Factors of 240
The factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240. It has 20 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 240 is a whole number that divides it with nothing left over. You only need to test the numbers up to √240 ≈ 15.49; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 20 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 744. Without 240 itself that is 504, so 240 is an abundant number.
LaTeX source of the formulas on this page
\[ 240 = 2^{4} \times 3 \times 5 \]Factor pairs of 240
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 240 | 1 × 240 = 240 |
| 2 | 120 | 2 × 120 = 240 |
| 3 | 80 | 3 × 80 = 240 |
| 4 | 60 | 4 × 60 = 240 |
| 5 | 48 | 5 × 48 = 240 |
| 6 | 40 | 6 × 40 = 240 |
| 8 | 30 | 8 × 30 = 240 |
| 10 | 24 | 10 × 24 = 240 |
| 12 | 20 | 12 × 20 = 240 |
| 15 | 16 | 15 × 16 = 240 |
Questions
What are the factors of 240?
The factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240. It has 20 factors.
What are the prime factors of 240?
2, 3, 5. As a product: × 3 × 5.
How many factors does 240 have?
240 has 20 factors (10 factor pairs).
What is the sum of the factors of 240?
744.
Is 240 a prime number?
No. It is divisible by 2, so 240 = 2 × 120.