A:
Positive:
1 x 5160383277 x 7371976123 x 22436449161 x 3205207337 x 15312712359 x 2187537751 x 665779511 x 54257
Negative:
-1 x -516038327-7 x -73719761-23 x -22436449-161 x -3205207-337 x -1531271-2359 x -218753-7751 x -66577-9511 x -54257
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 516,038,327, 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 | 516,038,327 | |
| -1 | -516,038,327 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 516,038,327.
Example:
1 x 516,038,327 = 516,038,327
and
-1 x -516,038,327 = 516,038,327
Notice both answers equal 516,038,327
With that explanation out of the way, let's continue. Next, we take the number 516,038,327 and divide it by 2:
516,038,327 ÷ 2 = 258,019,163.5
If the quotient is a whole number, then 2 and 258,019,163.5 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 | 516,038,327 | |
| -1 | -516,038,327 |
Now, we try dividing 516,038,327 by 3:
516,038,327 ÷ 3 = 172,012,775.6667
If the quotient is a whole number, then 3 and 172,012,775.6667 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 | 516,038,327 | |
| -1 | -516,038,327 |
Let's try dividing by 4:
516,038,327 ÷ 4 = 129,009,581.75
If the quotient is a whole number, then 4 and 129,009,581.75 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 | 516,038,327 | |
| -1 | 516,038,327 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 161 | 337 | 2,359 | 7,751 | 9,511 | 54,257 | 66,577 | 218,753 | 1,531,271 | 3,205,207 | 22,436,449 | 73,719,761 | 516,038,327 |
| -1 | -7 | -23 | -161 | -337 | -2,359 | -7,751 | -9,511 | -54,257 | -66,577 | -218,753 | -1,531,271 | -3,205,207 | -22,436,449 | -73,719,761 | -516,038,327 |
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