A:
Positive:
1 x 27834124119 x 14649539179 x 1554979223 x 1248167367 x 7584233401 x 818414237 x 656936973 x 39917
Negative:
-1 x -278341241-19 x -14649539-179 x -1554979-223 x -1248167-367 x -758423-3401 x -81841-4237 x -65693-6973 x -39917
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 278,341,241, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
| 1 | 278,341,241 | |
| -1 | -278,341,241 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 278,341,241.
Example:
1 x 278,341,241 = 278,341,241
and
-1 x -278,341,241 = 278,341,241
Notice both answers equal 278,341,241
With that explanation out of the way, let's continue. Next, we take the number 278,341,241 and divide it by 2:
278,341,241 ÷ 2 = 139,170,620.5
If the quotient is a whole number, then 2 and 139,170,620.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 278,341,241 | |
| -1 | -278,341,241 |
Now, we try dividing 278,341,241 by 3:
278,341,241 ÷ 3 = 92,780,413.6667
If the quotient is a whole number, then 3 and 92,780,413.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 278,341,241 | |
| -1 | -278,341,241 |
Let's try dividing by 4:
278,341,241 ÷ 4 = 69,585,310.25
If the quotient is a whole number, then 4 and 69,585,310.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 278,341,241 | |
| -1 | 278,341,241 |
If you did it right, you will end up with this table:
| 1 | 19 | 179 | 223 | 367 | 3,401 | 4,237 | 6,973 | 39,917 | 65,693 | 81,841 | 758,423 | 1,248,167 | 1,554,979 | 14,649,539 | 278,341,241 |
| -1 | -19 | -179 | -223 | -367 | -3,401 | -4,237 | -6,973 | -39,917 | -65,693 | -81,841 | -758,423 | -1,248,167 | -1,554,979 | -14,649,539 | -278,341,241 |
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