A:
Positive:
1 x 2200011317 x 3142873317 x 1294124349 x 4489819109 x 2018359119 x 1848749763 x 288337833 x 2641071853 x 1187272423 x 907975341 x 4119112971 x 16961
Negative:
-1 x -220001131-7 x -31428733-17 x -12941243-49 x -4489819-109 x -2018359-119 x -1848749-763 x -288337-833 x -264107-1853 x -118727-2423 x -90797-5341 x -41191-12971 x -16961
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 220,001,131, 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 | 220,001,131 | |
| -1 | -220,001,131 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 220,001,131.
Example:
1 x 220,001,131 = 220,001,131
and
-1 x -220,001,131 = 220,001,131
Notice both answers equal 220,001,131
With that explanation out of the way, let's continue. Next, we take the number 220,001,131 and divide it by 2:
220,001,131 ÷ 2 = 110,000,565.5
If the quotient is a whole number, then 2 and 110,000,565.5 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 | 220,001,131 | |
| -1 | -220,001,131 |
Now, we try dividing 220,001,131 by 3:
220,001,131 ÷ 3 = 73,333,710.3333
If the quotient is a whole number, then 3 and 73,333,710.3333 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 | 220,001,131 | |
| -1 | -220,001,131 |
Let's try dividing by 4:
220,001,131 ÷ 4 = 55,000,282.75
If the quotient is a whole number, then 4 and 55,000,282.75 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 | 220,001,131 | |
| -1 | 220,001,131 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 49 | 109 | 119 | 763 | 833 | 1,853 | 2,423 | 5,341 | 12,971 | 16,961 | 41,191 | 90,797 | 118,727 | 264,107 | 288,337 | 1,848,749 | 2,018,359 | 4,489,819 | 12,941,243 | 31,428,733 | 220,001,131 |
| -1 | -7 | -17 | -49 | -109 | -119 | -763 | -833 | -1,853 | -2,423 | -5,341 | -12,971 | -16,961 | -41,191 | -90,797 | -118,727 | -264,107 | -288,337 | -1,848,749 | -2,018,359 | -4,489,819 | -12,941,243 | -31,428,733 | -220,001,131 |
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