A:
Positive:
1 x 23114412113 x 1778031717 x 1359671371 x 3255551221 x 1045901923 x 2504271207 x 19150314731 x 15691
Negative:
-1 x -231144121-13 x -17780317-17 x -13596713-71 x -3255551-221 x -1045901-923 x -250427-1207 x -191503-14731 x -15691
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 231,144,121, 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 | 231,144,121 | |
| -1 | -231,144,121 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 231,144,121.
Example:
1 x 231,144,121 = 231,144,121
and
-1 x -231,144,121 = 231,144,121
Notice both answers equal 231,144,121
With that explanation out of the way, let's continue. Next, we take the number 231,144,121 and divide it by 2:
231,144,121 ÷ 2 = 115,572,060.5
If the quotient is a whole number, then 2 and 115,572,060.5 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 | 231,144,121 | |
| -1 | -231,144,121 |
Now, we try dividing 231,144,121 by 3:
231,144,121 ÷ 3 = 77,048,040.3333
If the quotient is a whole number, then 3 and 77,048,040.3333 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 | 231,144,121 | |
| -1 | -231,144,121 |
Let's try dividing by 4:
231,144,121 ÷ 4 = 57,786,030.25
If the quotient is a whole number, then 4 and 57,786,030.25 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 | 231,144,121 | |
| -1 | 231,144,121 |
If you did it right, you will end up with this table:
| 1 | 13 | 17 | 71 | 221 | 923 | 1,207 | 14,731 | 15,691 | 191,503 | 250,427 | 1,045,901 | 3,255,551 | 13,596,713 | 17,780,317 | 231,144,121 |
| -1 | -13 | -17 | -71 | -221 | -923 | -1,207 | -14,731 | -15,691 | -191,503 | -250,427 | -1,045,901 | -3,255,551 | -13,596,713 | -17,780,317 | -231,144,121 |
Here are some more numbers to try:
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