A:
Positive:
1 x 5165134037 x 7378762929 x 17810807203 x 2544401499 x 10350973493 x 1478715099 x 10129714471 x 35693
Negative:
-1 x -516513403-7 x -73787629-29 x -17810807-203 x -2544401-499 x -1035097-3493 x -147871-5099 x -101297-14471 x -35693
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 516,513,403, 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 | 516,513,403 | |
| -1 | -516,513,403 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 516,513,403.
Example:
1 x 516,513,403 = 516,513,403
and
-1 x -516,513,403 = 516,513,403
Notice both answers equal 516,513,403
With that explanation out of the way, let's continue. Next, we take the number 516,513,403 and divide it by 2:
516,513,403 ÷ 2 = 258,256,701.5
If the quotient is a whole number, then 2 and 258,256,701.5 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 | 516,513,403 | |
| -1 | -516,513,403 |
Now, we try dividing 516,513,403 by 3:
516,513,403 ÷ 3 = 172,171,134.3333
If the quotient is a whole number, then 3 and 172,171,134.3333 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 | 516,513,403 | |
| -1 | -516,513,403 |
Let's try dividing by 4:
516,513,403 ÷ 4 = 129,128,350.75
If the quotient is a whole number, then 4 and 129,128,350.75 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 | 516,513,403 | |
| -1 | 516,513,403 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 203 | 499 | 3,493 | 5,099 | 14,471 | 35,693 | 101,297 | 147,871 | 1,035,097 | 2,544,401 | 17,810,807 | 73,787,629 | 516,513,403 |
| -1 | -7 | -29 | -203 | -499 | -3,493 | -5,099 | -14,471 | -35,693 | -101,297 | -147,871 | -1,035,097 | -2,544,401 | -17,810,807 | -73,787,629 | -516,513,403 |
Here are some more numbers to try:
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