A:
Positive:
1 x 2535413055 x 5070826123 x 11023535115 x 2204707467 x 5429152335 x 1085834721 x 5370510741 x 23605
Negative:
-1 x -253541305-5 x -50708261-23 x -11023535-115 x -2204707-467 x -542915-2335 x -108583-4721 x -53705-10741 x -23605
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 253,541,305, 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 | 253,541,305 | |
| -1 | -253,541,305 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 253,541,305.
Example:
1 x 253,541,305 = 253,541,305
and
-1 x -253,541,305 = 253,541,305
Notice both answers equal 253,541,305
With that explanation out of the way, let's continue. Next, we take the number 253,541,305 and divide it by 2:
253,541,305 ÷ 2 = 126,770,652.5
If the quotient is a whole number, then 2 and 126,770,652.5 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 | 253,541,305 | |
| -1 | -253,541,305 |
Now, we try dividing 253,541,305 by 3:
253,541,305 ÷ 3 = 84,513,768.3333
If the quotient is a whole number, then 3 and 84,513,768.3333 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 | 253,541,305 | |
| -1 | -253,541,305 |
Let's try dividing by 4:
253,541,305 ÷ 4 = 63,385,326.25
If the quotient is a whole number, then 4 and 63,385,326.25 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 | 253,541,305 | |
| -1 | 253,541,305 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 115 | 467 | 2,335 | 4,721 | 10,741 | 23,605 | 53,705 | 108,583 | 542,915 | 2,204,707 | 11,023,535 | 50,708,261 | 253,541,305 |
| -1 | -5 | -23 | -115 | -467 | -2,335 | -4,721 | -10,741 | -23,605 | -53,705 | -108,583 | -542,915 | -2,204,707 | -11,023,535 | -50,708,261 | -253,541,305 |
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