A:
Positive:
1 x 1312030377 x 1874329119 x 690542349 x 267761353 x 2475529133 x 986489371 x 353647931 x 1409271007 x 1302912597 x 505212659 x 493437049 x 18613
Negative:
-1 x -131203037-7 x -18743291-19 x -6905423-49 x -2677613-53 x -2475529-133 x -986489-371 x -353647-931 x -140927-1007 x -130291-2597 x -50521-2659 x -49343-7049 x -18613
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 131,203,037, 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 | 131,203,037 | |
| -1 | -131,203,037 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 131,203,037.
Example:
1 x 131,203,037 = 131,203,037
and
-1 x -131,203,037 = 131,203,037
Notice both answers equal 131,203,037
With that explanation out of the way, let's continue. Next, we take the number 131,203,037 and divide it by 2:
131,203,037 ÷ 2 = 65,601,518.5
If the quotient is a whole number, then 2 and 65,601,518.5 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 | 131,203,037 | |
| -1 | -131,203,037 |
Now, we try dividing 131,203,037 by 3:
131,203,037 ÷ 3 = 43,734,345.6667
If the quotient is a whole number, then 3 and 43,734,345.6667 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 | 131,203,037 | |
| -1 | -131,203,037 |
Let's try dividing by 4:
131,203,037 ÷ 4 = 32,800,759.25
If the quotient is a whole number, then 4 and 32,800,759.25 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 | 131,203,037 | |
| -1 | 131,203,037 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 49 | 53 | 133 | 371 | 931 | 1,007 | 2,597 | 2,659 | 7,049 | 18,613 | 49,343 | 50,521 | 130,291 | 140,927 | 353,647 | 986,489 | 2,475,529 | 2,677,613 | 6,905,423 | 18,743,291 | 131,203,037 |
| -1 | -7 | -19 | -49 | -53 | -133 | -371 | -931 | -1,007 | -2,597 | -2,659 | -7,049 | -18,613 | -49,343 | -50,521 | -130,291 | -140,927 | -353,647 | -986,489 | -2,475,529 | -2,677,613 | -6,905,423 | -18,743,291 | -131,203,037 |
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