A:
Positive:
1 x 2213301255 x 4426602525 x 8853205125 x 1770641313 x 7071251565 x 1414255657 x 391257825 x 28285
Negative:
-1 x -221330125-5 x -44266025-25 x -8853205-125 x -1770641-313 x -707125-1565 x -141425-5657 x -39125-7825 x -28285
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 221,330,125, 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 | 221,330,125 | |
| -1 | -221,330,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 221,330,125.
Example:
1 x 221,330,125 = 221,330,125
and
-1 x -221,330,125 = 221,330,125
Notice both answers equal 221,330,125
With that explanation out of the way, let's continue. Next, we take the number 221,330,125 and divide it by 2:
221,330,125 ÷ 2 = 110,665,062.5
If the quotient is a whole number, then 2 and 110,665,062.5 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 | 221,330,125 | |
| -1 | -221,330,125 |
Now, we try dividing 221,330,125 by 3:
221,330,125 ÷ 3 = 73,776,708.3333
If the quotient is a whole number, then 3 and 73,776,708.3333 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 | 221,330,125 | |
| -1 | -221,330,125 |
Let's try dividing by 4:
221,330,125 ÷ 4 = 55,332,531.25
If the quotient is a whole number, then 4 and 55,332,531.25 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 | 221,330,125 | |
| -1 | 221,330,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 125 | 313 | 1,565 | 5,657 | 7,825 | 28,285 | 39,125 | 141,425 | 707,125 | 1,770,641 | 8,853,205 | 44,266,025 | 221,330,125 |
| -1 | -5 | -25 | -125 | -313 | -1,565 | -5,657 | -7,825 | -28,285 | -39,125 | -141,425 | -707,125 | -1,770,641 | -8,853,205 | -44,266,025 | -221,330,125 |
Here are some more numbers to try:
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