A:
Positive:
1 x 4311352577 x 6159075129 x 14866733203 x 2123819311 x 13862872177 x 1980416829 x 631339019 x 47803
Negative:
-1 x -431135257-7 x -61590751-29 x -14866733-203 x -2123819-311 x -1386287-2177 x -198041-6829 x -63133-9019 x -47803
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 431,135,257, 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 | 431,135,257 | |
| -1 | -431,135,257 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 431,135,257.
Example:
1 x 431,135,257 = 431,135,257
and
-1 x -431,135,257 = 431,135,257
Notice both answers equal 431,135,257
With that explanation out of the way, let's continue. Next, we take the number 431,135,257 and divide it by 2:
431,135,257 ÷ 2 = 215,567,628.5
If the quotient is a whole number, then 2 and 215,567,628.5 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 | 431,135,257 | |
| -1 | -431,135,257 |
Now, we try dividing 431,135,257 by 3:
431,135,257 ÷ 3 = 143,711,752.3333
If the quotient is a whole number, then 3 and 143,711,752.3333 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 | 431,135,257 | |
| -1 | -431,135,257 |
Let's try dividing by 4:
431,135,257 ÷ 4 = 107,783,814.25
If the quotient is a whole number, then 4 and 107,783,814.25 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 | 431,135,257 | |
| -1 | 431,135,257 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 203 | 311 | 2,177 | 6,829 | 9,019 | 47,803 | 63,133 | 198,041 | 1,386,287 | 2,123,819 | 14,866,733 | 61,590,751 | 431,135,257 |
| -1 | -7 | -29 | -203 | -311 | -2,177 | -6,829 | -9,019 | -47,803 | -63,133 | -198,041 | -1,386,287 | -2,123,819 | -14,866,733 | -61,590,751 | -431,135,257 |
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