A:
Positive:
1 x 2055500097 x 2936428717 x 12091177119 x 1727311163 x 12610431141 x 1801492771 x 7417910597 x 19397
Negative:
-1 x -205550009-7 x -29364287-17 x -12091177-119 x -1727311-163 x -1261043-1141 x -180149-2771 x -74179-10597 x -19397
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 205,550,009, 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 | 205,550,009 | |
| -1 | -205,550,009 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 205,550,009.
Example:
1 x 205,550,009 = 205,550,009
and
-1 x -205,550,009 = 205,550,009
Notice both answers equal 205,550,009
With that explanation out of the way, let's continue. Next, we take the number 205,550,009 and divide it by 2:
205,550,009 ÷ 2 = 102,775,004.5
If the quotient is a whole number, then 2 and 102,775,004.5 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 | 205,550,009 | |
| -1 | -205,550,009 |
Now, we try dividing 205,550,009 by 3:
205,550,009 ÷ 3 = 68,516,669.6667
If the quotient is a whole number, then 3 and 68,516,669.6667 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 | 205,550,009 | |
| -1 | -205,550,009 |
Let's try dividing by 4:
205,550,009 ÷ 4 = 51,387,502.25
If the quotient is a whole number, then 4 and 51,387,502.25 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 | 205,550,009 | |
| -1 | 205,550,009 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 119 | 163 | 1,141 | 2,771 | 10,597 | 19,397 | 74,179 | 180,149 | 1,261,043 | 1,727,311 | 12,091,177 | 29,364,287 | 205,550,009 |
| -1 | -7 | -17 | -119 | -163 | -1,141 | -2,771 | -10,597 | -19,397 | -74,179 | -180,149 | -1,261,043 | -1,727,311 | -12,091,177 | -29,364,287 | -205,550,009 |
Here are some more numbers to try:
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