A:
Positive:
1 x 5151413055 x 1030282617 x 7359161535 x 14718323569 x 9053452845 x 1810693983 x 12933519915 x 25867
Negative:
-1 x -515141305-5 x -103028261-7 x -73591615-35 x -14718323-569 x -905345-2845 x -181069-3983 x -129335-19915 x -25867
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 515,141,305, 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 | 515,141,305 | |
| -1 | -515,141,305 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 515,141,305.
Example:
1 x 515,141,305 = 515,141,305
and
-1 x -515,141,305 = 515,141,305
Notice both answers equal 515,141,305
With that explanation out of the way, let's continue. Next, we take the number 515,141,305 and divide it by 2:
515,141,305 ÷ 2 = 257,570,652.5
If the quotient is a whole number, then 2 and 257,570,652.5 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 | 515,141,305 | |
| -1 | -515,141,305 |
Now, we try dividing 515,141,305 by 3:
515,141,305 ÷ 3 = 171,713,768.3333
If the quotient is a whole number, then 3 and 171,713,768.3333 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 | 515,141,305 | |
| -1 | -515,141,305 |
Let's try dividing by 4:
515,141,305 ÷ 4 = 128,785,326.25
If the quotient is a whole number, then 4 and 128,785,326.25 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 | 515,141,305 | |
| -1 | 515,141,305 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 569 | 2,845 | 3,983 | 19,915 | 25,867 | 129,335 | 181,069 | 905,345 | 14,718,323 | 73,591,615 | 103,028,261 | 515,141,305 |
| -1 | -5 | -7 | -35 | -569 | -2,845 | -3,983 | -19,915 | -25,867 | -129,335 | -181,069 | -905,345 | -14,718,323 | -73,591,615 | -103,028,261 | -515,141,305 |
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