A:
Positive:
1 x 30550000931 x 985483937 x 825675783 x 36807231147 x 2663472573 x 1187333071 x 994793209 x 95201
Negative:
-1 x -305500009-31 x -9854839-37 x -8256757-83 x -3680723-1147 x -266347-2573 x -118733-3071 x -99479-3209 x -95201
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 305,500,009, 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 | 305,500,009 | |
| -1 | -305,500,009 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 305,500,009.
Example:
1 x 305,500,009 = 305,500,009
and
-1 x -305,500,009 = 305,500,009
Notice both answers equal 305,500,009
With that explanation out of the way, let's continue. Next, we take the number 305,500,009 and divide it by 2:
305,500,009 ÷ 2 = 152,750,004.5
If the quotient is a whole number, then 2 and 152,750,004.5 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 | 305,500,009 | |
| -1 | -305,500,009 |
Now, we try dividing 305,500,009 by 3:
305,500,009 ÷ 3 = 101,833,336.3333
If the quotient is a whole number, then 3 and 101,833,336.3333 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 | 305,500,009 | |
| -1 | -305,500,009 |
Let's try dividing by 4:
305,500,009 ÷ 4 = 76,375,002.25
If the quotient is a whole number, then 4 and 76,375,002.25 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 | 305,500,009 | |
| -1 | 305,500,009 |
If you did it right, you will end up with this table:
| 1 | 31 | 37 | 83 | 1,147 | 2,573 | 3,071 | 3,209 | 95,201 | 99,479 | 118,733 | 266,347 | 3,680,723 | 8,256,757 | 9,854,839 | 305,500,009 |
| -1 | -31 | -37 | -83 | -1,147 | -2,573 | -3,071 | -3,209 | -95,201 | -99,479 | -118,733 | -266,347 | -3,680,723 | -8,256,757 | -9,854,839 | -305,500,009 |
Here are some more numbers to try:
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