A:
Positive:
1 x 30758322111 x 2796211153 x 5803457137 x 2245133583 x 5275871507 x 2041033851 x 798717261 x 42361
Negative:
-1 x -307583221-11 x -27962111-53 x -5803457-137 x -2245133-583 x -527587-1507 x -204103-3851 x -79871-7261 x -42361
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 307,583,221, 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 | 307,583,221 | |
| -1 | -307,583,221 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 307,583,221.
Example:
1 x 307,583,221 = 307,583,221
and
-1 x -307,583,221 = 307,583,221
Notice both answers equal 307,583,221
With that explanation out of the way, let's continue. Next, we take the number 307,583,221 and divide it by 2:
307,583,221 ÷ 2 = 153,791,610.5
If the quotient is a whole number, then 2 and 153,791,610.5 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 | 307,583,221 | |
| -1 | -307,583,221 |
Now, we try dividing 307,583,221 by 3:
307,583,221 ÷ 3 = 102,527,740.3333
If the quotient is a whole number, then 3 and 102,527,740.3333 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 | 307,583,221 | |
| -1 | -307,583,221 |
Let's try dividing by 4:
307,583,221 ÷ 4 = 76,895,805.25
If the quotient is a whole number, then 4 and 76,895,805.25 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 | 307,583,221 | |
| -1 | 307,583,221 |
If you did it right, you will end up with this table:
| 1 | 11 | 53 | 137 | 583 | 1,507 | 3,851 | 7,261 | 42,361 | 79,871 | 204,103 | 527,587 | 2,245,133 | 5,803,457 | 27,962,111 | 307,583,221 |
| -1 | -11 | -53 | -137 | -583 | -1,507 | -3,851 | -7,261 | -42,361 | -79,871 | -204,103 | -527,587 | -2,245,133 | -5,803,457 | -27,962,111 | -307,583,221 |
Here are some more numbers to try:
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