A:
Positive:
1 x 31003130319 x 1631743797 x 3196199149 x 20807471129 x 2746071843 x 1682212831 x 10951314453 x 21451
Negative:
-1 x -310031303-19 x -16317437-97 x -3196199-149 x -2080747-1129 x -274607-1843 x -168221-2831 x -109513-14453 x -21451
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 310,031,303, 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 | 310,031,303 | |
| -1 | -310,031,303 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,031,303.
Example:
1 x 310,031,303 = 310,031,303
and
-1 x -310,031,303 = 310,031,303
Notice both answers equal 310,031,303
With that explanation out of the way, let's continue. Next, we take the number 310,031,303 and divide it by 2:
310,031,303 ÷ 2 = 155,015,651.5
If the quotient is a whole number, then 2 and 155,015,651.5 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 | 310,031,303 | |
| -1 | -310,031,303 |
Now, we try dividing 310,031,303 by 3:
310,031,303 ÷ 3 = 103,343,767.6667
If the quotient is a whole number, then 3 and 103,343,767.6667 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 | 310,031,303 | |
| -1 | -310,031,303 |
Let's try dividing by 4:
310,031,303 ÷ 4 = 77,507,825.75
If the quotient is a whole number, then 4 and 77,507,825.75 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 | 310,031,303 | |
| -1 | 310,031,303 |
If you did it right, you will end up with this table:
| 1 | 19 | 97 | 149 | 1,129 | 1,843 | 2,831 | 14,453 | 21,451 | 109,513 | 168,221 | 274,607 | 2,080,747 | 3,196,199 | 16,317,437 | 310,031,303 |
| -1 | -19 | -97 | -149 | -1,129 | -1,843 | -2,831 | -14,453 | -21,451 | -109,513 | -168,221 | -274,607 | -2,080,747 | -3,196,199 | -16,317,437 | -310,031,303 |
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