A:
Positive:
1 x 2133441317 x 3047773311 x 1939492113 x 1641108777 x 277070391 x 2344441143 x 14919171001 x 213131
Negative:
-1 x -213344131-7 x -30477733-11 x -19394921-13 x -16411087-77 x -2770703-91 x -2344441-143 x -1491917-1001 x -213131
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 213,344,131, 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 | 213,344,131 | |
| -1 | -213,344,131 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 213,344,131.
Example:
1 x 213,344,131 = 213,344,131
and
-1 x -213,344,131 = 213,344,131
Notice both answers equal 213,344,131
With that explanation out of the way, let's continue. Next, we take the number 213,344,131 and divide it by 2:
213,344,131 ÷ 2 = 106,672,065.5
If the quotient is a whole number, then 2 and 106,672,065.5 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 | 213,344,131 | |
| -1 | -213,344,131 |
Now, we try dividing 213,344,131 by 3:
213,344,131 ÷ 3 = 71,114,710.3333
If the quotient is a whole number, then 3 and 71,114,710.3333 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 | 213,344,131 | |
| -1 | -213,344,131 |
Let's try dividing by 4:
213,344,131 ÷ 4 = 53,336,032.75
If the quotient is a whole number, then 4 and 53,336,032.75 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 | 213,344,131 | |
| -1 | 213,344,131 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 13 | 77 | 91 | 143 | 1,001 | 213,131 | 1,491,917 | 2,344,441 | 2,770,703 | 16,411,087 | 19,394,921 | 30,477,733 | 213,344,131 |
| -1 | -7 | -11 | -13 | -77 | -91 | -143 | -1,001 | -213,131 | -1,491,917 | -2,344,441 | -2,770,703 | -16,411,087 | -19,394,921 | -30,477,733 | -213,344,131 |
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