A:
Positive:
1 x 3131302155 x 6262604347 x 666234573 x 4289455235 x 1332469365 x 8578913431 x 9126517155 x 18253
Negative:
-1 x -313130215-5 x -62626043-47 x -6662345-73 x -4289455-235 x -1332469-365 x -857891-3431 x -91265-17155 x -18253
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 313,130,215, 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 | 313,130,215 | |
| -1 | -313,130,215 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 313,130,215.
Example:
1 x 313,130,215 = 313,130,215
and
-1 x -313,130,215 = 313,130,215
Notice both answers equal 313,130,215
With that explanation out of the way, let's continue. Next, we take the number 313,130,215 and divide it by 2:
313,130,215 ÷ 2 = 156,565,107.5
If the quotient is a whole number, then 2 and 156,565,107.5 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 | 313,130,215 | |
| -1 | -313,130,215 |
Now, we try dividing 313,130,215 by 3:
313,130,215 ÷ 3 = 104,376,738.3333
If the quotient is a whole number, then 3 and 104,376,738.3333 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 | 313,130,215 | |
| -1 | -313,130,215 |
Let's try dividing by 4:
313,130,215 ÷ 4 = 78,282,553.75
If the quotient is a whole number, then 4 and 78,282,553.75 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 | 313,130,215 | |
| -1 | 313,130,215 |
If you did it right, you will end up with this table:
| 1 | 5 | 47 | 73 | 235 | 365 | 3,431 | 17,155 | 18,253 | 91,265 | 857,891 | 1,332,469 | 4,289,455 | 6,662,345 | 62,626,043 | 313,130,215 |
| -1 | -5 | -47 | -73 | -235 | -365 | -3,431 | -17,155 | -18,253 | -91,265 | -857,891 | -1,332,469 | -4,289,455 | -6,662,345 | -62,626,043 | -313,130,215 |
Here are some more numbers to try:
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