Factors of 4004
The factors of 4004 are 1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002, 4004. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 4004 is a whole number that divides it with nothing left over. You only need to test the numbers up to √4004 ≈ 63.28; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 24 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 9408. Without 4004 itself that is 5404, so 4004 is an abundant number.
LaTeX source of the formulas on this page
\[ 4004 = 2^{2} \times 7 \times 11 \times 13 \]Factor pairs of 4004
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 4004 | 1 × 4004 = 4004 |
| 2 | 2002 | 2 × 2002 = 4004 |
| 4 | 1001 | 4 × 1001 = 4004 |
| 7 | 572 | 7 × 572 = 4004 |
| 11 | 364 | 11 × 364 = 4004 |
| 13 | 308 | 13 × 308 = 4004 |
| 14 | 286 | 14 × 286 = 4004 |
| 22 | 182 | 22 × 182 = 4004 |
| 26 | 154 | 26 × 154 = 4004 |
| 28 | 143 | 28 × 143 = 4004 |
| 44 | 91 | 44 × 91 = 4004 |
| 52 | 77 | 52 × 77 = 4004 |
Questions
What are the factors of 4004?
The factors of 4004 are 1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002, 4004. It has 24 factors.
What are the prime factors of 4004?
2, 7, 11, 13. As a product: × 7 × 11 × 13.
How many factors does 4004 have?
4004 has 24 factors (12 factor pairs).
What is the sum of the factors of 4004?
9408.
Is 4004 a prime number?
No. It is divisible by 2, so 4004 = 2 × 2002.