A:
Positive:
1 x 12040130311 x 1094557331 x 388391371 x 1695793341 x 353083781 x 1541632201 x 547034973 x 24211
Negative:
-1 x -120401303-11 x -10945573-31 x -3883913-71 x -1695793-341 x -353083-781 x -154163-2201 x -54703-4973 x -24211
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 120,401,303, 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 | 120,401,303 | |
| -1 | -120,401,303 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,401,303.
Example:
1 x 120,401,303 = 120,401,303
and
-1 x -120,401,303 = 120,401,303
Notice both answers equal 120,401,303
With that explanation out of the way, let's continue. Next, we take the number 120,401,303 and divide it by 2:
120,401,303 ÷ 2 = 60,200,651.5
If the quotient is a whole number, then 2 and 60,200,651.5 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 | 120,401,303 | |
| -1 | -120,401,303 |
Now, we try dividing 120,401,303 by 3:
120,401,303 ÷ 3 = 40,133,767.6667
If the quotient is a whole number, then 3 and 40,133,767.6667 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 | 120,401,303 | |
| -1 | -120,401,303 |
Let's try dividing by 4:
120,401,303 ÷ 4 = 30,100,325.75
If the quotient is a whole number, then 4 and 30,100,325.75 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 | 120,401,303 | |
| -1 | 120,401,303 |
If you did it right, you will end up with this table:
| 1 | 11 | 31 | 71 | 341 | 781 | 2,201 | 4,973 | 24,211 | 54,703 | 154,163 | 353,083 | 1,695,793 | 3,883,913 | 10,945,573 | 120,401,303 |
| -1 | -11 | -31 | -71 | -341 | -781 | -2,201 | -4,973 | -24,211 | -54,703 | -154,163 | -353,083 | -1,695,793 | -3,883,913 | -10,945,573 | -120,401,303 |
Here are some more numbers to try:
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