A:
Positive:
1 x 3132512911 x 284773919 x 164869171 x 441199209 x 149881781 x 401091349 x 232212111 x 14839
Negative:
-1 x -31325129-11 x -2847739-19 x -1648691-71 x -441199-209 x -149881-781 x -40109-1349 x -23221-2111 x -14839
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 31,325,129, 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 | 31,325,129 | |
| -1 | -31,325,129 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,325,129.
Example:
1 x 31,325,129 = 31,325,129
and
-1 x -31,325,129 = 31,325,129
Notice both answers equal 31,325,129
With that explanation out of the way, let's continue. Next, we take the number 31,325,129 and divide it by 2:
31,325,129 ÷ 2 = 15,662,564.5
If the quotient is a whole number, then 2 and 15,662,564.5 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 | 31,325,129 | |
| -1 | -31,325,129 |
Now, we try dividing 31,325,129 by 3:
31,325,129 ÷ 3 = 10,441,709.6667
If the quotient is a whole number, then 3 and 10,441,709.6667 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 | 31,325,129 | |
| -1 | -31,325,129 |
Let's try dividing by 4:
31,325,129 ÷ 4 = 7,831,282.25
If the quotient is a whole number, then 4 and 7,831,282.25 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 | 31,325,129 | |
| -1 | 31,325,129 |
If you did it right, you will end up with this table:
| 1 | 11 | 19 | 71 | 209 | 781 | 1,349 | 2,111 | 14,839 | 23,221 | 40,109 | 149,881 | 441,199 | 1,648,691 | 2,847,739 | 31,325,129 |
| -1 | -11 | -19 | -71 | -209 | -781 | -1,349 | -2,111 | -14,839 | -23,221 | -40,109 | -149,881 | -441,199 | -1,648,691 | -2,847,739 | -31,325,129 |
Here are some more numbers to try:
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