A:
Positive:
1 x 1295381755 x 2590763513 x 996447525 x 518152765 x 1992895211 x 613925325 x 3985791055 x 1227851889 x 685752743 x 472255275 x 245579445 x 13715
Negative:
-1 x -129538175-5 x -25907635-13 x -9964475-25 x -5181527-65 x -1992895-211 x -613925-325 x -398579-1055 x -122785-1889 x -68575-2743 x -47225-5275 x -24557-9445 x -13715
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 129,538,175, 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 | 129,538,175 | |
| -1 | -129,538,175 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 129,538,175.
Example:
1 x 129,538,175 = 129,538,175
and
-1 x -129,538,175 = 129,538,175
Notice both answers equal 129,538,175
With that explanation out of the way, let's continue. Next, we take the number 129,538,175 and divide it by 2:
129,538,175 ÷ 2 = 64,769,087.5
If the quotient is a whole number, then 2 and 64,769,087.5 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 | 129,538,175 | |
| -1 | -129,538,175 |
Now, we try dividing 129,538,175 by 3:
129,538,175 ÷ 3 = 43,179,391.6667
If the quotient is a whole number, then 3 and 43,179,391.6667 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 | 129,538,175 | |
| -1 | -129,538,175 |
Let's try dividing by 4:
129,538,175 ÷ 4 = 32,384,543.75
If the quotient is a whole number, then 4 and 32,384,543.75 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 | 129,538,175 | |
| -1 | 129,538,175 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 65 | 211 | 325 | 1,055 | 1,889 | 2,743 | 5,275 | 9,445 | 13,715 | 24,557 | 47,225 | 68,575 | 122,785 | 398,579 | 613,925 | 1,992,895 | 5,181,527 | 9,964,475 | 25,907,635 | 129,538,175 |
| -1 | -5 | -13 | -25 | -65 | -211 | -325 | -1,055 | -1,889 | -2,743 | -5,275 | -9,445 | -13,715 | -24,557 | -47,225 | -68,575 | -122,785 | -398,579 | -613,925 | -1,992,895 | -5,181,527 | -9,964,475 | -25,907,635 | -129,538,175 |
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