Factors of 450
The factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450. It has 18 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 450 is a whole number that divides it with nothing left over. You only need to test the numbers up to √450 ≈ 21.21; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 18 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 1209. Without 450 itself that is 759, so 450 is an abundant number.
LaTeX source of the formulas on this page
\[ 450 = 2 \times 3^{2} \times 5^{2} \]Factor pairs of 450
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 450 | 1 × 450 = 450 |
| 2 | 225 | 2 × 225 = 450 |
| 3 | 150 | 3 × 150 = 450 |
| 5 | 90 | 5 × 90 = 450 |
| 6 | 75 | 6 × 75 = 450 |
| 9 | 50 | 9 × 50 = 450 |
| 10 | 45 | 10 × 45 = 450 |
| 15 | 30 | 15 × 30 = 450 |
| 18 | 25 | 18 × 25 = 450 |
Questions
What are the factors of 450?
The factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450. It has 18 factors.
What are the prime factors of 450?
2, 3, 5. As a product: 2 × × .
How many factors does 450 have?
450 has 18 factors (9 factor pairs).
What is the sum of the factors of 450?
1209.
Is 450 a prime number?
No. It is divisible by 2, so 450 = 2 × 225.