A:
Positive:
1 x 2131005597 x 3044293717 x 1253532749 x 4348991109 x 1955051119 x 1790761763 x 279293833 x 2558231853 x 1150032347 x 907975341 x 3989912971 x 16429
Negative:
-1 x -213100559-7 x -30442937-17 x -12535327-49 x -4348991-109 x -1955051-119 x -1790761-763 x -279293-833 x -255823-1853 x -115003-2347 x -90797-5341 x -39899-12971 x -16429
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 213,100,559, 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 | 213,100,559 | |
| -1 | -213,100,559 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 213,100,559.
Example:
1 x 213,100,559 = 213,100,559
and
-1 x -213,100,559 = 213,100,559
Notice both answers equal 213,100,559
With that explanation out of the way, let's continue. Next, we take the number 213,100,559 and divide it by 2:
213,100,559 ÷ 2 = 106,550,279.5
If the quotient is a whole number, then 2 and 106,550,279.5 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 | 213,100,559 | |
| -1 | -213,100,559 |
Now, we try dividing 213,100,559 by 3:
213,100,559 ÷ 3 = 71,033,519.6667
If the quotient is a whole number, then 3 and 71,033,519.6667 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 | 213,100,559 | |
| -1 | -213,100,559 |
Let's try dividing by 4:
213,100,559 ÷ 4 = 53,275,139.75
If the quotient is a whole number, then 4 and 53,275,139.75 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 | 213,100,559 | |
| -1 | 213,100,559 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 49 | 109 | 119 | 763 | 833 | 1,853 | 2,347 | 5,341 | 12,971 | 16,429 | 39,899 | 90,797 | 115,003 | 255,823 | 279,293 | 1,790,761 | 1,955,051 | 4,348,991 | 12,535,327 | 30,442,937 | 213,100,559 |
| -1 | -7 | -17 | -49 | -109 | -119 | -763 | -833 | -1,853 | -2,347 | -5,341 | -12,971 | -16,429 | -39,899 | -90,797 | -115,003 | -255,823 | -279,293 | -1,790,761 | -1,955,051 | -4,348,991 | -12,535,327 | -30,442,937 | -213,100,559 |
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