Is 1421 a prime number?
No, 1421 is not a prime number. It is divisible by 7: 1421 = 7 × 203.
Is 1421 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 √1421 ≈ 37.70. If none of them divides 1421, it is prime.
- 3
7 divides 1421 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1421 = 7^{2} \times 29 \]Testing 1421 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1421 ÷ 2 | leaves 1 |
| 3 | 1421 ÷ 3 | leaves 2 |
| 5 | 1421 ÷ 5 | leaves 1 |
| 7 | 1421 ÷ 7 | divides exactly (203) |
| 11 | 1421 ÷ 11 | leaves 2 |
| 13 | 1421 ÷ 13 | leaves 4 |
| 17 | 1421 ÷ 17 | leaves 10 |
| 19 | 1421 ÷ 19 | leaves 15 |
| 23 | 1421 ÷ 23 | leaves 18 |
| 29 | 1421 ÷ 29 | divides exactly (49) |
| 31 | 1421 ÷ 31 | leaves 26 |
| 37 | 1421 ÷ 37 | leaves 15 |
Questions
Is 1421 a prime number?
No, 1421 is not a prime number. It is divisible by 7: 1421 = 7 × 203.
What is the next prime after 1421?
1423.
What is the prime number before 1421?
1409.
What are the factors of 1421?
1, 7, 29, 49, 203, 1421.