A:
Positive:
1 x 310404255 x 620808513 x 238772525 x 124161765 x 477545149 x 208325325 x 95509641 x 48425745 x 416651937 x 160253205 x 96853725 x 8333
Negative:
-1 x -31040425-5 x -6208085-13 x -2387725-25 x -1241617-65 x -477545-149 x -208325-325 x -95509-641 x -48425-745 x -41665-1937 x -16025-3205 x -9685-3725 x -8333
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 31,040,425, 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 | 31,040,425 | |
| -1 | -31,040,425 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,040,425.
Example:
1 x 31,040,425 = 31,040,425
and
-1 x -31,040,425 = 31,040,425
Notice both answers equal 31,040,425
With that explanation out of the way, let's continue. Next, we take the number 31,040,425 and divide it by 2:
31,040,425 ÷ 2 = 15,520,212.5
If the quotient is a whole number, then 2 and 15,520,212.5 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 | 31,040,425 | |
| -1 | -31,040,425 |
Now, we try dividing 31,040,425 by 3:
31,040,425 ÷ 3 = 10,346,808.3333
If the quotient is a whole number, then 3 and 10,346,808.3333 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 | 31,040,425 | |
| -1 | -31,040,425 |
Let's try dividing by 4:
31,040,425 ÷ 4 = 7,760,106.25
If the quotient is a whole number, then 4 and 7,760,106.25 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 | 31,040,425 | |
| -1 | 31,040,425 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 65 | 149 | 325 | 641 | 745 | 1,937 | 3,205 | 3,725 | 8,333 | 9,685 | 16,025 | 41,665 | 48,425 | 95,509 | 208,325 | 477,545 | 1,241,617 | 2,387,725 | 6,208,085 | 31,040,425 |
| -1 | -5 | -13 | -25 | -65 | -149 | -325 | -641 | -745 | -1,937 | -3,205 | -3,725 | -8,333 | -9,685 | -16,025 | -41,665 | -48,425 | -95,509 | -208,325 | -477,545 | -1,241,617 | -2,387,725 | -6,208,085 | -31,040,425 |
Here are some more numbers to try:
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