Factors of 4752
The factors of 4752 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 72, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376, 4752. It has 40 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 4752 is a whole number that divides it with nothing left over. You only need to test the numbers up to √4752 ≈ 68.93; 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 14880. Without 4752 itself that is 10128, so 4752 is an abundant number.
LaTeX source of the formulas on this page
\[ 4752 = 2^{4} \times 3^{3} \times 11 \]Factor pairs of 4752
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 4752 | 1 × 4752 = 4752 |
| 2 | 2376 | 2 × 2376 = 4752 |
| 3 | 1584 | 3 × 1584 = 4752 |
| 4 | 1188 | 4 × 1188 = 4752 |
| 6 | 792 | 6 × 792 = 4752 |
| 8 | 594 | 8 × 594 = 4752 |
| 9 | 528 | 9 × 528 = 4752 |
| 11 | 432 | 11 × 432 = 4752 |
| 12 | 396 | 12 × 396 = 4752 |
| 16 | 297 | 16 × 297 = 4752 |
| 18 | 264 | 18 × 264 = 4752 |
| 22 | 216 | 22 × 216 = 4752 |
| 24 | 198 | 24 × 198 = 4752 |
| 27 | 176 | 27 × 176 = 4752 |
| 33 | 144 | 33 × 144 = 4752 |
| 36 | 132 | 36 × 132 = 4752 |
| 44 | 108 | 44 × 108 = 4752 |
| 48 | 99 | 48 × 99 = 4752 |
| 54 | 88 | 54 × 88 = 4752 |
| 66 | 72 | 66 × 72 = 4752 |
Questions
What are the factors of 4752?
The factors of 4752 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 72, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376, 4752. It has 40 factors.
What are the prime factors of 4752?
2, 3, 11. As a product: × × 11.
How many factors does 4752 have?
4752 has 40 factors (20 factor pairs).
What is the sum of the factors of 4752?
14880.
Is 4752 a prime number?
No. It is divisible by 2, so 4752 = 2 × 2376.