Factors of 378
The factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 378 is a whole number that divides it with nothing left over. You only need to test the numbers up to √378 ≈ 19.44; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 960. Without 378 itself that is 582, so 378 is an abundant number.
LaTeX source of the formulas on this page
\[ 378 = 2 \times 3^{3} \times 7 \]Factor pairs of 378
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 378 | 1 × 378 = 378 |
| 2 | 189 | 2 × 189 = 378 |
| 3 | 126 | 3 × 126 = 378 |
| 6 | 63 | 6 × 63 = 378 |
| 7 | 54 | 7 × 54 = 378 |
| 9 | 42 | 9 × 42 = 378 |
| 14 | 27 | 14 × 27 = 378 |
| 18 | 21 | 18 × 21 = 378 |
Questions
What are the factors of 378?
The factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378. It has 16 factors.
What are the prime factors of 378?
2, 3, 7. As a product: 2 × × 7.
How many factors does 378 have?
378 has 16 factors (8 factor pairs).
What is the sum of the factors of 378?
960.
Is 378 a prime number?
No. It is divisible by 2, so 378 = 2 × 189.