A:
Positive:
1 x 101232117 x 144617317 x 59548397 x 104363119 x 85069679 x 14909877 x 115431649 x 6139
Negative:
-1 x -10123211-7 x -1446173-17 x -595483-97 x -104363-119 x -85069-679 x -14909-877 x -11543-1649 x -6139
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 10,123,211, 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 | 10,123,211 | |
| -1 | -10,123,211 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,123,211.
Example:
1 x 10,123,211 = 10,123,211
and
-1 x -10,123,211 = 10,123,211
Notice both answers equal 10,123,211
With that explanation out of the way, let's continue. Next, we take the number 10,123,211 and divide it by 2:
10,123,211 ÷ 2 = 5,061,605.5
If the quotient is a whole number, then 2 and 5,061,605.5 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 | 10,123,211 | |
| -1 | -10,123,211 |
Now, we try dividing 10,123,211 by 3:
10,123,211 ÷ 3 = 3,374,403.6667
If the quotient is a whole number, then 3 and 3,374,403.6667 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 | 10,123,211 | |
| -1 | -10,123,211 |
Let's try dividing by 4:
10,123,211 ÷ 4 = 2,530,802.75
If the quotient is a whole number, then 4 and 2,530,802.75 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 | 10,123,211 | |
| -1 | 10,123,211 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 97 | 119 | 679 | 877 | 1,649 | 6,139 | 11,543 | 14,909 | 85,069 | 104,363 | 595,483 | 1,446,173 | 10,123,211 |
| -1 | -7 | -17 | -97 | -119 | -679 | -877 | -1,649 | -6,139 | -11,543 | -14,909 | -85,069 | -104,363 | -595,483 | -1,446,173 | -10,123,211 |
Here are some more numbers to try:
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