Factors of 1736
The factors of 1736 are 1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 1736. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1736 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1736 ≈ 41.67; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 3840. Without 1736 itself that is 2104, so 1736 is an abundant number.
LaTeX source of the formulas on this page
\[ 1736 = 2^{3} \times 7 \times 31 \]Factor pairs of 1736
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1736 | 1 × 1736 = 1736 |
| 2 | 868 | 2 × 868 = 1736 |
| 4 | 434 | 4 × 434 = 1736 |
| 7 | 248 | 7 × 248 = 1736 |
| 8 | 217 | 8 × 217 = 1736 |
| 14 | 124 | 14 × 124 = 1736 |
| 28 | 62 | 28 × 62 = 1736 |
| 31 | 56 | 31 × 56 = 1736 |
Questions
What are the factors of 1736?
The factors of 1736 are 1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 1736. It has 16 factors.
What are the prime factors of 1736?
2, 7, 31. As a product: × 7 × 31.
How many factors does 1736 have?
1736 has 16 factors (8 factor pairs).
What is the sum of the factors of 1736?
3840.
Is 1736 a prime number?
No. It is divisible by 2, so 1736 = 2 × 868.