A:
Positive:
1 x 100086917 x 142981311 x 90988131 x 32286149 x 20425977 x 129983217 x 46123341 x 29351539 x 18569599 x 167091519 x 65892387 x 4193
Negative:
-1 x -10008691-7 x -1429813-11 x -909881-31 x -322861-49 x -204259-77 x -129983-217 x -46123-341 x -29351-539 x -18569-599 x -16709-1519 x -6589-2387 x -4193
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 10,008,691, 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 | 10,008,691 | |
| -1 | -10,008,691 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,008,691.
Example:
1 x 10,008,691 = 10,008,691
and
-1 x -10,008,691 = 10,008,691
Notice both answers equal 10,008,691
With that explanation out of the way, let's continue. Next, we take the number 10,008,691 and divide it by 2:
10,008,691 ÷ 2 = 5,004,345.5
If the quotient is a whole number, then 2 and 5,004,345.5 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 | 10,008,691 | |
| -1 | -10,008,691 |
Now, we try dividing 10,008,691 by 3:
10,008,691 ÷ 3 = 3,336,230.3333
If the quotient is a whole number, then 3 and 3,336,230.3333 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 | 10,008,691 | |
| -1 | -10,008,691 |
Let's try dividing by 4:
10,008,691 ÷ 4 = 2,502,172.75
If the quotient is a whole number, then 4 and 2,502,172.75 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 | 10,008,691 | |
| -1 | 10,008,691 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 31 | 49 | 77 | 217 | 341 | 539 | 599 | 1,519 | 2,387 | 4,193 | 6,589 | 16,709 | 18,569 | 29,351 | 46,123 | 129,983 | 204,259 | 322,861 | 909,881 | 1,429,813 | 10,008,691 |
| -1 | -7 | -11 | -31 | -49 | -77 | -217 | -341 | -539 | -599 | -1,519 | -2,387 | -4,193 | -6,589 | -16,709 | -18,569 | -29,351 | -46,123 | -129,983 | -204,259 | -322,861 | -909,881 | -1,429,813 | -10,008,691 |
Here are some more numbers to try:
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