A:
Positive:
1 x 312372055 x 624744129 x 1077145145 x 215429367 x 85115587 x 532151835 x 170232935 x 10643
Negative:
-1 x -31237205-5 x -6247441-29 x -1077145-145 x -215429-367 x -85115-587 x -53215-1835 x -17023-2935 x -10643
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 31,237,205, 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 | 31,237,205 | |
| -1 | -31,237,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,237,205.
Example:
1 x 31,237,205 = 31,237,205
and
-1 x -31,237,205 = 31,237,205
Notice both answers equal 31,237,205
With that explanation out of the way, let's continue. Next, we take the number 31,237,205 and divide it by 2:
31,237,205 ÷ 2 = 15,618,602.5
If the quotient is a whole number, then 2 and 15,618,602.5 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 | 31,237,205 | |
| -1 | -31,237,205 |
Now, we try dividing 31,237,205 by 3:
31,237,205 ÷ 3 = 10,412,401.6667
If the quotient is a whole number, then 3 and 10,412,401.6667 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 | 31,237,205 | |
| -1 | -31,237,205 |
Let's try dividing by 4:
31,237,205 ÷ 4 = 7,809,301.25
If the quotient is a whole number, then 4 and 7,809,301.25 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 | 31,237,205 | |
| -1 | 31,237,205 |
If you did it right, you will end up with this table:
| 1 | 5 | 29 | 145 | 367 | 587 | 1,835 | 2,935 | 10,643 | 17,023 | 53,215 | 85,115 | 215,429 | 1,077,145 | 6,247,441 | 31,237,205 |
| -1 | -5 | -29 | -145 | -367 | -587 | -1,835 | -2,935 | -10,643 | -17,023 | -53,215 | -85,115 | -215,429 | -1,077,145 | -6,247,441 | -31,237,205 |
Here are some more numbers to try:
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