Factors of 1728
The factors of 1728 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, 1728. It has 28 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1728 is a whole number that divides it with nothing left over. You only need to test the numbers up to ā1728 ā 41.57; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 28 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 5080. Without 1728 itself that is 3352, so 1728 is an abundant number.
LaTeX source of the formulas on this page
\[ 1728 = 2^{6} \times 3^{3} \]Factor pairs of 1728
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1728 | 1 Ć 1728 = 1728 |
| 2 | 864 | 2 Ć 864 = 1728 |
| 3 | 576 | 3 Ć 576 = 1728 |
| 4 | 432 | 4 Ć 432 = 1728 |
| 6 | 288 | 6 Ć 288 = 1728 |
| 8 | 216 | 8 Ć 216 = 1728 |
| 9 | 192 | 9 Ć 192 = 1728 |
| 12 | 144 | 12 Ć 144 = 1728 |
| 16 | 108 | 16 Ć 108 = 1728 |
| 18 | 96 | 18 Ć 96 = 1728 |
| 24 | 72 | 24 Ć 72 = 1728 |
| 27 | 64 | 27 Ć 64 = 1728 |
| 32 | 54 | 32 Ć 54 = 1728 |
| 36 | 48 | 36 Ć 48 = 1728 |
Questions
What are the factors of 1728?
The factors of 1728 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, 1728. It has 28 factors.
What are the prime factors of 1728?
2, 3. As a product: Ć .
How many factors does 1728 have?
1728 has 28 factors (14 factor pairs).
What is the sum of the factors of 1728?
5080.
Is 1728 a prime number?
No. It is divisible by 2, so 1728 = 2 Ć 864.