Factors of 5004
The factors of 5004 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502, 5004. It has 18 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5004 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5004 ≈ 70.74; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 18 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 12740. Without 5004 itself that is 7736, so 5004 is an abundant number.
LaTeX source of the formulas on this page
\[ 5004 = 2^{2} \times 3^{2} \times 139 \]Factor pairs of 5004
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5004 | 1 × 5004 = 5004 |
| 2 | 2502 | 2 × 2502 = 5004 |
| 3 | 1668 | 3 × 1668 = 5004 |
| 4 | 1251 | 4 × 1251 = 5004 |
| 6 | 834 | 6 × 834 = 5004 |
| 9 | 556 | 9 × 556 = 5004 |
| 12 | 417 | 12 × 417 = 5004 |
| 18 | 278 | 18 × 278 = 5004 |
| 36 | 139 | 36 × 139 = 5004 |
Questions
What are the factors of 5004?
The factors of 5004 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502, 5004. It has 18 factors.
What are the prime factors of 5004?
2, 3, 139. As a product: × × 139.
How many factors does 5004 have?
5004 has 18 factors (9 factor pairs).
What is the sum of the factors of 5004?
12740.
Is 5004 a prime number?
No. It is divisible by 2, so 5004 = 2 × 2502.