A:
Positive:
1 x 2053043055 x 4106086137 x 5548765185 x 1109753853 x 2406851301 x 1578054265 x 481376505 x 31561
Negative:
-1 x -205304305-5 x -41060861-37 x -5548765-185 x -1109753-853 x -240685-1301 x -157805-4265 x -48137-6505 x -31561
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 205,304,305, 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 | 205,304,305 | |
| -1 | -205,304,305 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 205,304,305.
Example:
1 x 205,304,305 = 205,304,305
and
-1 x -205,304,305 = 205,304,305
Notice both answers equal 205,304,305
With that explanation out of the way, let's continue. Next, we take the number 205,304,305 and divide it by 2:
205,304,305 ÷ 2 = 102,652,152.5
If the quotient is a whole number, then 2 and 102,652,152.5 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 | 205,304,305 | |
| -1 | -205,304,305 |
Now, we try dividing 205,304,305 by 3:
205,304,305 ÷ 3 = 68,434,768.3333
If the quotient is a whole number, then 3 and 68,434,768.3333 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 | 205,304,305 | |
| -1 | -205,304,305 |
Let's try dividing by 4:
205,304,305 ÷ 4 = 51,326,076.25
If the quotient is a whole number, then 4 and 51,326,076.25 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 | 205,304,305 | |
| -1 | 205,304,305 |
If you did it right, you will end up with this table:
| 1 | 5 | 37 | 185 | 853 | 1,301 | 4,265 | 6,505 | 31,561 | 48,137 | 157,805 | 240,685 | 1,109,753 | 5,548,765 | 41,060,861 | 205,304,305 |
| -1 | -5 | -37 | -185 | -853 | -1,301 | -4,265 | -6,505 | -31,561 | -48,137 | -157,805 | -240,685 | -1,109,753 | -5,548,765 | -41,060,861 | -205,304,305 |
Here are some more numbers to try:
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