Factors of 345
The factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345. It has 8 factors.
Factors of 345
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 345 is a whole number that divides it with nothing left over. You only need to test the numbers up to √345 ≈ 18.57; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 8 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 3 + 5 + 15 + 23 + 69 + 115 + 345 = 576. Without 345 itself that is 231, so 345 is a deficient number.
LaTeX source of the formulas on this page
\[ 345 = 3 \times 5 \times 23 \]
Factor pairs of 345
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 345 | 1 × 345 = 345 |
| 3 | 115 | 3 × 115 = 345 |
| 5 | 69 | 5 × 69 = 345 |
| 15 | 23 | 15 × 23 = 345 |
Questions
What are the factors of 345?
The factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345. It has 8 factors.
What are the prime factors of 345?
3, 5, 23. As a product: 3 × 5 × 23.
How many factors does 345 have?
345 has 8 factors (4 factor pairs).
What is the sum of the factors of 345?
576.
Is 345 a prime number?
No. It is divisible by 3, so 345 = 3 × 115.