A:
Positive:
1 x 31112422119 x 1637495943 x 7235447107 x 2907703817 x 3808132033 x 1530373559 x 874194601 x 67621
Negative:
-1 x -311124221-19 x -16374959-43 x -7235447-107 x -2907703-817 x -380813-2033 x -153037-3559 x -87419-4601 x -67621
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 311,124,221, 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 | 311,124,221 | |
| -1 | -311,124,221 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 311,124,221.
Example:
1 x 311,124,221 = 311,124,221
and
-1 x -311,124,221 = 311,124,221
Notice both answers equal 311,124,221
With that explanation out of the way, let's continue. Next, we take the number 311,124,221 and divide it by 2:
311,124,221 ÷ 2 = 155,562,110.5
If the quotient is a whole number, then 2 and 155,562,110.5 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 | 311,124,221 | |
| -1 | -311,124,221 |
Now, we try dividing 311,124,221 by 3:
311,124,221 ÷ 3 = 103,708,073.6667
If the quotient is a whole number, then 3 and 103,708,073.6667 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 | 311,124,221 | |
| -1 | -311,124,221 |
Let's try dividing by 4:
311,124,221 ÷ 4 = 77,781,055.25
If the quotient is a whole number, then 4 and 77,781,055.25 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 | 311,124,221 | |
| -1 | 311,124,221 |
If you did it right, you will end up with this table:
| 1 | 19 | 43 | 107 | 817 | 2,033 | 3,559 | 4,601 | 67,621 | 87,419 | 153,037 | 380,813 | 2,907,703 | 7,235,447 | 16,374,959 | 311,124,221 |
| -1 | -19 | -43 | -107 | -817 | -2,033 | -3,559 | -4,601 | -67,621 | -87,419 | -153,037 | -380,813 | -2,907,703 | -7,235,447 | -16,374,959 | -311,124,221 |
Here are some more numbers to try:
Try the factor calculator