Factors of 336
The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336. It has 20 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 336 is a whole number that divides it with nothing left over. You only need to test the numbers up to √336 ≈ 18.33; 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 992. Without 336 itself that is 656, so 336 is an abundant number.
LaTeX source of the formulas on this page
\[ 336 = 2^{4} \times 3 \times 7 \]Factor pairs of 336
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 336 | 1 × 336 = 336 |
| 2 | 168 | 2 × 168 = 336 |
| 3 | 112 | 3 × 112 = 336 |
| 4 | 84 | 4 × 84 = 336 |
| 6 | 56 | 6 × 56 = 336 |
| 7 | 48 | 7 × 48 = 336 |
| 8 | 42 | 8 × 42 = 336 |
| 12 | 28 | 12 × 28 = 336 |
| 14 | 24 | 14 × 24 = 336 |
| 16 | 21 | 16 × 21 = 336 |
Questions
What are the factors of 336?
The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336. It has 20 factors.
What are the prime factors of 336?
2, 3, 7. As a product: × 3 × 7.
How many factors does 336 have?
336 has 20 factors (10 factor pairs).
What is the sum of the factors of 336?
992.
Is 336 a prime number?
No. It is divisible by 2, so 336 = 2 × 168.