A:
Positive:
1 x 2311306277 x 3301866113 x 1777927991 x 25398971193 x 1937392129 x 1085638351 x 2767714903 x 15509
Negative:
-1 x -231130627-7 x -33018661-13 x -17779279-91 x -2539897-1193 x -193739-2129 x -108563-8351 x -27677-14903 x -15509
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 231,130,627, 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 | 231,130,627 | |
| -1 | -231,130,627 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 231,130,627.
Example:
1 x 231,130,627 = 231,130,627
and
-1 x -231,130,627 = 231,130,627
Notice both answers equal 231,130,627
With that explanation out of the way, let's continue. Next, we take the number 231,130,627 and divide it by 2:
231,130,627 ÷ 2 = 115,565,313.5
If the quotient is a whole number, then 2 and 115,565,313.5 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 | 231,130,627 | |
| -1 | -231,130,627 |
Now, we try dividing 231,130,627 by 3:
231,130,627 ÷ 3 = 77,043,542.3333
If the quotient is a whole number, then 3 and 77,043,542.3333 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 | 231,130,627 | |
| -1 | -231,130,627 |
Let's try dividing by 4:
231,130,627 ÷ 4 = 57,782,656.75
If the quotient is a whole number, then 4 and 57,782,656.75 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 | 231,130,627 | |
| -1 | 231,130,627 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 1,193 | 2,129 | 8,351 | 14,903 | 15,509 | 27,677 | 108,563 | 193,739 | 2,539,897 | 17,779,279 | 33,018,661 | 231,130,627 |
| -1 | -7 | -13 | -91 | -1,193 | -2,129 | -8,351 | -14,903 | -15,509 | -27,677 | -108,563 | -193,739 | -2,539,897 | -17,779,279 | -33,018,661 | -231,130,627 |
Here are some more numbers to try:
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