A:
Positive:
1 x 3102022155 x 6204044343 x 7214005215 x 1442801389 x 7974351945 x 1594873709 x 8363516727 x 18545
Negative:
-1 x -310202215-5 x -62040443-43 x -7214005-215 x -1442801-389 x -797435-1945 x -159487-3709 x -83635-16727 x -18545
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 310,202,215, 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 | 310,202,215 | |
| -1 | -310,202,215 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,202,215.
Example:
1 x 310,202,215 = 310,202,215
and
-1 x -310,202,215 = 310,202,215
Notice both answers equal 310,202,215
With that explanation out of the way, let's continue. Next, we take the number 310,202,215 and divide it by 2:
310,202,215 ÷ 2 = 155,101,107.5
If the quotient is a whole number, then 2 and 155,101,107.5 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 | 310,202,215 | |
| -1 | -310,202,215 |
Now, we try dividing 310,202,215 by 3:
310,202,215 ÷ 3 = 103,400,738.3333
If the quotient is a whole number, then 3 and 103,400,738.3333 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 | 310,202,215 | |
| -1 | -310,202,215 |
Let's try dividing by 4:
310,202,215 ÷ 4 = 77,550,553.75
If the quotient is a whole number, then 4 and 77,550,553.75 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 | 310,202,215 | |
| -1 | 310,202,215 |
If you did it right, you will end up with this table:
| 1 | 5 | 43 | 215 | 389 | 1,945 | 3,709 | 16,727 | 18,545 | 83,635 | 159,487 | 797,435 | 1,442,801 | 7,214,005 | 62,040,443 | 310,202,215 |
| -1 | -5 | -43 | -215 | -389 | -1,945 | -3,709 | -16,727 | -18,545 | -83,635 | -159,487 | -797,435 | -1,442,801 | -7,214,005 | -62,040,443 | -310,202,215 |
Here are some more numbers to try:
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