A:
Positive:
1 x 3128528417 x 4469326319 x 1646593929 x 10788029133 x 2352277203 x 1541147551 x 567791841 x 3720012797 x 1118533857 x 811135887 x 5314315979 x 19579
Negative:
-1 x -312852841-7 x -44693263-19 x -16465939-29 x -10788029-133 x -2352277-203 x -1541147-551 x -567791-841 x -372001-2797 x -111853-3857 x -81113-5887 x -53143-15979 x -19579
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 312,852,841, 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 | 312,852,841 | |
| -1 | -312,852,841 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,852,841.
Example:
1 x 312,852,841 = 312,852,841
and
-1 x -312,852,841 = 312,852,841
Notice both answers equal 312,852,841
With that explanation out of the way, let's continue. Next, we take the number 312,852,841 and divide it by 2:
312,852,841 ÷ 2 = 156,426,420.5
If the quotient is a whole number, then 2 and 156,426,420.5 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 | 312,852,841 | |
| -1 | -312,852,841 |
Now, we try dividing 312,852,841 by 3:
312,852,841 ÷ 3 = 104,284,280.3333
If the quotient is a whole number, then 3 and 104,284,280.3333 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 | 312,852,841 | |
| -1 | -312,852,841 |
Let's try dividing by 4:
312,852,841 ÷ 4 = 78,213,210.25
If the quotient is a whole number, then 4 and 78,213,210.25 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 | 312,852,841 | |
| -1 | 312,852,841 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 29 | 133 | 203 | 551 | 841 | 2,797 | 3,857 | 5,887 | 15,979 | 19,579 | 53,143 | 81,113 | 111,853 | 372,001 | 567,791 | 1,541,147 | 2,352,277 | 10,788,029 | 16,465,939 | 44,693,263 | 312,852,841 |
| -1 | -7 | -19 | -29 | -133 | -203 | -551 | -841 | -2,797 | -3,857 | -5,887 | -15,979 | -19,579 | -53,143 | -81,113 | -111,853 | -372,001 | -567,791 | -1,541,147 | -2,352,277 | -10,788,029 | -16,465,939 | -44,693,263 | -312,852,841 |
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