A:
Positive:
1 x 3071111455 x 6142222911 x 2791919555 x 5583839257 x 11949851285 x 2389972827 x 10863514135 x 21727
Negative:
-1 x -307111145-5 x -61422229-11 x -27919195-55 x -5583839-257 x -1194985-1285 x -238997-2827 x -108635-14135 x -21727
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 307,111,145, 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 | 307,111,145 | |
| -1 | -307,111,145 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 307,111,145.
Example:
1 x 307,111,145 = 307,111,145
and
-1 x -307,111,145 = 307,111,145
Notice both answers equal 307,111,145
With that explanation out of the way, let's continue. Next, we take the number 307,111,145 and divide it by 2:
307,111,145 ÷ 2 = 153,555,572.5
If the quotient is a whole number, then 2 and 153,555,572.5 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 | 307,111,145 | |
| -1 | -307,111,145 |
Now, we try dividing 307,111,145 by 3:
307,111,145 ÷ 3 = 102,370,381.6667
If the quotient is a whole number, then 3 and 102,370,381.6667 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 | 307,111,145 | |
| -1 | -307,111,145 |
Let's try dividing by 4:
307,111,145 ÷ 4 = 76,777,786.25
If the quotient is a whole number, then 4 and 76,777,786.25 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 | 307,111,145 | |
| -1 | 307,111,145 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 257 | 1,285 | 2,827 | 14,135 | 21,727 | 108,635 | 238,997 | 1,194,985 | 5,583,839 | 27,919,195 | 61,422,229 | 307,111,145 |
| -1 | -5 | -11 | -55 | -257 | -1,285 | -2,827 | -14,135 | -21,727 | -108,635 | -238,997 | -1,194,985 | -5,583,839 | -27,919,195 | -61,422,229 | -307,111,145 |
Here are some more numbers to try:
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