A:
Positive:
1 x 1212302311 x 110209317 x 713119187 x 64829241 x 50303269 x 450672651 x 45732959 x 4097
Negative:
-1 x -12123023-11 x -1102093-17 x -713119-187 x -64829-241 x -50303-269 x -45067-2651 x -4573-2959 x -4097
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 12,123,023, 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 | 12,123,023 | |
| -1 | -12,123,023 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,123,023.
Example:
1 x 12,123,023 = 12,123,023
and
-1 x -12,123,023 = 12,123,023
Notice both answers equal 12,123,023
With that explanation out of the way, let's continue. Next, we take the number 12,123,023 and divide it by 2:
12,123,023 ÷ 2 = 6,061,511.5
If the quotient is a whole number, then 2 and 6,061,511.5 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 | 12,123,023 | |
| -1 | -12,123,023 |
Now, we try dividing 12,123,023 by 3:
12,123,023 ÷ 3 = 4,041,007.6667
If the quotient is a whole number, then 3 and 4,041,007.6667 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 | 12,123,023 | |
| -1 | -12,123,023 |
Let's try dividing by 4:
12,123,023 ÷ 4 = 3,030,755.75
If the quotient is a whole number, then 4 and 3,030,755.75 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 | 12,123,023 | |
| -1 | 12,123,023 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 187 | 241 | 269 | 2,651 | 2,959 | 4,097 | 4,573 | 45,067 | 50,303 | 64,829 | 713,119 | 1,102,093 | 12,123,023 |
| -1 | -11 | -17 | -187 | -241 | -269 | -2,651 | -2,959 | -4,097 | -4,573 | -45,067 | -50,303 | -64,829 | -713,119 | -1,102,093 | -12,123,023 |
Here are some more numbers to try:
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