Factors of 441
The factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441. It has 9 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 441 is a whole number that divides it with nothing left over. You only need to test the numbers up to ā441 ā 21.00; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 9 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 3 + 7 + 9 + 21 + 49 + 63 + 147 + 441 = 741. Without 441 itself that is 300, so 441 is a deficient number.
LaTeX source of the formulas on this page
\[ 441 = 3^{2} \times 7^{2} \]Factor pairs of 441
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 441 | 1 Ć 441 = 441 |
| 3 | 147 | 3 Ć 147 = 441 |
| 7 | 63 | 7 Ć 63 = 441 |
| 9 | 49 | 9 Ć 49 = 441 |
| 21 | 21 | 21 Ć 21 = 441 |
Questions
What are the factors of 441?
The factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441. It has 9 factors.
What are the prime factors of 441?
3, 7. As a product: Ć .
How many factors does 441 have?
441 has 9 factors (5 factor pairs, one of them 21 Ć 21).
What is the sum of the factors of 441?
741.
Is 441 a prime number?
No. It is divisible by 3, so 441 = 3 Ć 147.