A:
Positive:
1 x 3123132555 x 6246265159 x 5293445295 x 1058689467 x 6687652267 x 1377652335 x 13375311335 x 27553
Negative:
-1 x -312313255-5 x -62462651-59 x -5293445-295 x -1058689-467 x -668765-2267 x -137765-2335 x -133753-11335 x -27553
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 312,313,255, 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 | 312,313,255 | |
| -1 | -312,313,255 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,313,255.
Example:
1 x 312,313,255 = 312,313,255
and
-1 x -312,313,255 = 312,313,255
Notice both answers equal 312,313,255
With that explanation out of the way, let's continue. Next, we take the number 312,313,255 and divide it by 2:
312,313,255 ÷ 2 = 156,156,627.5
If the quotient is a whole number, then 2 and 156,156,627.5 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 | 312,313,255 | |
| -1 | -312,313,255 |
Now, we try dividing 312,313,255 by 3:
312,313,255 ÷ 3 = 104,104,418.3333
If the quotient is a whole number, then 3 and 104,104,418.3333 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 | 312,313,255 | |
| -1 | -312,313,255 |
Let's try dividing by 4:
312,313,255 ÷ 4 = 78,078,313.75
If the quotient is a whole number, then 4 and 78,078,313.75 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 | 312,313,255 | |
| -1 | 312,313,255 |
If you did it right, you will end up with this table:
| 1 | 5 | 59 | 295 | 467 | 2,267 | 2,335 | 11,335 | 27,553 | 133,753 | 137,765 | 668,765 | 1,058,689 | 5,293,445 | 62,462,651 | 312,313,255 |
| -1 | -5 | -59 | -295 | -467 | -2,267 | -2,335 | -11,335 | -27,553 | -133,753 | -137,765 | -668,765 | -1,058,689 | -5,293,445 | -62,462,651 | -312,313,255 |
Here are some more numbers to try:
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