A:
Positive:
1 x 315135177 x 450193129 x 108667349 x 64313367 x 470351203 x 155239331 x 95207469 x 671931421 x 221771943 x 162192317 x 136013283 x 9599
Negative:
-1 x -31513517-7 x -4501931-29 x -1086673-49 x -643133-67 x -470351-203 x -155239-331 x -95207-469 x -67193-1421 x -22177-1943 x -16219-2317 x -13601-3283 x -9599
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 31,513,517, 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 | 31,513,517 | |
| -1 | -31,513,517 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,513,517.
Example:
1 x 31,513,517 = 31,513,517
and
-1 x -31,513,517 = 31,513,517
Notice both answers equal 31,513,517
With that explanation out of the way, let's continue. Next, we take the number 31,513,517 and divide it by 2:
31,513,517 ÷ 2 = 15,756,758.5
If the quotient is a whole number, then 2 and 15,756,758.5 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 | 31,513,517 | |
| -1 | -31,513,517 |
Now, we try dividing 31,513,517 by 3:
31,513,517 ÷ 3 = 10,504,505.6667
If the quotient is a whole number, then 3 and 10,504,505.6667 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 | 31,513,517 | |
| -1 | -31,513,517 |
Let's try dividing by 4:
31,513,517 ÷ 4 = 7,878,379.25
If the quotient is a whole number, then 4 and 7,878,379.25 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 | 31,513,517 | |
| -1 | 31,513,517 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 49 | 67 | 203 | 331 | 469 | 1,421 | 1,943 | 2,317 | 3,283 | 9,599 | 13,601 | 16,219 | 22,177 | 67,193 | 95,207 | 155,239 | 470,351 | 643,133 | 1,086,673 | 4,501,931 | 31,513,517 |
| -1 | -7 | -29 | -49 | -67 | -203 | -331 | -469 | -1,421 | -1,943 | -2,317 | -3,283 | -9,599 | -13,601 | -16,219 | -22,177 | -67,193 | -95,207 | -155,239 | -470,351 | -643,133 | -1,086,673 | -4,501,931 | -31,513,517 |
Here are some more numbers to try:
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