Factors of 442
The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442. It has 8 factors.
Factors of 442
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 442 is a whole number that divides it with nothing left over. You only need to test the numbers up to √442 ≈ 21.02; 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 + 13 + 17 + 26 + 34 + 221 + 442 = 756. Without 442 itself that is 314, so 442 is a deficient number.
LaTeX source of the formulas on this page
\[ 442 = 2 \times 13 \times 17 \]
Factor pairs of 442
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 442 | 1 × 442 = 442 |
| 2 | 221 | 2 × 221 = 442 |
| 13 | 34 | 13 × 34 = 442 |
| 17 | 26 | 17 × 26 = 442 |
Questions
What are the factors of 442?
The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442. It has 8 factors.
What are the prime factors of 442?
2, 13, 17. As a product: 2 × 13 × 17.
How many factors does 442 have?
442 has 8 factors (4 factor pairs).
What is the sum of the factors of 442?
756.
Is 442 a prime number?
No. It is divisible by 2, so 442 = 2 × 221.