A:
Positive:
1 x 23113000313 x 1777923119 x 12164737247 x 935749653 x 3539511433 x 1612918489 x 2722712407 x 18629
Negative:
-1 x -231130003-13 x -17779231-19 x -12164737-247 x -935749-653 x -353951-1433 x -161291-8489 x -27227-12407 x -18629
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 231,130,003, 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 | 231,130,003 | |
| -1 | -231,130,003 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 231,130,003.
Example:
1 x 231,130,003 = 231,130,003
and
-1 x -231,130,003 = 231,130,003
Notice both answers equal 231,130,003
With that explanation out of the way, let's continue. Next, we take the number 231,130,003 and divide it by 2:
231,130,003 ÷ 2 = 115,565,001.5
If the quotient is a whole number, then 2 and 115,565,001.5 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 | 231,130,003 | |
| -1 | -231,130,003 |
Now, we try dividing 231,130,003 by 3:
231,130,003 ÷ 3 = 77,043,334.3333
If the quotient is a whole number, then 3 and 77,043,334.3333 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 | 231,130,003 | |
| -1 | -231,130,003 |
Let's try dividing by 4:
231,130,003 ÷ 4 = 57,782,500.75
If the quotient is a whole number, then 4 and 57,782,500.75 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 | 231,130,003 | |
| -1 | 231,130,003 |
If you did it right, you will end up with this table:
| 1 | 13 | 19 | 247 | 653 | 1,433 | 8,489 | 12,407 | 18,629 | 27,227 | 161,291 | 353,951 | 935,749 | 12,164,737 | 17,779,231 | 231,130,003 |
| -1 | -13 | -19 | -247 | -653 | -1,433 | -8,489 | -12,407 | -18,629 | -27,227 | -161,291 | -353,951 | -935,749 | -12,164,737 | -17,779,231 | -231,130,003 |
Here are some more numbers to try:
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