Factors of 438
The factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438. It has 8 factors.
Factors of 438
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 438 is a whole number that divides it with nothing left over. You only need to test the numbers up to √438 ≈ 20.93; 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 + 73 + 146 + 219 + 438 = 888. Without 438 itself that is 450, so 438 is an abundant number.
LaTeX source of the formulas on this page
\[ 438 = 2 \times 3 \times 73 \]
Factor pairs of 438
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 438 | 1 × 438 = 438 |
| 2 | 219 | 2 × 219 = 438 |
| 3 | 146 | 3 × 146 = 438 |
| 6 | 73 | 6 × 73 = 438 |
Questions
What are the factors of 438?
The factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438. It has 8 factors.
What are the prime factors of 438?
2, 3, 73. As a product: 2 × 3 × 73.
How many factors does 438 have?
438 has 8 factors (4 factor pairs).
What is the sum of the factors of 438?
888.
Is 438 a prime number?
No. It is divisible by 2, so 438 = 2 × 219.