A:
Positive:
1 x 3124122111 x 284011141 x 76198153 x 589457451 x 69271583 x 535871307 x 239032173 x 14377
Negative:
-1 x -31241221-11 x -2840111-41 x -761981-53 x -589457-451 x -69271-583 x -53587-1307 x -23903-2173 x -14377
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 31,241,221, 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 | 31,241,221 | |
| -1 | -31,241,221 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,241,221.
Example:
1 x 31,241,221 = 31,241,221
and
-1 x -31,241,221 = 31,241,221
Notice both answers equal 31,241,221
With that explanation out of the way, let's continue. Next, we take the number 31,241,221 and divide it by 2:
31,241,221 ÷ 2 = 15,620,610.5
If the quotient is a whole number, then 2 and 15,620,610.5 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 | 31,241,221 | |
| -1 | -31,241,221 |
Now, we try dividing 31,241,221 by 3:
31,241,221 ÷ 3 = 10,413,740.3333
If the quotient is a whole number, then 3 and 10,413,740.3333 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 | 31,241,221 | |
| -1 | -31,241,221 |
Let's try dividing by 4:
31,241,221 ÷ 4 = 7,810,305.25
If the quotient is a whole number, then 4 and 7,810,305.25 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 | 31,241,221 | |
| -1 | 31,241,221 |
If you did it right, you will end up with this table:
| 1 | 11 | 41 | 53 | 451 | 583 | 1,307 | 2,173 | 14,377 | 23,903 | 53,587 | 69,271 | 589,457 | 761,981 | 2,840,111 | 31,241,221 |
| -1 | -11 | -41 | -53 | -451 | -583 | -1,307 | -2,173 | -14,377 | -23,903 | -53,587 | -69,271 | -589,457 | -761,981 | -2,840,111 | -31,241,221 |
Here are some more numbers to try:
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