A:
Positive:
1 x 3122098455 x 6244196917 x 1836528585 x 3673057283 x 11032151415 x 2206434811 x 6489512979 x 24055
Negative:
-1 x -312209845-5 x -62441969-17 x -18365285-85 x -3673057-283 x -1103215-1415 x -220643-4811 x -64895-12979 x -24055
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 312,209,845, 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 | 312,209,845 | |
| -1 | -312,209,845 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,209,845.
Example:
1 x 312,209,845 = 312,209,845
and
-1 x -312,209,845 = 312,209,845
Notice both answers equal 312,209,845
With that explanation out of the way, let's continue. Next, we take the number 312,209,845 and divide it by 2:
312,209,845 ÷ 2 = 156,104,922.5
If the quotient is a whole number, then 2 and 156,104,922.5 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 | 312,209,845 | |
| -1 | -312,209,845 |
Now, we try dividing 312,209,845 by 3:
312,209,845 ÷ 3 = 104,069,948.3333
If the quotient is a whole number, then 3 and 104,069,948.3333 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 | 312,209,845 | |
| -1 | -312,209,845 |
Let's try dividing by 4:
312,209,845 ÷ 4 = 78,052,461.25
If the quotient is a whole number, then 4 and 78,052,461.25 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 | 312,209,845 | |
| -1 | 312,209,845 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 85 | 283 | 1,415 | 4,811 | 12,979 | 24,055 | 64,895 | 220,643 | 1,103,215 | 3,673,057 | 18,365,285 | 62,441,969 | 312,209,845 |
| -1 | -5 | -17 | -85 | -283 | -1,415 | -4,811 | -12,979 | -24,055 | -64,895 | -220,643 | -1,103,215 | -3,673,057 | -18,365,285 | -62,441,969 | -312,209,845 |
Here are some more numbers to try:
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