Is 1729 a prime number?
No, 1729 is not a prime number. It is divisible by 7: 1729 = 7 × 247.
Is 1729 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 √1729 ≈ 41.58. If none of them divides 1729, it is prime.
- 3
7 divides 1729 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1729 = 7 \times 13 \times 19 \]
Testing 1729 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1729 ÷ 2 | leaves 1 |
| 3 | 1729 ÷ 3 | leaves 1 |
| 5 | 1729 ÷ 5 | leaves 4 |
| 7 | 1729 ÷ 7 | divides exactly (247) |
| 11 | 1729 ÷ 11 | leaves 2 |
| 13 | 1729 ÷ 13 | divides exactly (133) |
| 17 | 1729 ÷ 17 | leaves 12 |
| 19 | 1729 ÷ 19 | divides exactly (91) |
| 23 | 1729 ÷ 23 | leaves 4 |
| 29 | 1729 ÷ 29 | leaves 18 |
| 31 | 1729 ÷ 31 | leaves 24 |
| 37 | 1729 ÷ 37 | leaves 27 |
Questions
Is 1729 a prime number?
No, 1729 is not a prime number. It is divisible by 7: 1729 = 7 × 247.
What is the next prime after 1729?
1733.
What is the prime number before 1729?
1723.
What are the factors of 1729?
1, 7, 13, 19, 91, 133, 247, 1729.