A:
Positive:
1 x 10022120911 x 911101989 x 1126081167 x 600127613 x 163493979 x 1023711837 x 545576743 x 14863
Negative:
-1 x -100221209-11 x -9111019-89 x -1126081-167 x -600127-613 x -163493-979 x -102371-1837 x -54557-6743 x -14863
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 100,221,209, 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 | 100,221,209 | |
| -1 | -100,221,209 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,221,209.
Example:
1 x 100,221,209 = 100,221,209
and
-1 x -100,221,209 = 100,221,209
Notice both answers equal 100,221,209
With that explanation out of the way, let's continue. Next, we take the number 100,221,209 and divide it by 2:
100,221,209 ÷ 2 = 50,110,604.5
If the quotient is a whole number, then 2 and 50,110,604.5 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 | 100,221,209 | |
| -1 | -100,221,209 |
Now, we try dividing 100,221,209 by 3:
100,221,209 ÷ 3 = 33,407,069.6667
If the quotient is a whole number, then 3 and 33,407,069.6667 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 | 100,221,209 | |
| -1 | -100,221,209 |
Let's try dividing by 4:
100,221,209 ÷ 4 = 25,055,302.25
If the quotient is a whole number, then 4 and 25,055,302.25 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 | 100,221,209 | |
| -1 | 100,221,209 |
If you did it right, you will end up with this table:
| 1 | 11 | 89 | 167 | 613 | 979 | 1,837 | 6,743 | 14,863 | 54,557 | 102,371 | 163,493 | 600,127 | 1,126,081 | 9,111,019 | 100,221,209 |
| -1 | -11 | -89 | -167 | -613 | -979 | -1,837 | -6,743 | -14,863 | -54,557 | -102,371 | -163,493 | -600,127 | -1,126,081 | -9,111,019 | -100,221,209 |
Here are some more numbers to try:
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