A:
Positive:
1 x 1002203097 x 1431718737 x 270865747 x 2132347259 x 386951329 x 3046211739 x 576318233 x 12173
Negative:
-1 x -100220309-7 x -14317187-37 x -2708657-47 x -2132347-259 x -386951-329 x -304621-1739 x -57631-8233 x -12173
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 100,220,309, 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 | 100,220,309 | |
| -1 | -100,220,309 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,220,309.
Example:
1 x 100,220,309 = 100,220,309
and
-1 x -100,220,309 = 100,220,309
Notice both answers equal 100,220,309
With that explanation out of the way, let's continue. Next, we take the number 100,220,309 and divide it by 2:
100,220,309 ÷ 2 = 50,110,154.5
If the quotient is a whole number, then 2 and 50,110,154.5 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 | 100,220,309 | |
| -1 | -100,220,309 |
Now, we try dividing 100,220,309 by 3:
100,220,309 ÷ 3 = 33,406,769.6667
If the quotient is a whole number, then 3 and 33,406,769.6667 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 | 100,220,309 | |
| -1 | -100,220,309 |
Let's try dividing by 4:
100,220,309 ÷ 4 = 25,055,077.25
If the quotient is a whole number, then 4 and 25,055,077.25 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 | 100,220,309 | |
| -1 | 100,220,309 |
If you did it right, you will end up with this table:
| 1 | 7 | 37 | 47 | 259 | 329 | 1,739 | 8,233 | 12,173 | 57,631 | 304,621 | 386,951 | 2,132,347 | 2,708,657 | 14,317,187 | 100,220,309 |
| -1 | -7 | -37 | -47 | -259 | -329 | -1,739 | -8,233 | -12,173 | -57,631 | -304,621 | -386,951 | -2,132,347 | -2,708,657 | -14,317,187 | -100,220,309 |
Here are some more numbers to try:
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