A:
Positive:
1 x 3105531655 x 6211063313 x 2388870565 x 4777741173 x 1795105865 x 3590212249 x 13808511245 x 27617
Negative:
-1 x -310553165-5 x -62110633-13 x -23888705-65 x -4777741-173 x -1795105-865 x -359021-2249 x -138085-11245 x -27617
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 310,553,165, 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 | 310,553,165 | |
| -1 | -310,553,165 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,553,165.
Example:
1 x 310,553,165 = 310,553,165
and
-1 x -310,553,165 = 310,553,165
Notice both answers equal 310,553,165
With that explanation out of the way, let's continue. Next, we take the number 310,553,165 and divide it by 2:
310,553,165 ÷ 2 = 155,276,582.5
If the quotient is a whole number, then 2 and 155,276,582.5 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 | 310,553,165 | |
| -1 | -310,553,165 |
Now, we try dividing 310,553,165 by 3:
310,553,165 ÷ 3 = 103,517,721.6667
If the quotient is a whole number, then 3 and 103,517,721.6667 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 | 310,553,165 | |
| -1 | -310,553,165 |
Let's try dividing by 4:
310,553,165 ÷ 4 = 77,638,291.25
If the quotient is a whole number, then 4 and 77,638,291.25 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 | 310,553,165 | |
| -1 | 310,553,165 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 173 | 865 | 2,249 | 11,245 | 27,617 | 138,085 | 359,021 | 1,795,105 | 4,777,741 | 23,888,705 | 62,110,633 | 310,553,165 |
| -1 | -5 | -13 | -65 | -173 | -865 | -2,249 | -11,245 | -27,617 | -138,085 | -359,021 | -1,795,105 | -4,777,741 | -23,888,705 | -62,110,633 | -310,553,165 |
Here are some more numbers to try:
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