A:
Positive:
1 x 12041122331 x 388423343 x 2800261103 x 1169041877 x 1372991333 x 903313193 x 377114429 x 27187
Negative:
-1 x -120411223-31 x -3884233-43 x -2800261-103 x -1169041-877 x -137299-1333 x -90331-3193 x -37711-4429 x -27187
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 120,411,223, 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 | 120,411,223 | |
| -1 | -120,411,223 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,411,223.
Example:
1 x 120,411,223 = 120,411,223
and
-1 x -120,411,223 = 120,411,223
Notice both answers equal 120,411,223
With that explanation out of the way, let's continue. Next, we take the number 120,411,223 and divide it by 2:
120,411,223 ÷ 2 = 60,205,611.5
If the quotient is a whole number, then 2 and 60,205,611.5 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 | 120,411,223 | |
| -1 | -120,411,223 |
Now, we try dividing 120,411,223 by 3:
120,411,223 ÷ 3 = 40,137,074.3333
If the quotient is a whole number, then 3 and 40,137,074.3333 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 | 120,411,223 | |
| -1 | -120,411,223 |
Let's try dividing by 4:
120,411,223 ÷ 4 = 30,102,805.75
If the quotient is a whole number, then 4 and 30,102,805.75 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 | 120,411,223 | |
| -1 | 120,411,223 |
If you did it right, you will end up with this table:
| 1 | 31 | 43 | 103 | 877 | 1,333 | 3,193 | 4,429 | 27,187 | 37,711 | 90,331 | 137,299 | 1,169,041 | 2,800,261 | 3,884,233 | 120,411,223 |
| -1 | -31 | -43 | -103 | -877 | -1,333 | -3,193 | -4,429 | -27,187 | -37,711 | -90,331 | -137,299 | -1,169,041 | -2,800,261 | -3,884,233 | -120,411,223 |
Here are some more numbers to try:
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