A:
Positive:
1 x 2000011097 x 2857158711 x 1818191977 x 2597417101 x 1980209707 x 2828871111 x 1800197777 x 25717
Negative:
-1 x -200001109-7 x -28571587-11 x -18181919-77 x -2597417-101 x -1980209-707 x -282887-1111 x -180019-7777 x -25717
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 200,001,109, 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 | 200,001,109 | |
| -1 | -200,001,109 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 200,001,109.
Example:
1 x 200,001,109 = 200,001,109
and
-1 x -200,001,109 = 200,001,109
Notice both answers equal 200,001,109
With that explanation out of the way, let's continue. Next, we take the number 200,001,109 and divide it by 2:
200,001,109 ÷ 2 = 100,000,554.5
If the quotient is a whole number, then 2 and 100,000,554.5 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 | 200,001,109 | |
| -1 | -200,001,109 |
Now, we try dividing 200,001,109 by 3:
200,001,109 ÷ 3 = 66,667,036.3333
If the quotient is a whole number, then 3 and 66,667,036.3333 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 | 200,001,109 | |
| -1 | -200,001,109 |
Let's try dividing by 4:
200,001,109 ÷ 4 = 50,000,277.25
If the quotient is a whole number, then 4 and 50,000,277.25 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 | 200,001,109 | |
| -1 | 200,001,109 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 101 | 707 | 1,111 | 7,777 | 25,717 | 180,019 | 282,887 | 1,980,209 | 2,597,417 | 18,181,919 | 28,571,587 | 200,001,109 |
| -1 | -7 | -11 | -77 | -101 | -707 | -1,111 | -7,777 | -25,717 | -180,019 | -282,887 | -1,980,209 | -2,597,417 | -18,181,919 | -28,571,587 | -200,001,109 |
Here are some more numbers to try:
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