A:
Positive:
1 x 1301051577 x 1858645113 x 1000808971 x 183246791 x 1429727169 x 769853497 x 261781923 x 1409591183 x 1099791549 x 839936461 x 2013710843 x 11999
Negative:
-1 x -130105157-7 x -18586451-13 x -10008089-71 x -1832467-91 x -1429727-169 x -769853-497 x -261781-923 x -140959-1183 x -109979-1549 x -83993-6461 x -20137-10843 x -11999
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 130,105,157, 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 | 130,105,157 | |
| -1 | -130,105,157 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 130,105,157.
Example:
1 x 130,105,157 = 130,105,157
and
-1 x -130,105,157 = 130,105,157
Notice both answers equal 130,105,157
With that explanation out of the way, let's continue. Next, we take the number 130,105,157 and divide it by 2:
130,105,157 ÷ 2 = 65,052,578.5
If the quotient is a whole number, then 2 and 65,052,578.5 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 | 130,105,157 | |
| -1 | -130,105,157 |
Now, we try dividing 130,105,157 by 3:
130,105,157 ÷ 3 = 43,368,385.6667
If the quotient is a whole number, then 3 and 43,368,385.6667 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 | 130,105,157 | |
| -1 | -130,105,157 |
Let's try dividing by 4:
130,105,157 ÷ 4 = 32,526,289.25
If the quotient is a whole number, then 4 and 32,526,289.25 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 | 130,105,157 | |
| -1 | 130,105,157 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 71 | 91 | 169 | 497 | 923 | 1,183 | 1,549 | 6,461 | 10,843 | 11,999 | 20,137 | 83,993 | 109,979 | 140,959 | 261,781 | 769,853 | 1,429,727 | 1,832,467 | 10,008,089 | 18,586,451 | 130,105,157 |
| -1 | -7 | -13 | -71 | -91 | -169 | -497 | -923 | -1,183 | -1,549 | -6,461 | -10,843 | -11,999 | -20,137 | -83,993 | -109,979 | -140,959 | -261,781 | -769,853 | -1,429,727 | -1,832,467 | -10,008,089 | -18,586,451 | -130,105,157 |
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