A:
Positive:
1 x 126381717 x 180545313 x 97216729 x 43579991 x 138881203 x 62257377 x 335232639 x 4789
Negative:
-1 x -12638171-7 x -1805453-13 x -972167-29 x -435799-91 x -138881-203 x -62257-377 x -33523-2639 x -4789
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 12,638,171, 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 | 12,638,171 | |
| -1 | -12,638,171 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,638,171.
Example:
1 x 12,638,171 = 12,638,171
and
-1 x -12,638,171 = 12,638,171
Notice both answers equal 12,638,171
With that explanation out of the way, let's continue. Next, we take the number 12,638,171 and divide it by 2:
12,638,171 ÷ 2 = 6,319,085.5
If the quotient is a whole number, then 2 and 6,319,085.5 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 | 12,638,171 | |
| -1 | -12,638,171 |
Now, we try dividing 12,638,171 by 3:
12,638,171 ÷ 3 = 4,212,723.6667
If the quotient is a whole number, then 3 and 4,212,723.6667 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 | 12,638,171 | |
| -1 | -12,638,171 |
Let's try dividing by 4:
12,638,171 ÷ 4 = 3,159,542.75
If the quotient is a whole number, then 4 and 3,159,542.75 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 | 12,638,171 | |
| -1 | 12,638,171 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 29 | 91 | 203 | 377 | 2,639 | 4,789 | 33,523 | 62,257 | 138,881 | 435,799 | 972,167 | 1,805,453 | 12,638,171 |
| -1 | -7 | -13 | -29 | -91 | -203 | -377 | -2,639 | -4,789 | -33,523 | -62,257 | -138,881 | -435,799 | -972,167 | -1,805,453 | -12,638,171 |
Here are some more numbers to try:
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