Factors of 105
The factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105. It has 8 factors.
Factors of 105
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 105 is a whole number that divides it with nothing left over. You only need to test the numbers up to √105 ≈ 10.25; 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 + 7 + 15 + 21 + 35 + 105 = 192. Without 105 itself that is 87, so 105 is a deficient number.
LaTeX source of the formulas on this page
\[ 105 = 3 \times 5 \times 7 \]
Factor pairs of 105
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 105 | 1 × 105 = 105 |
| 3 | 35 | 3 × 35 = 105 |
| 5 | 21 | 5 × 21 = 105 |
| 7 | 15 | 7 × 15 = 105 |
Questions
What are the factors of 105?
The factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105. It has 8 factors.
What are the prime factors of 105?
3, 5, 7. As a product: 3 × 5 × 7.
How many factors does 105 have?
105 has 8 factors (4 factor pairs).
What is the sum of the factors of 105?
192.
Is 105 a prime number?
No. It is divisible by 3, so 105 = 3 × 35.