A:
Positive:
1 x 31240765717 x 1837692161 x 5121437419 x 745603719 x 4345031037 x 3012617123 x 4385912223 x 25559
Negative:
-1 x -312407657-17 x -18376921-61 x -5121437-419 x -745603-719 x -434503-1037 x -301261-7123 x -43859-12223 x -25559
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 312,407,657, 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 | 312,407,657 | |
| -1 | -312,407,657 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,407,657.
Example:
1 x 312,407,657 = 312,407,657
and
-1 x -312,407,657 = 312,407,657
Notice both answers equal 312,407,657
With that explanation out of the way, let's continue. Next, we take the number 312,407,657 and divide it by 2:
312,407,657 ÷ 2 = 156,203,828.5
If the quotient is a whole number, then 2 and 156,203,828.5 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 | 312,407,657 | |
| -1 | -312,407,657 |
Now, we try dividing 312,407,657 by 3:
312,407,657 ÷ 3 = 104,135,885.6667
If the quotient is a whole number, then 3 and 104,135,885.6667 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 | 312,407,657 | |
| -1 | -312,407,657 |
Let's try dividing by 4:
312,407,657 ÷ 4 = 78,101,914.25
If the quotient is a whole number, then 4 and 78,101,914.25 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 | 312,407,657 | |
| -1 | 312,407,657 |
If you did it right, you will end up with this table:
| 1 | 17 | 61 | 419 | 719 | 1,037 | 7,123 | 12,223 | 25,559 | 43,859 | 301,261 | 434,503 | 745,603 | 5,121,437 | 18,376,921 | 312,407,657 |
| -1 | -17 | -61 | -419 | -719 | -1,037 | -7,123 | -12,223 | -25,559 | -43,859 | -301,261 | -434,503 | -745,603 | -5,121,437 | -18,376,921 | -312,407,657 |
Here are some more numbers to try:
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