A:
Positive:
1 x 43134101373 x 5908781109 x 3957257151 x 2856563359 x 12015077957 x 5420911023 x 3913116459 x 26207
Negative:
-1 x -431341013-73 x -5908781-109 x -3957257-151 x -2856563-359 x -1201507-7957 x -54209-11023 x -39131-16459 x -26207
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 431,341,013, 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 | 431,341,013 | |
| -1 | -431,341,013 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 431,341,013.
Example:
1 x 431,341,013 = 431,341,013
and
-1 x -431,341,013 = 431,341,013
Notice both answers equal 431,341,013
With that explanation out of the way, let's continue. Next, we take the number 431,341,013 and divide it by 2:
431,341,013 ÷ 2 = 215,670,506.5
If the quotient is a whole number, then 2 and 215,670,506.5 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 | 431,341,013 | |
| -1 | -431,341,013 |
Now, we try dividing 431,341,013 by 3:
431,341,013 ÷ 3 = 143,780,337.6667
If the quotient is a whole number, then 3 and 143,780,337.6667 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 | 431,341,013 | |
| -1 | -431,341,013 |
Let's try dividing by 4:
431,341,013 ÷ 4 = 107,835,253.25
If the quotient is a whole number, then 4 and 107,835,253.25 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 | 431,341,013 | |
| -1 | 431,341,013 |
If you did it right, you will end up with this table:
| 1 | 73 | 109 | 151 | 359 | 7,957 | 11,023 | 16,459 | 26,207 | 39,131 | 54,209 | 1,201,507 | 2,856,563 | 3,957,257 | 5,908,781 | 431,341,013 |
| -1 | -73 | -109 | -151 | -359 | -7,957 | -11,023 | -16,459 | -26,207 | -39,131 | -54,209 | -1,201,507 | -2,856,563 | -3,957,257 | -5,908,781 | -431,341,013 |
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