Factors of 7728
The factors of 7728 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 23, 24, 28, 42, 46, 48, 56, 69, 84, 92, 112, 138, 161, 168, 184, 276, 322, 336, 368, 483, 552, 644, 966, 1104, 1288, 1932, 2576, 3864, 7728. It has 40 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 7728 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7728 ≈ 87.91; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 40 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 23808. Without 7728 itself that is 16080, so 7728 is an abundant number.
LaTeX source of the formulas on this page
\[ 7728 = 2^{4} \times 3 \times 7 \times 23 \]Factor pairs of 7728
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 7728 | 1 × 7728 = 7728 |
| 2 | 3864 | 2 × 3864 = 7728 |
| 3 | 2576 | 3 × 2576 = 7728 |
| 4 | 1932 | 4 × 1932 = 7728 |
| 6 | 1288 | 6 × 1288 = 7728 |
| 7 | 1104 | 7 × 1104 = 7728 |
| 8 | 966 | 8 × 966 = 7728 |
| 12 | 644 | 12 × 644 = 7728 |
| 14 | 552 | 14 × 552 = 7728 |
| 16 | 483 | 16 × 483 = 7728 |
| 21 | 368 | 21 × 368 = 7728 |
| 23 | 336 | 23 × 336 = 7728 |
| 24 | 322 | 24 × 322 = 7728 |
| 28 | 276 | 28 × 276 = 7728 |
| 42 | 184 | 42 × 184 = 7728 |
| 46 | 168 | 46 × 168 = 7728 |
| 48 | 161 | 48 × 161 = 7728 |
| 56 | 138 | 56 × 138 = 7728 |
| 69 | 112 | 69 × 112 = 7728 |
| 84 | 92 | 84 × 92 = 7728 |
Questions
What are the factors of 7728?
The factors of 7728 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 23, 24, 28, 42, 46, 48, 56, 69, 84, 92, 112, 138, 161, 168, 184, 276, 322, 336, 368, 483, 552, 644, 966, 1104, 1288, 1932, 2576, 3864, 7728. It has 40 factors.
What are the prime factors of 7728?
2, 3, 7, 23. As a product: × 3 × 7 × 23.
How many factors does 7728 have?
7728 has 40 factors (20 factor pairs).
What is the sum of the factors of 7728?
23808.
Is 7728 a prime number?
No. It is divisible by 2, so 7728 = 2 × 3864.