A:
Positive:
1 x 31242241317 x 1837778937 x 8443849127 x 2460019629 x 4966972159 x 1447073911 x 798834699 x 66487
Negative:
-1 x -312422413-17 x -18377789-37 x -8443849-127 x -2460019-629 x -496697-2159 x -144707-3911 x -79883-4699 x -66487
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 312,422,413, 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 | 312,422,413 | |
| -1 | -312,422,413 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,422,413.
Example:
1 x 312,422,413 = 312,422,413
and
-1 x -312,422,413 = 312,422,413
Notice both answers equal 312,422,413
With that explanation out of the way, let's continue. Next, we take the number 312,422,413 and divide it by 2:
312,422,413 ÷ 2 = 156,211,206.5
If the quotient is a whole number, then 2 and 156,211,206.5 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 | 312,422,413 | |
| -1 | -312,422,413 |
Now, we try dividing 312,422,413 by 3:
312,422,413 ÷ 3 = 104,140,804.3333
If the quotient is a whole number, then 3 and 104,140,804.3333 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 | 312,422,413 | |
| -1 | -312,422,413 |
Let's try dividing by 4:
312,422,413 ÷ 4 = 78,105,603.25
If the quotient is a whole number, then 4 and 78,105,603.25 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 | 312,422,413 | |
| -1 | 312,422,413 |
If you did it right, you will end up with this table:
| 1 | 17 | 37 | 127 | 629 | 2,159 | 3,911 | 4,699 | 66,487 | 79,883 | 144,707 | 496,697 | 2,460,019 | 8,443,849 | 18,377,789 | 312,422,413 |
| -1 | -17 | -37 | -127 | -629 | -2,159 | -3,911 | -4,699 | -66,487 | -79,883 | -144,707 | -496,697 | -2,460,019 | -8,443,849 | -18,377,789 | -312,422,413 |
Here are some more numbers to try:
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