Is 1521 a prime number?
No, 1521 is not a prime number. It is divisible by 3: 1521 = 3 × 507.
Is 1521 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 √1521 ≈ 39.00. If none of them divides 1521, it is prime.
- 3
3 divides 1521 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1521 = 3^{2} \times 13^{2} \]Testing 1521 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1521 ÷ 2 | leaves 1 |
| 3 | 1521 ÷ 3 | divides exactly (507) |
| 5 | 1521 ÷ 5 | leaves 1 |
| 7 | 1521 ÷ 7 | leaves 2 |
| 11 | 1521 ÷ 11 | leaves 3 |
| 13 | 1521 ÷ 13 | divides exactly (117) |
| 17 | 1521 ÷ 17 | leaves 8 |
| 19 | 1521 ÷ 19 | leaves 1 |
| 23 | 1521 ÷ 23 | leaves 3 |
| 29 | 1521 ÷ 29 | leaves 13 |
| 31 | 1521 ÷ 31 | leaves 2 |
| 37 | 1521 ÷ 37 | leaves 4 |
Questions
Is 1521 a prime number?
No, 1521 is not a prime number. It is divisible by 3: 1521 = 3 × 507.
What is the next prime after 1521?
1523.
What is the prime number before 1521?
1511.
What are the factors of 1521?
1, 3, 9, 13, 39, 117, 169, 507, 1521.