A:
Positive:
1 x 31310517 x 44729311 x 28464137 x 8462349 x 6389977 x 40663157 x 19943259 x 12089407 x 7693539 x 58091099 x 28491727 x 1813
Negative:
-1 x -3131051-7 x -447293-11 x -284641-37 x -84623-49 x -63899-77 x -40663-157 x -19943-259 x -12089-407 x -7693-539 x -5809-1099 x -2849-1727 x -1813
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 3,131,051, 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 | 3,131,051 | |
| -1 | -3,131,051 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 3,131,051.
Example:
1 x 3,131,051 = 3,131,051
and
-1 x -3,131,051 = 3,131,051
Notice both answers equal 3,131,051
With that explanation out of the way, let's continue. Next, we take the number 3,131,051 and divide it by 2:
3,131,051 ÷ 2 = 1,565,525.5
If the quotient is a whole number, then 2 and 1,565,525.5 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 | 3,131,051 | |
| -1 | -3,131,051 |
Now, we try dividing 3,131,051 by 3:
3,131,051 ÷ 3 = 1,043,683.6667
If the quotient is a whole number, then 3 and 1,043,683.6667 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 | 3,131,051 | |
| -1 | -3,131,051 |
Let's try dividing by 4:
3,131,051 ÷ 4 = 782,762.75
If the quotient is a whole number, then 4 and 782,762.75 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 | 3,131,051 | |
| -1 | 3,131,051 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 37 | 49 | 77 | 157 | 259 | 407 | 539 | 1,099 | 1,727 | 1,813 | 2,849 | 5,809 | 7,693 | 12,089 | 19,943 | 40,663 | 63,899 | 84,623 | 284,641 | 447,293 | 3,131,051 |
| -1 | -7 | -11 | -37 | -49 | -77 | -157 | -259 | -407 | -539 | -1,099 | -1,727 | -1,813 | -2,849 | -5,809 | -7,693 | -12,089 | -19,943 | -40,663 | -63,899 | -84,623 | -284,641 | -447,293 | -3,131,051 |
Here are some more numbers to try:
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