A:
Positive:
1 x 1201013177 x 1715733189 x 1349453263 x 456659623 x 192779733 x 1638491841 x 652375131 x 23407
Negative:
-1 x -120101317-7 x -17157331-89 x -1349453-263 x -456659-623 x -192779-733 x -163849-1841 x -65237-5131 x -23407
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 120,101,317, 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 | 120,101,317 | |
| -1 | -120,101,317 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,101,317.
Example:
1 x 120,101,317 = 120,101,317
and
-1 x -120,101,317 = 120,101,317
Notice both answers equal 120,101,317
With that explanation out of the way, let's continue. Next, we take the number 120,101,317 and divide it by 2:
120,101,317 ÷ 2 = 60,050,658.5
If the quotient is a whole number, then 2 and 60,050,658.5 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 | 120,101,317 | |
| -1 | -120,101,317 |
Now, we try dividing 120,101,317 by 3:
120,101,317 ÷ 3 = 40,033,772.3333
If the quotient is a whole number, then 3 and 40,033,772.3333 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 | 120,101,317 | |
| -1 | -120,101,317 |
Let's try dividing by 4:
120,101,317 ÷ 4 = 30,025,329.25
If the quotient is a whole number, then 4 and 30,025,329.25 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 | 120,101,317 | |
| -1 | 120,101,317 |
If you did it right, you will end up with this table:
| 1 | 7 | 89 | 263 | 623 | 733 | 1,841 | 5,131 | 23,407 | 65,237 | 163,849 | 192,779 | 456,659 | 1,349,453 | 17,157,331 | 120,101,317 |
| -1 | -7 | -89 | -263 | -623 | -733 | -1,841 | -5,131 | -23,407 | -65,237 | -163,849 | -192,779 | -456,659 | -1,349,453 | -17,157,331 | -120,101,317 |
Here are some more numbers to try:
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