A:
Positive:
1 x 31032043117 x 1825414341 x 7568791431 x 720001697 x 4452231033 x 3004077327 x 4235317561 x 17671
Negative:
-1 x -310320431-17 x -18254143-41 x -7568791-431 x -720001-697 x -445223-1033 x -300407-7327 x -42353-17561 x -17671
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 310,320,431, 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 | 310,320,431 | |
| -1 | -310,320,431 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,320,431.
Example:
1 x 310,320,431 = 310,320,431
and
-1 x -310,320,431 = 310,320,431
Notice both answers equal 310,320,431
With that explanation out of the way, let's continue. Next, we take the number 310,320,431 and divide it by 2:
310,320,431 ÷ 2 = 155,160,215.5
If the quotient is a whole number, then 2 and 155,160,215.5 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 | 310,320,431 | |
| -1 | -310,320,431 |
Now, we try dividing 310,320,431 by 3:
310,320,431 ÷ 3 = 103,440,143.6667
If the quotient is a whole number, then 3 and 103,440,143.6667 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 | 310,320,431 | |
| -1 | -310,320,431 |
Let's try dividing by 4:
310,320,431 ÷ 4 = 77,580,107.75
If the quotient is a whole number, then 4 and 77,580,107.75 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 | 310,320,431 | |
| -1 | 310,320,431 |
If you did it right, you will end up with this table:
| 1 | 17 | 41 | 431 | 697 | 1,033 | 7,327 | 17,561 | 17,671 | 42,353 | 300,407 | 445,223 | 720,001 | 7,568,791 | 18,254,143 | 310,320,431 |
| -1 | -17 | -41 | -431 | -697 | -1,033 | -7,327 | -17,561 | -17,671 | -42,353 | -300,407 | -445,223 | -720,001 | -7,568,791 | -18,254,143 | -310,320,431 |
Here are some more numbers to try:
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