A:
Positive:
1 x 2210022055 x 4420044119 x 1163169595 x 2326339593 x 3726852965 x 745373923 x 5633511267 x 19615
Negative:
-1 x -221002205-5 x -44200441-19 x -11631695-95 x -2326339-593 x -372685-2965 x -74537-3923 x -56335-11267 x -19615
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 221,002,205, 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 | 221,002,205 | |
| -1 | -221,002,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 221,002,205.
Example:
1 x 221,002,205 = 221,002,205
and
-1 x -221,002,205 = 221,002,205
Notice both answers equal 221,002,205
With that explanation out of the way, let's continue. Next, we take the number 221,002,205 and divide it by 2:
221,002,205 ÷ 2 = 110,501,102.5
If the quotient is a whole number, then 2 and 110,501,102.5 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 | 221,002,205 | |
| -1 | -221,002,205 |
Now, we try dividing 221,002,205 by 3:
221,002,205 ÷ 3 = 73,667,401.6667
If the quotient is a whole number, then 3 and 73,667,401.6667 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 | 221,002,205 | |
| -1 | -221,002,205 |
Let's try dividing by 4:
221,002,205 ÷ 4 = 55,250,551.25
If the quotient is a whole number, then 4 and 55,250,551.25 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 | 221,002,205 | |
| -1 | 221,002,205 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 95 | 593 | 2,965 | 3,923 | 11,267 | 19,615 | 56,335 | 74,537 | 372,685 | 2,326,339 | 11,631,695 | 44,200,441 | 221,002,205 |
| -1 | -5 | -19 | -95 | -593 | -2,965 | -3,923 | -11,267 | -19,615 | -56,335 | -74,537 | -372,685 | -2,326,339 | -11,631,695 | -44,200,441 | -221,002,205 |
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