Factors of 4788
The factors of 4788 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 19, 21, 28, 36, 38, 42, 57, 63, 76, 84, 114, 126, 133, 171, 228, 252, 266, 342, 399, 532, 684, 798, 1197, 1596, 2394, 4788. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 4788 is a whole number that divides it with nothing left over. You only need to test the numbers up to √4788 ≈ 69.20; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 36 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 14560. Without 4788 itself that is 9772, so 4788 is an abundant number.
LaTeX source of the formulas on this page
\[ 4788 = 2^{2} \times 3^{2} \times 7 \times 19 \]Factor pairs of 4788
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 4788 | 1 × 4788 = 4788 |
| 2 | 2394 | 2 × 2394 = 4788 |
| 3 | 1596 | 3 × 1596 = 4788 |
| 4 | 1197 | 4 × 1197 = 4788 |
| 6 | 798 | 6 × 798 = 4788 |
| 7 | 684 | 7 × 684 = 4788 |
| 9 | 532 | 9 × 532 = 4788 |
| 12 | 399 | 12 × 399 = 4788 |
| 14 | 342 | 14 × 342 = 4788 |
| 18 | 266 | 18 × 266 = 4788 |
| 19 | 252 | 19 × 252 = 4788 |
| 21 | 228 | 21 × 228 = 4788 |
| 28 | 171 | 28 × 171 = 4788 |
| 36 | 133 | 36 × 133 = 4788 |
| 38 | 126 | 38 × 126 = 4788 |
| 42 | 114 | 42 × 114 = 4788 |
| 57 | 84 | 57 × 84 = 4788 |
| 63 | 76 | 63 × 76 = 4788 |
Questions
What are the factors of 4788?
The factors of 4788 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 19, 21, 28, 36, 38, 42, 57, 63, 76, 84, 114, 126, 133, 171, 228, 252, 266, 342, 399, 532, 684, 798, 1197, 1596, 2394, 4788. It has 36 factors.
What are the prime factors of 4788?
2, 3, 7, 19. As a product: × × 7 × 19.
How many factors does 4788 have?
4788 has 36 factors (18 factor pairs).
What is the sum of the factors of 4788?
14560.
Is 4788 a prime number?
No. It is divisible by 2, so 4788 = 2 × 2394.