Factors of 350
The factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 350 is a whole number that divides it with nothing left over. You only need to test the numbers up to √350 ≈ 18.71; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 12 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 2 + 5 + 7 + 10 + 14 + 25 + 35 + 50 + 70 + 175 + 350 = 744. Without 350 itself that is 394, so 350 is an abundant number.
LaTeX source of the formulas on this page
\[ 350 = 2 \times 5^{2} \times 7 \]Factor pairs of 350
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 350 | 1 × 350 = 350 |
| 2 | 175 | 2 × 175 = 350 |
| 5 | 70 | 5 × 70 = 350 |
| 7 | 50 | 7 × 50 = 350 |
| 10 | 35 | 10 × 35 = 350 |
| 14 | 25 | 14 × 25 = 350 |
Questions
What are the factors of 350?
The factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350. It has 12 factors.
What are the prime factors of 350?
2, 5, 7. As a product: 2 × × 7.
How many factors does 350 have?
350 has 12 factors (6 factor pairs).
What is the sum of the factors of 350?
744.
Is 350 a prime number?
No. It is divisible by 2, so 350 = 2 × 175.