A:
Positive:
1 x 1050560055 x 2101120117 x 617976583 x 126573585 x 1235953415 x 2531471411 x 744557055 x 14891
Negative:
-1 x -105056005-5 x -21011201-17 x -6179765-83 x -1265735-85 x -1235953-415 x -253147-1411 x -74455-7055 x -14891
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 105,056,005, 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 | 105,056,005 | |
| -1 | -105,056,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,056,005.
Example:
1 x 105,056,005 = 105,056,005
and
-1 x -105,056,005 = 105,056,005
Notice both answers equal 105,056,005
With that explanation out of the way, let's continue. Next, we take the number 105,056,005 and divide it by 2:
105,056,005 ÷ 2 = 52,528,002.5
If the quotient is a whole number, then 2 and 52,528,002.5 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 | 105,056,005 | |
| -1 | -105,056,005 |
Now, we try dividing 105,056,005 by 3:
105,056,005 ÷ 3 = 35,018,668.3333
If the quotient is a whole number, then 3 and 35,018,668.3333 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 | 105,056,005 | |
| -1 | -105,056,005 |
Let's try dividing by 4:
105,056,005 ÷ 4 = 26,264,001.25
If the quotient is a whole number, then 4 and 26,264,001.25 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 | 105,056,005 | |
| -1 | 105,056,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 83 | 85 | 415 | 1,411 | 7,055 | 14,891 | 74,455 | 253,147 | 1,235,953 | 1,265,735 | 6,179,765 | 21,011,201 | 105,056,005 |
| -1 | -5 | -17 | -83 | -85 | -415 | -1,411 | -7,055 | -14,891 | -74,455 | -253,147 | -1,235,953 | -1,265,735 | -6,179,765 | -21,011,201 | -105,056,005 |
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