A:
Positive:
1 x 312054055 x 62410817 x 445791511 x 283685535 x 89158349 x 63684555 x 56737177 x 405265245 x 127369385 x 81053539 x 578952695 x 11579
Negative:
-1 x -31205405-5 x -6241081-7 x -4457915-11 x -2836855-35 x -891583-49 x -636845-55 x -567371-77 x -405265-245 x -127369-385 x -81053-539 x -57895-2695 x -11579
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 31,205,405, 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 | 31,205,405 | |
| -1 | -31,205,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,205,405.
Example:
1 x 31,205,405 = 31,205,405
and
-1 x -31,205,405 = 31,205,405
Notice both answers equal 31,205,405
With that explanation out of the way, let's continue. Next, we take the number 31,205,405 and divide it by 2:
31,205,405 ÷ 2 = 15,602,702.5
If the quotient is a whole number, then 2 and 15,602,702.5 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 | 31,205,405 | |
| -1 | -31,205,405 |
Now, we try dividing 31,205,405 by 3:
31,205,405 ÷ 3 = 10,401,801.6667
If the quotient is a whole number, then 3 and 10,401,801.6667 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 | 31,205,405 | |
| -1 | -31,205,405 |
Let's try dividing by 4:
31,205,405 ÷ 4 = 7,801,351.25
If the quotient is a whole number, then 4 and 7,801,351.25 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 | 31,205,405 | |
| -1 | 31,205,405 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 11 | 35 | 49 | 55 | 77 | 245 | 385 | 539 | 2,695 | 11,579 | 57,895 | 81,053 | 127,369 | 405,265 | 567,371 | 636,845 | 891,583 | 2,836,855 | 4,457,915 | 6,241,081 | 31,205,405 |
| -1 | -5 | -7 | -11 | -35 | -49 | -55 | -77 | -245 | -385 | -539 | -2,695 | -11,579 | -57,895 | -81,053 | -127,369 | -405,265 | -567,371 | -636,845 | -891,583 | -2,836,855 | -4,457,915 | -6,241,081 | -31,205,405 |
Here are some more numbers to try:
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