A:
Positive:
1 x 23132121111 x 2102920161 x 3792151103 x 2245837671 x 3447411133 x 2041673347 x 691136283 x 36817
Negative:
-1 x -231321211-11 x -21029201-61 x -3792151-103 x -2245837-671 x -344741-1133 x -204167-3347 x -69113-6283 x -36817
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 231,321,211, 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 | 231,321,211 | |
| -1 | -231,321,211 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 231,321,211.
Example:
1 x 231,321,211 = 231,321,211
and
-1 x -231,321,211 = 231,321,211
Notice both answers equal 231,321,211
With that explanation out of the way, let's continue. Next, we take the number 231,321,211 and divide it by 2:
231,321,211 ÷ 2 = 115,660,605.5
If the quotient is a whole number, then 2 and 115,660,605.5 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 | 231,321,211 | |
| -1 | -231,321,211 |
Now, we try dividing 231,321,211 by 3:
231,321,211 ÷ 3 = 77,107,070.3333
If the quotient is a whole number, then 3 and 77,107,070.3333 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 | 231,321,211 | |
| -1 | -231,321,211 |
Let's try dividing by 4:
231,321,211 ÷ 4 = 57,830,302.75
If the quotient is a whole number, then 4 and 57,830,302.75 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 | 231,321,211 | |
| -1 | 231,321,211 |
If you did it right, you will end up with this table:
| 1 | 11 | 61 | 103 | 671 | 1,133 | 3,347 | 6,283 | 36,817 | 69,113 | 204,167 | 344,741 | 2,245,837 | 3,792,151 | 21,029,201 | 231,321,211 |
| -1 | -11 | -61 | -103 | -671 | -1,133 | -3,347 | -6,283 | -36,817 | -69,113 | -204,167 | -344,741 | -2,245,837 | -3,792,151 | -21,029,201 | -231,321,211 |
Here are some more numbers to try:
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