A:
Positive:
1 x 1203123117 x 17187473101 x 1191211167 x 720433707 x 1701731019 x 1180691169 x 1029197133 x 16867
Negative:
-1 x -120312311-7 x -17187473-101 x -1191211-167 x -720433-707 x -170173-1019 x -118069-1169 x -102919-7133 x -16867
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 120,312,311, 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 | 120,312,311 | |
| -1 | -120,312,311 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,312,311.
Example:
1 x 120,312,311 = 120,312,311
and
-1 x -120,312,311 = 120,312,311
Notice both answers equal 120,312,311
With that explanation out of the way, let's continue. Next, we take the number 120,312,311 and divide it by 2:
120,312,311 ÷ 2 = 60,156,155.5
If the quotient is a whole number, then 2 and 60,156,155.5 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 | 120,312,311 | |
| -1 | -120,312,311 |
Now, we try dividing 120,312,311 by 3:
120,312,311 ÷ 3 = 40,104,103.6667
If the quotient is a whole number, then 3 and 40,104,103.6667 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 | 120,312,311 | |
| -1 | -120,312,311 |
Let's try dividing by 4:
120,312,311 ÷ 4 = 30,078,077.75
If the quotient is a whole number, then 4 and 30,078,077.75 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 | 120,312,311 | |
| -1 | 120,312,311 |
If you did it right, you will end up with this table:
| 1 | 7 | 101 | 167 | 707 | 1,019 | 1,169 | 7,133 | 16,867 | 102,919 | 118,069 | 170,173 | 720,433 | 1,191,211 | 17,187,473 | 120,312,311 |
| -1 | -7 | -101 | -167 | -707 | -1,019 | -1,169 | -7,133 | -16,867 | -102,919 | -118,069 | -170,173 | -720,433 | -1,191,211 | -17,187,473 | -120,312,311 |
Here are some more numbers to try:
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