Factors of 300
The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300. It has 18 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 300 is a whole number that divides it with nothing left over. You only need to test the numbers up to √300 ≈ 17.32; 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 868. Without 300 itself that is 568, so 300 is an abundant number.
LaTeX source of the formulas on this page
\[ 300 = 2^{2} \times 3 \times 5^{2} \]Factor pairs of 300
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 300 | 1 × 300 = 300 |
| 2 | 150 | 2 × 150 = 300 |
| 3 | 100 | 3 × 100 = 300 |
| 4 | 75 | 4 × 75 = 300 |
| 5 | 60 | 5 × 60 = 300 |
| 6 | 50 | 6 × 50 = 300 |
| 10 | 30 | 10 × 30 = 300 |
| 12 | 25 | 12 × 25 = 300 |
| 15 | 20 | 15 × 20 = 300 |
Questions
What are the factors of 300?
The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300. It has 18 factors.
What are the prime factors of 300?
2, 3, 5. As a product: × 3 × .
How many factors does 300 have?
300 has 18 factors (9 factor pairs).
What is the sum of the factors of 300?
868.
Is 300 a prime number?
No. It is divisible by 2, so 300 = 2 × 150.