A:
Positive:
1 x 121324077 x 173320117 x 71367143 x 282149119 x 101953301 x 40307731 x 165972371 x 5117
Negative:
-1 x -12132407-7 x -1733201-17 x -713671-43 x -282149-119 x -101953-301 x -40307-731 x -16597-2371 x -5117
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 12,132,407, 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 | 12,132,407 | |
| -1 | -12,132,407 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,132,407.
Example:
1 x 12,132,407 = 12,132,407
and
-1 x -12,132,407 = 12,132,407
Notice both answers equal 12,132,407
With that explanation out of the way, let's continue. Next, we take the number 12,132,407 and divide it by 2:
12,132,407 ÷ 2 = 6,066,203.5
If the quotient is a whole number, then 2 and 6,066,203.5 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 | 12,132,407 | |
| -1 | -12,132,407 |
Now, we try dividing 12,132,407 by 3:
12,132,407 ÷ 3 = 4,044,135.6667
If the quotient is a whole number, then 3 and 4,044,135.6667 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 | 12,132,407 | |
| -1 | -12,132,407 |
Let's try dividing by 4:
12,132,407 ÷ 4 = 3,033,101.75
If the quotient is a whole number, then 4 and 3,033,101.75 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 | 12,132,407 | |
| -1 | 12,132,407 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 43 | 119 | 301 | 731 | 2,371 | 5,117 | 16,597 | 40,307 | 101,953 | 282,149 | 713,671 | 1,733,201 | 12,132,407 |
| -1 | -7 | -17 | -43 | -119 | -301 | -731 | -2,371 | -5,117 | -16,597 | -40,307 | -101,953 | -282,149 | -713,671 | -1,733,201 | -12,132,407 |
Here are some more numbers to try:
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