A:
Positive:
1 x 311057155 x 622114337 x 840695185 x 168139277 x 112295607 x 512451385 x 224593035 x 10249
Negative:
-1 x -31105715-5 x -6221143-37 x -840695-185 x -168139-277 x -112295-607 x -51245-1385 x -22459-3035 x -10249
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 31,105,715, 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 | 31,105,715 | |
| -1 | -31,105,715 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,105,715.
Example:
1 x 31,105,715 = 31,105,715
and
-1 x -31,105,715 = 31,105,715
Notice both answers equal 31,105,715
With that explanation out of the way, let's continue. Next, we take the number 31,105,715 and divide it by 2:
31,105,715 ÷ 2 = 15,552,857.5
If the quotient is a whole number, then 2 and 15,552,857.5 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 | 31,105,715 | |
| -1 | -31,105,715 |
Now, we try dividing 31,105,715 by 3:
31,105,715 ÷ 3 = 10,368,571.6667
If the quotient is a whole number, then 3 and 10,368,571.6667 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 | 31,105,715 | |
| -1 | -31,105,715 |
Let's try dividing by 4:
31,105,715 ÷ 4 = 7,776,428.75
If the quotient is a whole number, then 4 and 7,776,428.75 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 | 31,105,715 | |
| -1 | 31,105,715 |
If you did it right, you will end up with this table:
| 1 | 5 | 37 | 185 | 277 | 607 | 1,385 | 3,035 | 10,249 | 22,459 | 51,245 | 112,295 | 168,139 | 840,695 | 6,221,143 | 31,105,715 |
| -1 | -5 | -37 | -185 | -277 | -607 | -1,385 | -3,035 | -10,249 | -22,459 | -51,245 | -112,295 | -168,139 | -840,695 | -6,221,143 | -31,105,715 |
Here are some more numbers to try:
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