Factors of 4500
The factors of 4500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 900, 1125, 1500, 2250, 4500. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 4500 is a whole number that divides it with nothing left over. You only need to test the numbers up to √4500 ≈ 67.08; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 36 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 14196. Without 4500 itself that is 9696, so 4500 is an abundant number.
LaTeX source of the formulas on this page
\[ 4500 = 2^{2} \times 3^{2} \times 5^{3} \]Factor pairs of 4500
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 4500 | 1 × 4500 = 4500 |
| 2 | 2250 | 2 × 2250 = 4500 |
| 3 | 1500 | 3 × 1500 = 4500 |
| 4 | 1125 | 4 × 1125 = 4500 |
| 5 | 900 | 5 × 900 = 4500 |
| 6 | 750 | 6 × 750 = 4500 |
| 9 | 500 | 9 × 500 = 4500 |
| 10 | 450 | 10 × 450 = 4500 |
| 12 | 375 | 12 × 375 = 4500 |
| 15 | 300 | 15 × 300 = 4500 |
| 18 | 250 | 18 × 250 = 4500 |
| 20 | 225 | 20 × 225 = 4500 |
| 25 | 180 | 25 × 180 = 4500 |
| 30 | 150 | 30 × 150 = 4500 |
| 36 | 125 | 36 × 125 = 4500 |
| 45 | 100 | 45 × 100 = 4500 |
| 50 | 90 | 50 × 90 = 4500 |
| 60 | 75 | 60 × 75 = 4500 |
Questions
What are the factors of 4500?
The factors of 4500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 900, 1125, 1500, 2250, 4500. It has 36 factors.
What are the prime factors of 4500?
2, 3, 5. As a product: × × .
How many factors does 4500 have?
4500 has 36 factors (18 factor pairs).
What is the sum of the factors of 4500?
14196.
Is 4500 a prime number?
No. It is divisible by 2, so 4500 = 2 × 2250.