 17 | leaves 10 |
| 19 | 7201 ÷ 19 | divides exactly (379) |
| 23 | 7201 ÷ 23 | leaves 2 |
| 29 | 7201 ÷ 29 | leaves 9 |
| 31 | 7201 ÷ 31 | leaves 9 |
| 37 | 7201 ÷ 37 | leaves 23 |
Questions
Is 7201 a prime number?
No, 7201 is not a prime number. It is divisible by 19: 7201 = 19 × 379.
What is the next prime after 7201?
7207.
What is the prime number before 7201?
7193.
What are the factors of 7201?
1, 19, 379, 7201.