A:
Positive:
1 x 5142536355 x 1028507277 x 7346480535 x 146929611019 x 5046655095 x 1009337133 x 7209514419 x 35665
Negative:
-1 x -514253635-5 x -102850727-7 x -73464805-35 x -14692961-1019 x -504665-5095 x -100933-7133 x -72095-14419 x -35665
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 514,253,635, 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 | 514,253,635 | |
| -1 | -514,253,635 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 514,253,635.
Example:
1 x 514,253,635 = 514,253,635
and
-1 x -514,253,635 = 514,253,635
Notice both answers equal 514,253,635
With that explanation out of the way, let's continue. Next, we take the number 514,253,635 and divide it by 2:
514,253,635 ÷ 2 = 257,126,817.5
If the quotient is a whole number, then 2 and 257,126,817.5 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 | 514,253,635 | |
| -1 | -514,253,635 |
Now, we try dividing 514,253,635 by 3:
514,253,635 ÷ 3 = 171,417,878.3333
If the quotient is a whole number, then 3 and 171,417,878.3333 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 | 514,253,635 | |
| -1 | -514,253,635 |
Let's try dividing by 4:
514,253,635 ÷ 4 = 128,563,408.75
If the quotient is a whole number, then 4 and 128,563,408.75 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 | 514,253,635 | |
| -1 | 514,253,635 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 1,019 | 5,095 | 7,133 | 14,419 | 35,665 | 72,095 | 100,933 | 504,665 | 14,692,961 | 73,464,805 | 102,850,727 | 514,253,635 |
| -1 | -5 | -7 | -35 | -1,019 | -5,095 | -7,133 | -14,419 | -35,665 | -72,095 | -100,933 | -504,665 | -14,692,961 | -73,464,805 | -102,850,727 | -514,253,635 |
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