A:
Positive:
1 x 23112131911 x 2101102913 x 1777856323 x 10048753143 x 1616233253 x 913523299 x 7729813289 x 70271
Negative:
-1 x -231121319-11 x -21011029-13 x -17778563-23 x -10048753-143 x -1616233-253 x -913523-299 x -772981-3289 x -70271
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 231,121,319, 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 | 231,121,319 | |
| -1 | -231,121,319 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 231,121,319.
Example:
1 x 231,121,319 = 231,121,319
and
-1 x -231,121,319 = 231,121,319
Notice both answers equal 231,121,319
With that explanation out of the way, let's continue. Next, we take the number 231,121,319 and divide it by 2:
231,121,319 ÷ 2 = 115,560,659.5
If the quotient is a whole number, then 2 and 115,560,659.5 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 | 231,121,319 | |
| -1 | -231,121,319 |
Now, we try dividing 231,121,319 by 3:
231,121,319 ÷ 3 = 77,040,439.6667
If the quotient is a whole number, then 3 and 77,040,439.6667 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 | 231,121,319 | |
| -1 | -231,121,319 |
Let's try dividing by 4:
231,121,319 ÷ 4 = 57,780,329.75
If the quotient is a whole number, then 4 and 57,780,329.75 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 | 231,121,319 | |
| -1 | 231,121,319 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 23 | 143 | 253 | 299 | 3,289 | 70,271 | 772,981 | 913,523 | 1,616,233 | 10,048,753 | 17,778,563 | 21,011,029 | 231,121,319 |
| -1 | -11 | -13 | -23 | -143 | -253 | -299 | -3,289 | -70,271 | -772,981 | -913,523 | -1,616,233 | -10,048,753 | -17,778,563 | -21,011,029 | -231,121,319 |
Here are some more numbers to try:
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