A:
Positive:
1 x 3100431113 x 238494717 x 182378353 x 584987221 x 140291689 x 44999901 x 344112647 x 11713
Negative:
-1 x -31004311-13 x -2384947-17 x -1823783-53 x -584987-221 x -140291-689 x -44999-901 x -34411-2647 x -11713
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 31,004,311, 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 | 31,004,311 | |
| -1 | -31,004,311 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,004,311.
Example:
1 x 31,004,311 = 31,004,311
and
-1 x -31,004,311 = 31,004,311
Notice both answers equal 31,004,311
With that explanation out of the way, let's continue. Next, we take the number 31,004,311 and divide it by 2:
31,004,311 ÷ 2 = 15,502,155.5
If the quotient is a whole number, then 2 and 15,502,155.5 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 | 31,004,311 | |
| -1 | -31,004,311 |
Now, we try dividing 31,004,311 by 3:
31,004,311 ÷ 3 = 10,334,770.3333
If the quotient is a whole number, then 3 and 10,334,770.3333 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 | 31,004,311 | |
| -1 | -31,004,311 |
Let's try dividing by 4:
31,004,311 ÷ 4 = 7,751,077.75
If the quotient is a whole number, then 4 and 7,751,077.75 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 | 31,004,311 | |
| -1 | 31,004,311 |
If you did it right, you will end up with this table:
| 1 | 13 | 17 | 53 | 221 | 689 | 901 | 2,647 | 11,713 | 34,411 | 44,999 | 140,291 | 584,987 | 1,823,783 | 2,384,947 | 31,004,311 |
| -1 | -13 | -17 | -53 | -221 | -689 | -901 | -2,647 | -11,713 | -34,411 | -44,999 | -140,291 | -584,987 | -1,823,783 | -2,384,947 | -31,004,311 |
Here are some more numbers to try:
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