Factors of 1000
The factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1000 is a whole number that divides it with nothing left over. You only need to test the numbers up to ā1000 ā 31.62; 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 2340. Without 1000 itself that is 1340, so 1000 is an abundant number.
LaTeX source of the formulas on this page
\[ 1000 = 2^{3} \times 5^{3} \]Factor pairs of 1000
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1000 | 1 Ć 1000 = 1000 |
| 2 | 500 | 2 Ć 500 = 1000 |
| 4 | 250 | 4 Ć 250 = 1000 |
| 5 | 200 | 5 Ć 200 = 1000 |
| 8 | 125 | 8 Ć 125 = 1000 |
| 10 | 100 | 10 Ć 100 = 1000 |
| 20 | 50 | 20 Ć 50 = 1000 |
| 25 | 40 | 25 Ć 40 = 1000 |
Questions
What are the factors of 1000?
The factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000. It has 16 factors.
What are the prime factors of 1000?
2, 5. As a product: Ć .
How many factors does 1000 have?
1000 has 16 factors (8 factor pairs).
What is the sum of the factors of 1000?
2340.
Is 1000 a prime number?
No. It is divisible by 2, so 1000 = 2 Ć 500.