Factors of 343
The factors of 343 are 1, 7, 49, 343. It has 4 factors.
Factors of 343
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 343 is a whole number that divides it with nothing left over. You only need to test the numbers up to √343 ≈ 18.52; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 4 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 7 + 49 + 343 = 400. Without 343 itself that is 57, so 343 is a deficient number.
LaTeX source of the formulas on this page
\[ 343 = 7^{3} \]Factor pairs of 343
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 343 | 1 × 343 = 343 |
| 7 | 49 | 7 × 49 = 343 |
Questions
What are the factors of 343?
The factors of 343 are 1, 7, 49, 343. It has 4 factors.
What are the prime factors of 343?
7. As a product: .
How many factors does 343 have?
343 has 4 factors (2 factor pairs).
What is the sum of the factors of 343?
400.
Is 343 a prime number?
No. It is divisible by 7, so 343 = 7 × 49.