Factors of 728
The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 728 is a whole number that divides it with nothing left over. You only need to test the numbers up to √728 ≈ 26.98; 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 1680. Without 728 itself that is 952, so 728 is an abundant number.
LaTeX source of the formulas on this page
\[ 728 = 2^{3} \times 7 \times 13 \]Factor pairs of 728
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 728 | 1 × 728 = 728 |
| 2 | 364 | 2 × 364 = 728 |
| 4 | 182 | 4 × 182 = 728 |
| 7 | 104 | 7 × 104 = 728 |
| 8 | 91 | 8 × 91 = 728 |
| 13 | 56 | 13 × 56 = 728 |
| 14 | 52 | 14 × 52 = 728 |
| 26 | 28 | 26 × 28 = 728 |
Questions
What are the factors of 728?
The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728. It has 16 factors.
What are the prime factors of 728?
2, 7, 13. As a product: × 7 × 13.
How many factors does 728 have?
728 has 16 factors (8 factor pairs).
What is the sum of the factors of 728?
1680.
Is 728 a prime number?
No. It is divisible by 2, so 728 = 2 × 364.