A:
Positive:
1 x 316187417 x 451696311 x 287443177 x 410633283 x 1117271451 x 217911981 x 159613113 x 10157
Negative:
-1 x -31618741-7 x -4516963-11 x -2874431-77 x -410633-283 x -111727-1451 x -21791-1981 x -15961-3113 x -10157
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 31,618,741, 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 | 31,618,741 | |
| -1 | -31,618,741 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,618,741.
Example:
1 x 31,618,741 = 31,618,741
and
-1 x -31,618,741 = 31,618,741
Notice both answers equal 31,618,741
With that explanation out of the way, let's continue. Next, we take the number 31,618,741 and divide it by 2:
31,618,741 ÷ 2 = 15,809,370.5
If the quotient is a whole number, then 2 and 15,809,370.5 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 | 31,618,741 | |
| -1 | -31,618,741 |
Now, we try dividing 31,618,741 by 3:
31,618,741 ÷ 3 = 10,539,580.3333
If the quotient is a whole number, then 3 and 10,539,580.3333 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 | 31,618,741 | |
| -1 | -31,618,741 |
Let's try dividing by 4:
31,618,741 ÷ 4 = 7,904,685.25
If the quotient is a whole number, then 4 and 7,904,685.25 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 | 31,618,741 | |
| -1 | 31,618,741 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 283 | 1,451 | 1,981 | 3,113 | 10,157 | 15,961 | 21,791 | 111,727 | 410,633 | 2,874,431 | 4,516,963 | 31,618,741 |
| -1 | -7 | -11 | -77 | -283 | -1,451 | -1,981 | -3,113 | -10,157 | -15,961 | -21,791 | -111,727 | -410,633 | -2,874,431 | -4,516,963 | -31,618,741 |
Here are some more numbers to try:
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