A:
Positive:
1 x 3131200255 x 6262400517 x 1841882525 x 1252480153 x 590792585 x 3683765265 x 1181585425 x 736753901 x 3475251325 x 2363174505 x 6950513901 x 22525
Negative:
-1 x -313120025-5 x -62624005-17 x -18418825-25 x -12524801-53 x -5907925-85 x -3683765-265 x -1181585-425 x -736753-901 x -347525-1325 x -236317-4505 x -69505-13901 x -22525
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 313,120,025, 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 | 313,120,025 | |
| -1 | -313,120,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 313,120,025.
Example:
1 x 313,120,025 = 313,120,025
and
-1 x -313,120,025 = 313,120,025
Notice both answers equal 313,120,025
With that explanation out of the way, let's continue. Next, we take the number 313,120,025 and divide it by 2:
313,120,025 ÷ 2 = 156,560,012.5
If the quotient is a whole number, then 2 and 156,560,012.5 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 | 313,120,025 | |
| -1 | -313,120,025 |
Now, we try dividing 313,120,025 by 3:
313,120,025 ÷ 3 = 104,373,341.6667
If the quotient is a whole number, then 3 and 104,373,341.6667 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 | 313,120,025 | |
| -1 | -313,120,025 |
Let's try dividing by 4:
313,120,025 ÷ 4 = 78,280,006.25
If the quotient is a whole number, then 4 and 78,280,006.25 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 | 313,120,025 | |
| -1 | 313,120,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 25 | 53 | 85 | 265 | 425 | 901 | 1,325 | 4,505 | 13,901 | 22,525 | 69,505 | 236,317 | 347,525 | 736,753 | 1,181,585 | 3,683,765 | 5,907,925 | 12,524,801 | 18,418,825 | 62,624,005 | 313,120,025 |
| -1 | -5 | -17 | -25 | -53 | -85 | -265 | -425 | -901 | -1,325 | -4,505 | -13,901 | -22,525 | -69,505 | -236,317 | -347,525 | -736,753 | -1,181,585 | -3,683,765 | -5,907,925 | -12,524,801 | -18,418,825 | -62,624,005 | -313,120,025 |
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