A:
Positive:
1 x 1210023111 x 110002113 x 93078723 x 526097143 x 84617169 x 71599253 x 47827283 x 42757299 x 404691859 x 65093113 x 38873289 x 3679
Negative:
-1 x -12100231-11 x -1100021-13 x -930787-23 x -526097-143 x -84617-169 x -71599-253 x -47827-283 x -42757-299 x -40469-1859 x -6509-3113 x -3887-3289 x -3679
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 12,100,231, 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 | 12,100,231 | |
| -1 | -12,100,231 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,100,231.
Example:
1 x 12,100,231 = 12,100,231
and
-1 x -12,100,231 = 12,100,231
Notice both answers equal 12,100,231
With that explanation out of the way, let's continue. Next, we take the number 12,100,231 and divide it by 2:
12,100,231 ÷ 2 = 6,050,115.5
If the quotient is a whole number, then 2 and 6,050,115.5 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 | 12,100,231 | |
| -1 | -12,100,231 |
Now, we try dividing 12,100,231 by 3:
12,100,231 ÷ 3 = 4,033,410.3333
If the quotient is a whole number, then 3 and 4,033,410.3333 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 | 12,100,231 | |
| -1 | -12,100,231 |
Let's try dividing by 4:
12,100,231 ÷ 4 = 3,025,057.75
If the quotient is a whole number, then 4 and 3,025,057.75 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 | 12,100,231 | |
| -1 | 12,100,231 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 23 | 143 | 169 | 253 | 283 | 299 | 1,859 | 3,113 | 3,289 | 3,679 | 3,887 | 6,509 | 40,469 | 42,757 | 47,827 | 71,599 | 84,617 | 526,097 | 930,787 | 1,100,021 | 12,100,231 |
| -1 | -11 | -13 | -23 | -143 | -169 | -253 | -283 | -299 | -1,859 | -3,113 | -3,289 | -3,679 | -3,887 | -6,509 | -40,469 | -42,757 | -47,827 | -71,599 | -84,617 | -526,097 | -930,787 | -1,100,021 | -12,100,231 |
Here are some more numbers to try:
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