Factors of 4968
The factors of 4968 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484, 4968. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 4968 is a whole number that divides it with nothing left over. You only need to test the numbers up to √4968 ≈ 70.48; 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 14400. Without 4968 itself that is 9432, so 4968 is an abundant number.
LaTeX source of the formulas on this page
\[ 4968 = 2^{3} \times 3^{3} \times 23 \]Factor pairs of 4968
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 4968 | 1 × 4968 = 4968 |
| 2 | 2484 | 2 × 2484 = 4968 |
| 3 | 1656 | 3 × 1656 = 4968 |
| 4 | 1242 | 4 × 1242 = 4968 |
| 6 | 828 | 6 × 828 = 4968 |
| 8 | 621 | 8 × 621 = 4968 |
| 9 | 552 | 9 × 552 = 4968 |
| 12 | 414 | 12 × 414 = 4968 |
| 18 | 276 | 18 × 276 = 4968 |
| 23 | 216 | 23 × 216 = 4968 |
| 24 | 207 | 24 × 207 = 4968 |
| 27 | 184 | 27 × 184 = 4968 |
| 36 | 138 | 36 × 138 = 4968 |
| 46 | 108 | 46 × 108 = 4968 |
| 54 | 92 | 54 × 92 = 4968 |
| 69 | 72 | 69 × 72 = 4968 |
Questions
What are the factors of 4968?
The factors of 4968 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484, 4968. It has 32 factors.
What are the prime factors of 4968?
2, 3, 23. As a product: × × 23.
How many factors does 4968 have?
4968 has 32 factors (16 factor pairs).
What is the sum of the factors of 4968?
14400.
Is 4968 a prime number?
No. It is divisible by 2, so 4968 = 2 × 2484.