Factors of 7500
The factors of 7500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500. It has 30 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 7500 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7500 ≈ 86.60; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 30 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 21868. Without 7500 itself that is 14368, so 7500 is an abundant number.
LaTeX source of the formulas on this page
\[ 7500 = 2^{2} \times 3 \times 5^{4} \]Factor pairs of 7500
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 7500 | 1 × 7500 = 7500 |
| 2 | 3750 | 2 × 3750 = 7500 |
| 3 | 2500 | 3 × 2500 = 7500 |
| 4 | 1875 | 4 × 1875 = 7500 |
| 5 | 1500 | 5 × 1500 = 7500 |
| 6 | 1250 | 6 × 1250 = 7500 |
| 10 | 750 | 10 × 750 = 7500 |
| 12 | 625 | 12 × 625 = 7500 |
| 15 | 500 | 15 × 500 = 7500 |
| 20 | 375 | 20 × 375 = 7500 |
| 25 | 300 | 25 × 300 = 7500 |
| 30 | 250 | 30 × 250 = 7500 |
| 50 | 150 | 50 × 150 = 7500 |
| 60 | 125 | 60 × 125 = 7500 |
| 75 | 100 | 75 × 100 = 7500 |
Questions
What are the factors of 7500?
The factors of 7500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500. It has 30 factors.
What are the prime factors of 7500?
2, 3, 5. As a product: × 3 × .
How many factors does 7500 have?
7500 has 30 factors (15 factor pairs).
What is the sum of the factors of 7500?
21868.
Is 7500 a prime number?
No. It is divisible by 2, so 7500 = 2 × 3750.