A:
Positive:
1 x 2807532555 x 5615065173 x 3845935353 x 795335365 x 7691871765 x 1590672179 x 12884510895 x 25769
Negative:
-1 x -280753255-5 x -56150651-73 x -3845935-353 x -795335-365 x -769187-1765 x -159067-2179 x -128845-10895 x -25769
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 280,753,255, 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 | 280,753,255 | |
| -1 | -280,753,255 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 280,753,255.
Example:
1 x 280,753,255 = 280,753,255
and
-1 x -280,753,255 = 280,753,255
Notice both answers equal 280,753,255
With that explanation out of the way, let's continue. Next, we take the number 280,753,255 and divide it by 2:
280,753,255 ÷ 2 = 140,376,627.5
If the quotient is a whole number, then 2 and 140,376,627.5 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 | 280,753,255 | |
| -1 | -280,753,255 |
Now, we try dividing 280,753,255 by 3:
280,753,255 ÷ 3 = 93,584,418.3333
If the quotient is a whole number, then 3 and 93,584,418.3333 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 | 280,753,255 | |
| -1 | -280,753,255 |
Let's try dividing by 4:
280,753,255 ÷ 4 = 70,188,313.75
If the quotient is a whole number, then 4 and 70,188,313.75 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 | 280,753,255 | |
| -1 | 280,753,255 |
If you did it right, you will end up with this table:
| 1 | 5 | 73 | 353 | 365 | 1,765 | 2,179 | 10,895 | 25,769 | 128,845 | 159,067 | 769,187 | 795,335 | 3,845,935 | 56,150,651 | 280,753,255 |
| -1 | -5 | -73 | -353 | -365 | -1,765 | -2,179 | -10,895 | -25,769 | -128,845 | -159,067 | -769,187 | -795,335 | -3,845,935 | -56,150,651 | -280,753,255 |
Here are some more numbers to try:
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