Factors of 1338
The factors of 1338 are 1, 2, 3, 6, 223, 446, 669, 1338. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1338 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1338 ≈ 36.58; 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 + 2 + 3 + 6 + 223 + 446 + 669 + 1338 = 2688. Without 1338 itself that is 1350, so 1338 is an abundant number.
LaTeX source of the formulas on this page
\[ 1338 = 2 \times 3 \times 223 \]
Factor pairs of 1338
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1338 | 1 × 1338 = 1338 |
| 2 | 669 | 2 × 669 = 1338 |
| 3 | 446 | 3 × 446 = 1338 |
| 6 | 223 | 6 × 223 = 1338 |
Questions
What are the factors of 1338?
The factors of 1338 are 1, 2, 3, 6, 223, 446, 669, 1338. It has 8 factors.
What are the prime factors of 1338?
2, 3, 223. As a product: 2 × 3 × 223.
How many factors does 1338 have?
1338 has 8 factors (4 factor pairs).
What is the sum of the factors of 1338?
2688.
Is 1338 a prime number?
No. It is divisible by 2, so 1338 = 2 × 669.