A:
Positive:
1 x 2211320055 x 4422640117 x 1300776523 x 961443585 x 2601553115 x 1922887391 x 5655551955 x 113111
Negative:
-1 x -221132005-5 x -44226401-17 x -13007765-23 x -9614435-85 x -2601553-115 x -1922887-391 x -565555-1955 x -113111
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 221,132,005, 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 | 221,132,005 | |
| -1 | -221,132,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 221,132,005.
Example:
1 x 221,132,005 = 221,132,005
and
-1 x -221,132,005 = 221,132,005
Notice both answers equal 221,132,005
With that explanation out of the way, let's continue. Next, we take the number 221,132,005 and divide it by 2:
221,132,005 ÷ 2 = 110,566,002.5
If the quotient is a whole number, then 2 and 110,566,002.5 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 | 221,132,005 | |
| -1 | -221,132,005 |
Now, we try dividing 221,132,005 by 3:
221,132,005 ÷ 3 = 73,710,668.3333
If the quotient is a whole number, then 3 and 73,710,668.3333 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 | 221,132,005 | |
| -1 | -221,132,005 |
Let's try dividing by 4:
221,132,005 ÷ 4 = 55,283,001.25
If the quotient is a whole number, then 4 and 55,283,001.25 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 | 221,132,005 | |
| -1 | 221,132,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 23 | 85 | 115 | 391 | 1,955 | 113,111 | 565,555 | 1,922,887 | 2,601,553 | 9,614,435 | 13,007,765 | 44,226,401 | 221,132,005 |
| -1 | -5 | -17 | -23 | -85 | -115 | -391 | -1,955 | -113,111 | -565,555 | -1,922,887 | -2,601,553 | -9,614,435 | -13,007,765 | -44,226,401 | -221,132,005 |
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