A:
Positive:
1 x 31270566717 x 1839445119 x 16458193323 x 968129743 x 4208691303 x 23998912631 x 2475714117 x 22151
Negative:
-1 x -312705667-17 x -18394451-19 x -16458193-323 x -968129-743 x -420869-1303 x -239989-12631 x -24757-14117 x -22151
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 312,705,667, 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 | 312,705,667 | |
| -1 | -312,705,667 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,705,667.
Example:
1 x 312,705,667 = 312,705,667
and
-1 x -312,705,667 = 312,705,667
Notice both answers equal 312,705,667
With that explanation out of the way, let's continue. Next, we take the number 312,705,667 and divide it by 2:
312,705,667 ÷ 2 = 156,352,833.5
If the quotient is a whole number, then 2 and 156,352,833.5 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 | 312,705,667 | |
| -1 | -312,705,667 |
Now, we try dividing 312,705,667 by 3:
312,705,667 ÷ 3 = 104,235,222.3333
If the quotient is a whole number, then 3 and 104,235,222.3333 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 | 312,705,667 | |
| -1 | -312,705,667 |
Let's try dividing by 4:
312,705,667 ÷ 4 = 78,176,416.75
If the quotient is a whole number, then 4 and 78,176,416.75 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 | 312,705,667 | |
| -1 | 312,705,667 |
If you did it right, you will end up with this table:
| 1 | 17 | 19 | 323 | 743 | 1,303 | 12,631 | 14,117 | 22,151 | 24,757 | 239,989 | 420,869 | 968,129 | 16,458,193 | 18,394,451 | 312,705,667 |
| -1 | -17 | -19 | -323 | -743 | -1,303 | -12,631 | -14,117 | -22,151 | -24,757 | -239,989 | -420,869 | -968,129 | -16,458,193 | -18,394,451 | -312,705,667 |
Here are some more numbers to try:
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