A:
Positive:
1 x 25866382311 x 2351489317 x 15215519131 x 1974533187 x 13832291441 x 1795032227 x 11614910559 x 24497
Negative:
-1 x -258663823-11 x -23514893-17 x -15215519-131 x -1974533-187 x -1383229-1441 x -179503-2227 x -116149-10559 x -24497
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 258,663,823, 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 | 258,663,823 | |
| -1 | -258,663,823 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 258,663,823.
Example:
1 x 258,663,823 = 258,663,823
and
-1 x -258,663,823 = 258,663,823
Notice both answers equal 258,663,823
With that explanation out of the way, let's continue. Next, we take the number 258,663,823 and divide it by 2:
258,663,823 ÷ 2 = 129,331,911.5
If the quotient is a whole number, then 2 and 129,331,911.5 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 | 258,663,823 | |
| -1 | -258,663,823 |
Now, we try dividing 258,663,823 by 3:
258,663,823 ÷ 3 = 86,221,274.3333
If the quotient is a whole number, then 3 and 86,221,274.3333 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 | 258,663,823 | |
| -1 | -258,663,823 |
Let's try dividing by 4:
258,663,823 ÷ 4 = 64,665,955.75
If the quotient is a whole number, then 4 and 64,665,955.75 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 | 258,663,823 | |
| -1 | 258,663,823 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 131 | 187 | 1,441 | 2,227 | 10,559 | 24,497 | 116,149 | 179,503 | 1,383,229 | 1,974,533 | 15,215,519 | 23,514,893 | 258,663,823 |
| -1 | -11 | -17 | -131 | -187 | -1,441 | -2,227 | -10,559 | -24,497 | -116,149 | -179,503 | -1,383,229 | -1,974,533 | -15,215,519 | -23,514,893 | -258,663,823 |
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