A:
Positive:
1 x 121360197 x 173371723 x 52765343 x 282233161 x 75379301 x 40319989 x 122711753 x 6923
Negative:
-1 x -12136019-7 x -1733717-23 x -527653-43 x -282233-161 x -75379-301 x -40319-989 x -12271-1753 x -6923
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 12,136,019, 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 | 12,136,019 | |
| -1 | -12,136,019 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,136,019.
Example:
1 x 12,136,019 = 12,136,019
and
-1 x -12,136,019 = 12,136,019
Notice both answers equal 12,136,019
With that explanation out of the way, let's continue. Next, we take the number 12,136,019 and divide it by 2:
12,136,019 ÷ 2 = 6,068,009.5
If the quotient is a whole number, then 2 and 6,068,009.5 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 | 12,136,019 | |
| -1 | -12,136,019 |
Now, we try dividing 12,136,019 by 3:
12,136,019 ÷ 3 = 4,045,339.6667
If the quotient is a whole number, then 3 and 4,045,339.6667 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 | 12,136,019 | |
| -1 | -12,136,019 |
Let's try dividing by 4:
12,136,019 ÷ 4 = 3,034,004.75
If the quotient is a whole number, then 4 and 3,034,004.75 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 | 12,136,019 | |
| -1 | 12,136,019 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 43 | 161 | 301 | 989 | 1,753 | 6,923 | 12,271 | 40,319 | 75,379 | 282,233 | 527,653 | 1,733,717 | 12,136,019 |
| -1 | -7 | -23 | -43 | -161 | -301 | -989 | -1,753 | -6,923 | -12,271 | -40,319 | -75,379 | -282,233 | -527,653 | -1,733,717 | -12,136,019 |
Here are some more numbers to try:
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