Factors of 4002
The factors of 4002 are 1, 2, 3, 6, 23, 29, 46, 58, 69, 87, 138, 174, 667, 1334, 2001, 4002. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 4002 is a whole number that divides it with nothing left over. You only need to test the numbers up to √4002 ≈ 63.26; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 8640. Without 4002 itself that is 4638, so 4002 is an abundant number.
LaTeX source of the formulas on this page
\[ 4002 = 2 \times 3 \times 23 \times 29 \]
Factor pairs of 4002
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 4002 | 1 × 4002 = 4002 |
| 2 | 2001 | 2 × 2001 = 4002 |
| 3 | 1334 | 3 × 1334 = 4002 |
| 6 | 667 | 6 × 667 = 4002 |
| 23 | 174 | 23 × 174 = 4002 |
| 29 | 138 | 29 × 138 = 4002 |
| 46 | 87 | 46 × 87 = 4002 |
| 58 | 69 | 58 × 69 = 4002 |
Questions
What are the factors of 4002?
The factors of 4002 are 1, 2, 3, 6, 23, 29, 46, 58, 69, 87, 138, 174, 667, 1334, 2001, 4002. It has 16 factors.
What are the prime factors of 4002?
2, 3, 23, 29. As a product: 2 × 3 × 23 × 29.
How many factors does 4002 have?
4002 has 16 factors (8 factor pairs).
What is the sum of the factors of 4002?
8640.
Is 4002 a prime number?
No. It is divisible by 2, so 4002 = 2 × 2001.