Is 1501 a prime number?
No, 1501 is not a prime number. It is divisible by 19: 1501 = 19 × 79.
Is 1501 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 √1501 ≈ 38.74. If none of them divides 1501, it is prime.
- 3
19 divides 1501 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1501 = 19 \times 79 \]
Testing 1501 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1501 ÷ 2 | leaves 1 |
| 3 | 1501 ÷ 3 | leaves 1 |
| 5 | 1501 ÷ 5 | leaves 1 |
| 7 | 1501 ÷ 7 | leaves 3 |
| 11 | 1501 ÷ 11 | leaves 5 |
| 13 | 1501 ÷ 13 | leaves 6 |
| 17 | 1501 ÷ 17 | leaves 5 |
| 19 | 1501 ÷ 19 | divides exactly (79) |
| 23 | 1501 ÷ 23 | leaves 6 |
| 29 | 1501 ÷ 29 | leaves 22 |
| 31 | 1501 ÷ 31 | leaves 13 |
| 37 | 1501 ÷ 37 | leaves 21 |
Questions
Is 1501 a prime number?
No, 1501 is not a prime number. It is divisible by 19: 1501 = 19 × 79.
What is the next prime after 1501?
1511.
What is the prime number before 1501?
1499.
What are the factors of 1501?
1, 19, 79, 1501.