A:
Positive:
1 x 12072022313 x 928617189 x 1356407103 x 11720411013 x 1191711157 x 1043391339 x 901579167 x 13169
Negative:
-1 x -120720223-13 x -9286171-89 x -1356407-103 x -1172041-1013 x -119171-1157 x -104339-1339 x -90157-9167 x -13169
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 120,720,223, 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 | 120,720,223 | |
| -1 | -120,720,223 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,720,223.
Example:
1 x 120,720,223 = 120,720,223
and
-1 x -120,720,223 = 120,720,223
Notice both answers equal 120,720,223
With that explanation out of the way, let's continue. Next, we take the number 120,720,223 and divide it by 2:
120,720,223 ÷ 2 = 60,360,111.5
If the quotient is a whole number, then 2 and 60,360,111.5 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 | 120,720,223 | |
| -1 | -120,720,223 |
Now, we try dividing 120,720,223 by 3:
120,720,223 ÷ 3 = 40,240,074.3333
If the quotient is a whole number, then 3 and 40,240,074.3333 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 | 120,720,223 | |
| -1 | -120,720,223 |
Let's try dividing by 4:
120,720,223 ÷ 4 = 30,180,055.75
If the quotient is a whole number, then 4 and 30,180,055.75 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 | 120,720,223 | |
| -1 | 120,720,223 |
If you did it right, you will end up with this table:
| 1 | 13 | 89 | 103 | 1,013 | 1,157 | 1,339 | 9,167 | 13,169 | 90,157 | 104,339 | 119,171 | 1,172,041 | 1,356,407 | 9,286,171 | 120,720,223 |
| -1 | -13 | -89 | -103 | -1,013 | -1,157 | -1,339 | -9,167 | -13,169 | -90,157 | -104,339 | -119,171 | -1,172,041 | -1,356,407 | -9,286,171 | -120,720,223 |
Here are some more numbers to try:
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