A:
Positive:
1 x 2113554177 x 3019363113 x 1625810991 x 2322587163 x 12966591141 x 1852372119 x 9974314249 x 14833
Negative:
-1 x -211355417-7 x -30193631-13 x -16258109-91 x -2322587-163 x -1296659-1141 x -185237-2119 x -99743-14249 x -14833
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 211,355,417, 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 | 211,355,417 | |
| -1 | -211,355,417 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 211,355,417.
Example:
1 x 211,355,417 = 211,355,417
and
-1 x -211,355,417 = 211,355,417
Notice both answers equal 211,355,417
With that explanation out of the way, let's continue. Next, we take the number 211,355,417 and divide it by 2:
211,355,417 ÷ 2 = 105,677,708.5
If the quotient is a whole number, then 2 and 105,677,708.5 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 | 211,355,417 | |
| -1 | -211,355,417 |
Now, we try dividing 211,355,417 by 3:
211,355,417 ÷ 3 = 70,451,805.6667
If the quotient is a whole number, then 3 and 70,451,805.6667 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 | 211,355,417 | |
| -1 | -211,355,417 |
Let's try dividing by 4:
211,355,417 ÷ 4 = 52,838,854.25
If the quotient is a whole number, then 4 and 52,838,854.25 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 | 211,355,417 | |
| -1 | 211,355,417 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 163 | 1,141 | 2,119 | 14,249 | 14,833 | 99,743 | 185,237 | 1,296,659 | 2,322,587 | 16,258,109 | 30,193,631 | 211,355,417 |
| -1 | -7 | -13 | -91 | -163 | -1,141 | -2,119 | -14,249 | -14,833 | -99,743 | -185,237 | -1,296,659 | -2,322,587 | -16,258,109 | -30,193,631 | -211,355,417 |
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