Factors of 1002
The factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1002 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1002 ≈ 31.65; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 8 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 2 + 3 + 6 + 167 + 334 + 501 + 1002 = 2016. Without 1002 itself that is 1014, so 1002 is an abundant number.
LaTeX source of the formulas on this page
\[ 1002 = 2 \times 3 \times 167 \]
Factor pairs of 1002
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1002 | 1 × 1002 = 1002 |
| 2 | 501 | 2 × 501 = 1002 |
| 3 | 334 | 3 × 334 = 1002 |
| 6 | 167 | 6 × 167 = 1002 |
Questions
What are the factors of 1002?
The factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002. It has 8 factors.
What are the prime factors of 1002?
2, 3, 167. As a product: 2 × 3 × 167.
How many factors does 1002 have?
1002 has 8 factors (4 factor pairs).
What is the sum of the factors of 1002?
2016.
Is 1002 a prime number?
No. It is divisible by 2, so 1002 = 2 × 501.