Factors of 1500
The factors of 1500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1500 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1500 ≈ 38.73; 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 4368. Without 1500 itself that is 2868, so 1500 is an abundant number.
LaTeX source of the formulas on this page
\[ 1500 = 2^{2} \times 3 \times 5^{3} \]Factor pairs of 1500
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1500 | 1 × 1500 = 1500 |
| 2 | 750 | 2 × 750 = 1500 |
| 3 | 500 | 3 × 500 = 1500 |
| 4 | 375 | 4 × 375 = 1500 |
| 5 | 300 | 5 × 300 = 1500 |
| 6 | 250 | 6 × 250 = 1500 |
| 10 | 150 | 10 × 150 = 1500 |
| 12 | 125 | 12 × 125 = 1500 |
| 15 | 100 | 15 × 100 = 1500 |
| 20 | 75 | 20 × 75 = 1500 |
| 25 | 60 | 25 × 60 = 1500 |
| 30 | 50 | 30 × 50 = 1500 |
Questions
What are the factors of 1500?
The factors of 1500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500. It has 24 factors.
What are the prime factors of 1500?
2, 3, 5. As a product: × 3 × .
How many factors does 1500 have?
1500 has 24 factors (12 factor pairs).
What is the sum of the factors of 1500?
4368.
Is 1500 a prime number?
No. It is divisible by 2, so 1500 = 2 × 750.