A:
Positive:
1 x 1155415255 x 2310830511 x 1050377525 x 462166155 x 2100755275 x 420151383 x 3016751097 x 1053251915 x 603354213 x 274255485 x 210659575 x 12067
Negative:
-1 x -115541525-5 x -23108305-11 x -10503775-25 x -4621661-55 x -2100755-275 x -420151-383 x -301675-1097 x -105325-1915 x -60335-4213 x -27425-5485 x -21065-9575 x -12067
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 115,541,525, 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 | 115,541,525 | |
| -1 | -115,541,525 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 115,541,525.
Example:
1 x 115,541,525 = 115,541,525
and
-1 x -115,541,525 = 115,541,525
Notice both answers equal 115,541,525
With that explanation out of the way, let's continue. Next, we take the number 115,541,525 and divide it by 2:
115,541,525 ÷ 2 = 57,770,762.5
If the quotient is a whole number, then 2 and 57,770,762.5 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 | 115,541,525 | |
| -1 | -115,541,525 |
Now, we try dividing 115,541,525 by 3:
115,541,525 ÷ 3 = 38,513,841.6667
If the quotient is a whole number, then 3 and 38,513,841.6667 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 | 115,541,525 | |
| -1 | -115,541,525 |
Let's try dividing by 4:
115,541,525 ÷ 4 = 28,885,381.25
If the quotient is a whole number, then 4 and 28,885,381.25 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 | 115,541,525 | |
| -1 | 115,541,525 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 55 | 275 | 383 | 1,097 | 1,915 | 4,213 | 5,485 | 9,575 | 12,067 | 21,065 | 27,425 | 60,335 | 105,325 | 301,675 | 420,151 | 2,100,755 | 4,621,661 | 10,503,775 | 23,108,305 | 115,541,525 |
| -1 | -5 | -11 | -25 | -55 | -275 | -383 | -1,097 | -1,915 | -4,213 | -5,485 | -9,575 | -12,067 | -21,065 | -27,425 | -60,335 | -105,325 | -301,675 | -420,151 | -2,100,755 | -4,621,661 | -10,503,775 | -23,108,305 | -115,541,525 |
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