Factors of 1729
The factors of 1729 are 1, 7, 13, 19, 91, 133, 247, 1729. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1729 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1729 ≈ 41.58; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 8 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 7 + 13 + 19 + 91 + 133 + 247 + 1729 = 2240. Without 1729 itself that is 511, so 1729 is a deficient number.
LaTeX source of the formulas on this page
\[ 1729 = 7 \times 13 \times 19 \]
Factor pairs of 1729
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1729 | 1 × 1729 = 1729 |
| 7 | 247 | 7 × 247 = 1729 |
| 13 | 133 | 13 × 133 = 1729 |
| 19 | 91 | 19 × 91 = 1729 |
Questions
What are the factors of 1729?
The factors of 1729 are 1, 7, 13, 19, 91, 133, 247, 1729. It has 8 factors.
What are the prime factors of 1729?
7, 13, 19. As a product: 7 × 13 × 19.
How many factors does 1729 have?
1729 has 8 factors (4 factor pairs).
What is the sum of the factors of 1729?
2240.
Is 1729 a prime number?
No. It is divisible by 7, so 1729 = 7 × 247.