Factors of 900
The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900. It has 27 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 900 is a whole number that divides it with nothing left over. You only need to test the numbers up to √900 ≈ 30.00; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 27 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 2821. Without 900 itself that is 1921, so 900 is an abundant number.
LaTeX source of the formulas on this page
\[ 900 = 2^{2} \times 3^{2} \times 5^{2} \]Factor pairs of 900
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 900 | 1 × 900 = 900 |
| 2 | 450 | 2 × 450 = 900 |
| 3 | 300 | 3 × 300 = 900 |
| 4 | 225 | 4 × 225 = 900 |
| 5 | 180 | 5 × 180 = 900 |
| 6 | 150 | 6 × 150 = 900 |
| 9 | 100 | 9 × 100 = 900 |
| 10 | 90 | 10 × 90 = 900 |
| 12 | 75 | 12 × 75 = 900 |
| 15 | 60 | 15 × 60 = 900 |
| 18 | 50 | 18 × 50 = 900 |
| 20 | 45 | 20 × 45 = 900 |
| 25 | 36 | 25 × 36 = 900 |
| 30 | 30 | 30 × 30 = 900 |
Questions
What are the factors of 900?
The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900. It has 27 factors.
What are the prime factors of 900?
2, 3, 5. As a product: × × .
How many factors does 900 have?
900 has 27 factors (14 factor pairs, one of them 30 × 30).
What is the sum of the factors of 900?
2821.
Is 900 a prime number?
No. It is divisible by 2, so 900 = 2 × 450.