Factors of 4992
The factors of 4992 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 312, 384, 416, 624, 832, 1248, 1664, 2496, 4992. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 4992 is a whole number that divides it with nothing left over. You only need to test the numbers up to √4992 ≈ 70.65; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 32 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 14280. Without 4992 itself that is 9288, so 4992 is an abundant number.
LaTeX source of the formulas on this page
\[ 4992 = 2^{7} \times 3 \times 13 \]Factor pairs of 4992
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 4992 | 1 × 4992 = 4992 |
| 2 | 2496 | 2 × 2496 = 4992 |
| 3 | 1664 | 3 × 1664 = 4992 |
| 4 | 1248 | 4 × 1248 = 4992 |
| 6 | 832 | 6 × 832 = 4992 |
| 8 | 624 | 8 × 624 = 4992 |
| 12 | 416 | 12 × 416 = 4992 |
| 13 | 384 | 13 × 384 = 4992 |
| 16 | 312 | 16 × 312 = 4992 |
| 24 | 208 | 24 × 208 = 4992 |
| 26 | 192 | 26 × 192 = 4992 |
| 32 | 156 | 32 × 156 = 4992 |
| 39 | 128 | 39 × 128 = 4992 |
| 48 | 104 | 48 × 104 = 4992 |
| 52 | 96 | 52 × 96 = 4992 |
| 64 | 78 | 64 × 78 = 4992 |
Questions
What are the factors of 4992?
The factors of 4992 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 312, 384, 416, 624, 832, 1248, 1664, 2496, 4992. It has 32 factors.
What are the prime factors of 4992?
2, 3, 13. As a product: × 3 × 13.
How many factors does 4992 have?
4992 has 32 factors (16 factor pairs).
What is the sum of the factors of 4992?
14280.
Is 4992 a prime number?
No. It is divisible by 2, so 4992 = 2 × 2496.