A:
Positive:
1 x 232113055 x 464226113 x 178548565 x 357097169 x 137345845 x 274692113 x 109852197 x 10565
Negative:
-1 x -23211305-5 x -4642261-13 x -1785485-65 x -357097-169 x -137345-845 x -27469-2113 x -10985-2197 x -10565
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 23,211,305, 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 | 23,211,305 | |
| -1 | -23,211,305 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 23,211,305.
Example:
1 x 23,211,305 = 23,211,305
and
-1 x -23,211,305 = 23,211,305
Notice both answers equal 23,211,305
With that explanation out of the way, let's continue. Next, we take the number 23,211,305 and divide it by 2:
23,211,305 ÷ 2 = 11,605,652.5
If the quotient is a whole number, then 2 and 11,605,652.5 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 | 23,211,305 | |
| -1 | -23,211,305 |
Now, we try dividing 23,211,305 by 3:
23,211,305 ÷ 3 = 7,737,101.6667
If the quotient is a whole number, then 3 and 7,737,101.6667 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 | 23,211,305 | |
| -1 | -23,211,305 |
Let's try dividing by 4:
23,211,305 ÷ 4 = 5,802,826.25
If the quotient is a whole number, then 4 and 5,802,826.25 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 | 23,211,305 | |
| -1 | 23,211,305 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 169 | 845 | 2,113 | 2,197 | 10,565 | 10,985 | 27,469 | 137,345 | 357,097 | 1,785,485 | 4,642,261 | 23,211,305 |
| -1 | -5 | -13 | -65 | -169 | -845 | -2,113 | -2,197 | -10,565 | -10,985 | -27,469 | -137,345 | -357,097 | -1,785,485 | -4,642,261 | -23,211,305 |
Here are some more numbers to try:
Try the factor calculator