A:
Positive:
1 x 310043237 x 442918941 x 75620359 x 525497287 x 108029413 x 750711831 x 169332419 x 12817
Negative:
-1 x -31004323-7 x -4429189-41 x -756203-59 x -525497-287 x -108029-413 x -75071-1831 x -16933-2419 x -12817
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 31,004,323, 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 | 31,004,323 | |
| -1 | -31,004,323 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,004,323.
Example:
1 x 31,004,323 = 31,004,323
and
-1 x -31,004,323 = 31,004,323
Notice both answers equal 31,004,323
With that explanation out of the way, let's continue. Next, we take the number 31,004,323 and divide it by 2:
31,004,323 ÷ 2 = 15,502,161.5
If the quotient is a whole number, then 2 and 15,502,161.5 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 | 31,004,323 | |
| -1 | -31,004,323 |
Now, we try dividing 31,004,323 by 3:
31,004,323 ÷ 3 = 10,334,774.3333
If the quotient is a whole number, then 3 and 10,334,774.3333 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 | 31,004,323 | |
| -1 | -31,004,323 |
Let's try dividing by 4:
31,004,323 ÷ 4 = 7,751,080.75
If the quotient is a whole number, then 4 and 7,751,080.75 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 | 31,004,323 | |
| -1 | 31,004,323 |
If you did it right, you will end up with this table:
| 1 | 7 | 41 | 59 | 287 | 413 | 1,831 | 2,419 | 12,817 | 16,933 | 75,071 | 108,029 | 525,497 | 756,203 | 4,429,189 | 31,004,323 |
| -1 | -7 | -41 | -59 | -287 | -413 | -1,831 | -2,419 | -12,817 | -16,933 | -75,071 | -108,029 | -525,497 | -756,203 | -4,429,189 | -31,004,323 |
Here are some more numbers to try:
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