A:
Positive:
1 x 3132100923 x 136178397 x 322897101 x 310109139 x 2253312231 x 140392323 x 134833197 x 9797
Negative:
-1 x -31321009-23 x -1361783-97 x -322897-101 x -310109-139 x -225331-2231 x -14039-2323 x -13483-3197 x -9797
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 31,321,009, 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 | 31,321,009 | |
| -1 | -31,321,009 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,321,009.
Example:
1 x 31,321,009 = 31,321,009
and
-1 x -31,321,009 = 31,321,009
Notice both answers equal 31,321,009
With that explanation out of the way, let's continue. Next, we take the number 31,321,009 and divide it by 2:
31,321,009 ÷ 2 = 15,660,504.5
If the quotient is a whole number, then 2 and 15,660,504.5 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 | 31,321,009 | |
| -1 | -31,321,009 |
Now, we try dividing 31,321,009 by 3:
31,321,009 ÷ 3 = 10,440,336.3333
If the quotient is a whole number, then 3 and 10,440,336.3333 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 | 31,321,009 | |
| -1 | -31,321,009 |
Let's try dividing by 4:
31,321,009 ÷ 4 = 7,830,252.25
If the quotient is a whole number, then 4 and 7,830,252.25 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 | 31,321,009 | |
| -1 | 31,321,009 |
If you did it right, you will end up with this table:
| 1 | 23 | 97 | 101 | 139 | 2,231 | 2,323 | 3,197 | 9,797 | 13,483 | 14,039 | 225,331 | 310,109 | 322,897 | 1,361,783 | 31,321,009 |
| -1 | -23 | -97 | -101 | -139 | -2,231 | -2,323 | -3,197 | -9,797 | -13,483 | -14,039 | -225,331 | -310,109 | -322,897 | -1,361,783 | -31,321,009 |
Here are some more numbers to try:
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