A:
Positive:
1 x 12017424111 x 1092493117 x 706907323 x 5224967187 x 642643253 x 474997391 x 3073514301 x 27941
Negative:
-1 x -120174241-11 x -10924931-17 x -7069073-23 x -5224967-187 x -642643-253 x -474997-391 x -307351-4301 x -27941
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 120,174,241, 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 | 120,174,241 | |
| -1 | -120,174,241 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,174,241.
Example:
1 x 120,174,241 = 120,174,241
and
-1 x -120,174,241 = 120,174,241
Notice both answers equal 120,174,241
With that explanation out of the way, let's continue. Next, we take the number 120,174,241 and divide it by 2:
120,174,241 ÷ 2 = 60,087,120.5
If the quotient is a whole number, then 2 and 60,087,120.5 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 | 120,174,241 | |
| -1 | -120,174,241 |
Now, we try dividing 120,174,241 by 3:
120,174,241 ÷ 3 = 40,058,080.3333
If the quotient is a whole number, then 3 and 40,058,080.3333 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 | 120,174,241 | |
| -1 | -120,174,241 |
Let's try dividing by 4:
120,174,241 ÷ 4 = 30,043,560.25
If the quotient is a whole number, then 4 and 30,043,560.25 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 | 120,174,241 | |
| -1 | 120,174,241 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 23 | 187 | 253 | 391 | 4,301 | 27,941 | 307,351 | 474,997 | 642,643 | 5,224,967 | 7,069,073 | 10,924,931 | 120,174,241 |
| -1 | -11 | -17 | -23 | -187 | -253 | -391 | -4,301 | -27,941 | -307,351 | -474,997 | -642,643 | -5,224,967 | -7,069,073 | -10,924,931 | -120,174,241 |
Here are some more numbers to try:
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