A:
Positive:
1 x 111421317 x 159173311 x 101292113 x 85708777 x 14470391 x 122441143 x 779171001 x 11131
Negative:
-1 x -11142131-7 x -1591733-11 x -1012921-13 x -857087-77 x -144703-91 x -122441-143 x -77917-1001 x -11131
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 11,142,131, 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 | 11,142,131 | |
| -1 | -11,142,131 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 11,142,131.
Example:
1 x 11,142,131 = 11,142,131
and
-1 x -11,142,131 = 11,142,131
Notice both answers equal 11,142,131
With that explanation out of the way, let's continue. Next, we take the number 11,142,131 and divide it by 2:
11,142,131 ÷ 2 = 5,571,065.5
If the quotient is a whole number, then 2 and 5,571,065.5 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 | 11,142,131 | |
| -1 | -11,142,131 |
Now, we try dividing 11,142,131 by 3:
11,142,131 ÷ 3 = 3,714,043.6667
If the quotient is a whole number, then 3 and 3,714,043.6667 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 | 11,142,131 | |
| -1 | -11,142,131 |
Let's try dividing by 4:
11,142,131 ÷ 4 = 2,785,532.75
If the quotient is a whole number, then 4 and 2,785,532.75 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 | 11,142,131 | |
| -1 | 11,142,131 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 13 | 77 | 91 | 143 | 1,001 | 11,131 | 77,917 | 122,441 | 144,703 | 857,087 | 1,012,921 | 1,591,733 | 11,142,131 |
| -1 | -7 | -11 | -13 | -77 | -91 | -143 | -1,001 | -11,131 | -77,917 | -122,441 | -144,703 | -857,087 | -1,012,921 | -1,591,733 | -11,142,131 |
Here are some more numbers to try:
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