Factors of 354
The factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354. It has 8 factors.
Factors of 354
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 354 is a whole number that divides it with nothing left over. You only need to test the numbers up to √354 ≈ 18.81; 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 + 59 + 118 + 177 + 354 = 720. Without 354 itself that is 366, so 354 is an abundant number.
LaTeX source of the formulas on this page
\[ 354 = 2 \times 3 \times 59 \]
Factor pairs of 354
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 354 | 1 × 354 = 354 |
| 2 | 177 | 2 × 177 = 354 |
| 3 | 118 | 3 × 118 = 354 |
| 6 | 59 | 6 × 59 = 354 |
Questions
What are the factors of 354?
The factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354. It has 8 factors.
What are the prime factors of 354?
2, 3, 59. As a product: 2 × 3 × 59.
How many factors does 354 have?
354 has 8 factors (4 factor pairs).
What is the sum of the factors of 354?
720.
Is 354 a prime number?
No. It is divisible by 2, so 354 = 2 × 177.