A:
Positive:
1 x 5153105517 x 7361579331 x 16622921191 x 2697961217 x 23747031337 x 3854235921 x 8703112433 x 41447
Negative:
-1 x -515310551-7 x -73615793-31 x -16622921-191 x -2697961-217 x -2374703-1337 x -385423-5921 x -87031-12433 x -41447
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 515,310,551, 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 | 515,310,551 | |
| -1 | -515,310,551 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 515,310,551.
Example:
1 x 515,310,551 = 515,310,551
and
-1 x -515,310,551 = 515,310,551
Notice both answers equal 515,310,551
With that explanation out of the way, let's continue. Next, we take the number 515,310,551 and divide it by 2:
515,310,551 ÷ 2 = 257,655,275.5
If the quotient is a whole number, then 2 and 257,655,275.5 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 | 515,310,551 | |
| -1 | -515,310,551 |
Now, we try dividing 515,310,551 by 3:
515,310,551 ÷ 3 = 171,770,183.6667
If the quotient is a whole number, then 3 and 171,770,183.6667 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 | 515,310,551 | |
| -1 | -515,310,551 |
Let's try dividing by 4:
515,310,551 ÷ 4 = 128,827,637.75
If the quotient is a whole number, then 4 and 128,827,637.75 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 | 515,310,551 | |
| -1 | 515,310,551 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 191 | 217 | 1,337 | 5,921 | 12,433 | 41,447 | 87,031 | 385,423 | 2,374,703 | 2,697,961 | 16,622,921 | 73,615,793 | 515,310,551 |
| -1 | -7 | -31 | -191 | -217 | -1,337 | -5,921 | -12,433 | -41,447 | -87,031 | -385,423 | -2,374,703 | -2,697,961 | -16,622,921 | -73,615,793 | -515,310,551 |
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