A:
Positive:
1 x 3112032255 x 6224064523 x 1353057525 x 12448129115 x 2706115373 x 834325575 x 5412231451 x 2144751865 x 1668657255 x 428958579 x 362759325 x 33373
Negative:
-1 x -311203225-5 x -62240645-23 x -13530575-25 x -12448129-115 x -2706115-373 x -834325-575 x -541223-1451 x -214475-1865 x -166865-7255 x -42895-8579 x -36275-9325 x -33373
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 311,203,225, 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 | 311,203,225 | |
| -1 | -311,203,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 311,203,225.
Example:
1 x 311,203,225 = 311,203,225
and
-1 x -311,203,225 = 311,203,225
Notice both answers equal 311,203,225
With that explanation out of the way, let's continue. Next, we take the number 311,203,225 and divide it by 2:
311,203,225 ÷ 2 = 155,601,612.5
If the quotient is a whole number, then 2 and 155,601,612.5 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 | 311,203,225 | |
| -1 | -311,203,225 |
Now, we try dividing 311,203,225 by 3:
311,203,225 ÷ 3 = 103,734,408.3333
If the quotient is a whole number, then 3 and 103,734,408.3333 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 | 311,203,225 | |
| -1 | -311,203,225 |
Let's try dividing by 4:
311,203,225 ÷ 4 = 77,800,806.25
If the quotient is a whole number, then 4 and 77,800,806.25 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 | 311,203,225 | |
| -1 | 311,203,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 25 | 115 | 373 | 575 | 1,451 | 1,865 | 7,255 | 8,579 | 9,325 | 33,373 | 36,275 | 42,895 | 166,865 | 214,475 | 541,223 | 834,325 | 2,706,115 | 12,448,129 | 13,530,575 | 62,240,645 | 311,203,225 |
| -1 | -5 | -23 | -25 | -115 | -373 | -575 | -1,451 | -1,865 | -7,255 | -8,579 | -9,325 | -33,373 | -36,275 | -42,895 | -166,865 | -214,475 | -541,223 | -834,325 | -2,706,115 | -12,448,129 | -13,530,575 | -62,240,645 | -311,203,225 |
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