A:
Positive:
1 x 311502317 x 445003349 x 635719197 x 158123343 x 90817461 x 675711379 x 225893227 x 9653
Negative:
-1 x -31150231-7 x -4450033-49 x -635719-197 x -158123-343 x -90817-461 x -67571-1379 x -22589-3227 x -9653
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 31,150,231, 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 | 31,150,231 | |
| -1 | -31,150,231 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,150,231.
Example:
1 x 31,150,231 = 31,150,231
and
-1 x -31,150,231 = 31,150,231
Notice both answers equal 31,150,231
With that explanation out of the way, let's continue. Next, we take the number 31,150,231 and divide it by 2:
31,150,231 ÷ 2 = 15,575,115.5
If the quotient is a whole number, then 2 and 15,575,115.5 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 | 31,150,231 | |
| -1 | -31,150,231 |
Now, we try dividing 31,150,231 by 3:
31,150,231 ÷ 3 = 10,383,410.3333
If the quotient is a whole number, then 3 and 10,383,410.3333 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 | 31,150,231 | |
| -1 | -31,150,231 |
Let's try dividing by 4:
31,150,231 ÷ 4 = 7,787,557.75
If the quotient is a whole number, then 4 and 7,787,557.75 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 | 31,150,231 | |
| -1 | 31,150,231 |
If you did it right, you will end up with this table:
| 1 | 7 | 49 | 197 | 343 | 461 | 1,379 | 3,227 | 9,653 | 22,589 | 67,571 | 90,817 | 158,123 | 635,719 | 4,450,033 | 31,150,231 |
| -1 | -7 | -49 | -197 | -343 | -461 | -1,379 | -3,227 | -9,653 | -22,589 | -67,571 | -90,817 | -158,123 | -635,719 | -4,450,033 | -31,150,231 |
Here are some more numbers to try:
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