A:
Positive:
1 x 311403055 x 62280617 x 444861535 x 889723773 x 402851151 x 270553865 x 80575411 x 5755
Negative:
-1 x -31140305-5 x -6228061-7 x -4448615-35 x -889723-773 x -40285-1151 x -27055-3865 x -8057-5411 x -5755
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 31,140,305, 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 | 31,140,305 | |
| -1 | -31,140,305 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,140,305.
Example:
1 x 31,140,305 = 31,140,305
and
-1 x -31,140,305 = 31,140,305
Notice both answers equal 31,140,305
With that explanation out of the way, let's continue. Next, we take the number 31,140,305 and divide it by 2:
31,140,305 ÷ 2 = 15,570,152.5
If the quotient is a whole number, then 2 and 15,570,152.5 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 | 31,140,305 | |
| -1 | -31,140,305 |
Now, we try dividing 31,140,305 by 3:
31,140,305 ÷ 3 = 10,380,101.6667
If the quotient is a whole number, then 3 and 10,380,101.6667 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 | 31,140,305 | |
| -1 | -31,140,305 |
Let's try dividing by 4:
31,140,305 ÷ 4 = 7,785,076.25
If the quotient is a whole number, then 4 and 7,785,076.25 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 | 31,140,305 | |
| -1 | 31,140,305 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 773 | 1,151 | 3,865 | 5,411 | 5,755 | 8,057 | 27,055 | 40,285 | 889,723 | 4,448,615 | 6,228,061 | 31,140,305 |
| -1 | -5 | -7 | -35 | -773 | -1,151 | -3,865 | -5,411 | -5,755 | -8,057 | -27,055 | -40,285 | -889,723 | -4,448,615 | -6,228,061 | -31,140,305 |
Here are some more numbers to try:
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