Factors of 735
The factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 735 is a whole number that divides it with nothing left over. You only need to test the numbers up to √735 ≈ 27.11; 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 + 3 + 5 + 7 + 15 + 21 + 35 + 49 + 105 + 147 + 245 + 735 = 1368. Without 735 itself that is 633, so 735 is a deficient number.
LaTeX source of the formulas on this page
\[ 735 = 3 \times 5 \times 7^{2} \]Factor pairs of 735
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 735 | 1 × 735 = 735 |
| 3 | 245 | 3 × 245 = 735 |
| 5 | 147 | 5 × 147 = 735 |
| 7 | 105 | 7 × 105 = 735 |
| 15 | 49 | 15 × 49 = 735 |
| 21 | 35 | 21 × 35 = 735 |
Questions
What are the factors of 735?
The factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735. It has 12 factors.
What are the prime factors of 735?
3, 5, 7. As a product: 3 × 5 × .
How many factors does 735 have?
735 has 12 factors (6 factor pairs).
What is the sum of the factors of 735?
1368.
Is 735 a prime number?
No. It is divisible by 3, so 735 = 3 × 245.