A:
Positive:
1 x 1311030255 x 2622060525 x 524412137 x 3543325185 x 708665271 x 483775523 x 250675925 x 1417331355 x 967552615 x 501356775 x 1935110027 x 13075
Negative:
-1 x -131103025-5 x -26220605-25 x -5244121-37 x -3543325-185 x -708665-271 x -483775-523 x -250675-925 x -141733-1355 x -96755-2615 x -50135-6775 x -19351-10027 x -13075
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 131,103,025, 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 | 131,103,025 | |
| -1 | -131,103,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 131,103,025.
Example:
1 x 131,103,025 = 131,103,025
and
-1 x -131,103,025 = 131,103,025
Notice both answers equal 131,103,025
With that explanation out of the way, let's continue. Next, we take the number 131,103,025 and divide it by 2:
131,103,025 ÷ 2 = 65,551,512.5
If the quotient is a whole number, then 2 and 65,551,512.5 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 | 131,103,025 | |
| -1 | -131,103,025 |
Now, we try dividing 131,103,025 by 3:
131,103,025 ÷ 3 = 43,701,008.3333
If the quotient is a whole number, then 3 and 43,701,008.3333 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 | 131,103,025 | |
| -1 | -131,103,025 |
Let's try dividing by 4:
131,103,025 ÷ 4 = 32,775,756.25
If the quotient is a whole number, then 4 and 32,775,756.25 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 | 131,103,025 | |
| -1 | 131,103,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 37 | 185 | 271 | 523 | 925 | 1,355 | 2,615 | 6,775 | 10,027 | 13,075 | 19,351 | 50,135 | 96,755 | 141,733 | 250,675 | 483,775 | 708,665 | 3,543,325 | 5,244,121 | 26,220,605 | 131,103,025 |
| -1 | -5 | -25 | -37 | -185 | -271 | -523 | -925 | -1,355 | -2,615 | -6,775 | -10,027 | -13,075 | -19,351 | -50,135 | -96,755 | -141,733 | -250,675 | -483,775 | -708,665 | -3,543,325 | -5,244,121 | -26,220,605 | -131,103,025 |
Here are some more numbers to try:
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