A:
Positive:
1 x 311717755 x 623435525 x 124687143 x 724925107 x 291325215 x 144985271 x 115025535 x 582651075 x 289971355 x 230052675 x 116534601 x 6775
Negative:
-1 x -31171775-5 x -6234355-25 x -1246871-43 x -724925-107 x -291325-215 x -144985-271 x -115025-535 x -58265-1075 x -28997-1355 x -23005-2675 x -11653-4601 x -6775
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 31,171,775, 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 | 31,171,775 | |
| -1 | -31,171,775 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,171,775.
Example:
1 x 31,171,775 = 31,171,775
and
-1 x -31,171,775 = 31,171,775
Notice both answers equal 31,171,775
With that explanation out of the way, let's continue. Next, we take the number 31,171,775 and divide it by 2:
31,171,775 ÷ 2 = 15,585,887.5
If the quotient is a whole number, then 2 and 15,585,887.5 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 | 31,171,775 | |
| -1 | -31,171,775 |
Now, we try dividing 31,171,775 by 3:
31,171,775 ÷ 3 = 10,390,591.6667
If the quotient is a whole number, then 3 and 10,390,591.6667 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 | 31,171,775 | |
| -1 | -31,171,775 |
Let's try dividing by 4:
31,171,775 ÷ 4 = 7,792,943.75
If the quotient is a whole number, then 4 and 7,792,943.75 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 | 31,171,775 | |
| -1 | 31,171,775 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 43 | 107 | 215 | 271 | 535 | 1,075 | 1,355 | 2,675 | 4,601 | 6,775 | 11,653 | 23,005 | 28,997 | 58,265 | 115,025 | 144,985 | 291,325 | 724,925 | 1,246,871 | 6,234,355 | 31,171,775 |
| -1 | -5 | -25 | -43 | -107 | -215 | -271 | -535 | -1,075 | -1,355 | -2,675 | -4,601 | -6,775 | -11,653 | -23,005 | -28,997 | -58,265 | -115,025 | -144,985 | -291,325 | -724,925 | -1,246,871 | -6,234,355 | -31,171,775 |
Here are some more numbers to try:
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