Factors of 1365
The factors of 1365 are 1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 91, 105, 195, 273, 455, 1365. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1365 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1365 ≈ 36.95; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 2688. Without 1365 itself that is 1323, so 1365 is a deficient number.
LaTeX source of the formulas on this page
\[ 1365 = 3 \times 5 \times 7 \times 13 \]
Factor pairs of 1365
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1365 | 1 × 1365 = 1365 |
| 3 | 455 | 3 × 455 = 1365 |
| 5 | 273 | 5 × 273 = 1365 |
| 7 | 195 | 7 × 195 = 1365 |
| 13 | 105 | 13 × 105 = 1365 |
| 15 | 91 | 15 × 91 = 1365 |
| 21 | 65 | 21 × 65 = 1365 |
| 35 | 39 | 35 × 39 = 1365 |
Questions
What are the factors of 1365?
The factors of 1365 are 1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 91, 105, 195, 273, 455, 1365. It has 16 factors.
What are the prime factors of 1365?
3, 5, 7, 13. As a product: 3 × 5 × 7 × 13.
How many factors does 1365 have?
1365 has 16 factors (8 factor pairs).
What is the sum of the factors of 1365?
2688.
Is 1365 a prime number?
No. It is divisible by 3, so 1365 = 3 × 455.