A:
Positive:
1 x 311555097 x 445078711 x 283231917 x 183267777 x 404617119 x 261811187 x 1666071309 x 23801
Negative:
-1 x -31155509-7 x -4450787-11 x -2832319-17 x -1832677-77 x -404617-119 x -261811-187 x -166607-1309 x -23801
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 31,155,509, 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 | 31,155,509 | |
| -1 | -31,155,509 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,155,509.
Example:
1 x 31,155,509 = 31,155,509
and
-1 x -31,155,509 = 31,155,509
Notice both answers equal 31,155,509
With that explanation out of the way, let's continue. Next, we take the number 31,155,509 and divide it by 2:
31,155,509 ÷ 2 = 15,577,754.5
If the quotient is a whole number, then 2 and 15,577,754.5 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 | 31,155,509 | |
| -1 | -31,155,509 |
Now, we try dividing 31,155,509 by 3:
31,155,509 ÷ 3 = 10,385,169.6667
If the quotient is a whole number, then 3 and 10,385,169.6667 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 | 31,155,509 | |
| -1 | -31,155,509 |
Let's try dividing by 4:
31,155,509 ÷ 4 = 7,788,877.25
If the quotient is a whole number, then 4 and 7,788,877.25 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 | 31,155,509 | |
| -1 | 31,155,509 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 17 | 77 | 119 | 187 | 1,309 | 23,801 | 166,607 | 261,811 | 404,617 | 1,832,677 | 2,832,319 | 4,450,787 | 31,155,509 |
| -1 | -7 | -11 | -17 | -77 | -119 | -187 | -1,309 | -23,801 | -166,607 | -261,811 | -404,617 | -1,832,677 | -2,832,319 | -4,450,787 | -31,155,509 |
Here are some more numbers to try:
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