A:
Positive:
1 x 232131255 x 464262513 x 178562525 x 92852565 x 357125125 x 185705325 x 71425625 x 371411625 x 142852857 x 8125
Negative:
-1 x -23213125-5 x -4642625-13 x -1785625-25 x -928525-65 x -357125-125 x -185705-325 x -71425-625 x -37141-1625 x -14285-2857 x -8125
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 23,213,125, 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 | 23,213,125 | |
| -1 | -23,213,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 23,213,125.
Example:
1 x 23,213,125 = 23,213,125
and
-1 x -23,213,125 = 23,213,125
Notice both answers equal 23,213,125
With that explanation out of the way, let's continue. Next, we take the number 23,213,125 and divide it by 2:
23,213,125 ÷ 2 = 11,606,562.5
If the quotient is a whole number, then 2 and 11,606,562.5 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 | 23,213,125 | |
| -1 | -23,213,125 |
Now, we try dividing 23,213,125 by 3:
23,213,125 ÷ 3 = 7,737,708.3333
If the quotient is a whole number, then 3 and 7,737,708.3333 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 | 23,213,125 | |
| -1 | -23,213,125 |
Let's try dividing by 4:
23,213,125 ÷ 4 = 5,803,281.25
If the quotient is a whole number, then 4 and 5,803,281.25 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 | 23,213,125 | |
| -1 | 23,213,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 65 | 125 | 325 | 625 | 1,625 | 2,857 | 8,125 | 14,285 | 37,141 | 71,425 | 185,705 | 357,125 | 928,525 | 1,785,625 | 4,642,625 | 23,213,125 |
| -1 | -5 | -13 | -25 | -65 | -125 | -325 | -625 | -1,625 | -2,857 | -8,125 | -14,285 | -37,141 | -71,425 | -185,705 | -357,125 | -928,525 | -1,785,625 | -4,642,625 | -23,213,125 |
Here are some more numbers to try:
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