A:
Positive:
1 x 10593181313 x 814860123 x 4605731299 x 354287347 x 3052791021 x 1037534511 x 234837981 x 13273
Negative:
-1 x -105931813-13 x -8148601-23 x -4605731-299 x -354287-347 x -305279-1021 x -103753-4511 x -23483-7981 x -13273
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 105,931,813, 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 | 105,931,813 | |
| -1 | -105,931,813 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,931,813.
Example:
1 x 105,931,813 = 105,931,813
and
-1 x -105,931,813 = 105,931,813
Notice both answers equal 105,931,813
With that explanation out of the way, let's continue. Next, we take the number 105,931,813 and divide it by 2:
105,931,813 ÷ 2 = 52,965,906.5
If the quotient is a whole number, then 2 and 52,965,906.5 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 | 105,931,813 | |
| -1 | -105,931,813 |
Now, we try dividing 105,931,813 by 3:
105,931,813 ÷ 3 = 35,310,604.3333
If the quotient is a whole number, then 3 and 35,310,604.3333 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 | 105,931,813 | |
| -1 | -105,931,813 |
Let's try dividing by 4:
105,931,813 ÷ 4 = 26,482,953.25
If the quotient is a whole number, then 4 and 26,482,953.25 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 | 105,931,813 | |
| -1 | 105,931,813 |
If you did it right, you will end up with this table:
| 1 | 13 | 23 | 299 | 347 | 1,021 | 4,511 | 7,981 | 13,273 | 23,483 | 103,753 | 305,279 | 354,287 | 4,605,731 | 8,148,601 | 105,931,813 |
| -1 | -13 | -23 | -299 | -347 | -1,021 | -4,511 | -7,981 | -13,273 | -23,483 | -103,753 | -305,279 | -354,287 | -4,605,731 | -8,148,601 | -105,931,813 |
Here are some more numbers to try:
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